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In this work, we prove that the power series converge to all orders in perturbation theory. Solving the RG equation at higher orders, we determine the running coupling as an implicit function of the two-loop-order running coupling. Then we analyze the singularity structure of the higher-order coupling in the complex two-loop coupling plane. This enables us to calculate the radii of convergence of the series solutions at the three- and four-loop orders as a function of the number of quark flavours n\n                \n                  f\n                . In parallel, we discuss in some detail the singularity structure of the \n                  \n                    \n                  \n                  $\\overline{\\rm MS}$\n                 coupling at the three- and four-loops in the complex-momentum squared plane for 0 ≤ n\n                \n                  f\n                 ≤ 16. The correspondence between the singularity structure of the running coupling in the complex-momentum squared plane and the convergence radius of the series solution is established. For sufficiently large n\n                \n                  f\n                 values, we find that the series converges for all values of the momentum-squared variable Q\n                2 = −q\n                2 > 0. For lower values of n\n                \n                  f\n                , in the \n                  \n                    \n                  \n                  $\\overline{\\rm MS}$\n                 scheme, we determine the minimal value of the momentum-squared Q\n                min\n                2 above which the series converges. We study properties of the non-power series corresponding to the presented power-series solution in the QCD analytic perturbation-theory approach of Shirkov and Solovtsov. 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A., Szymacha, A.: Z. Phys. C70, 125 (1996); Raczka, P. A.: [hep-ph\u002F0602085]",{},{"id":22,"text":394,"url":22,"identifiers":395},"Howe, D. M., Maxwell, C. J.: Phys. Lett. B541, 129 (2002); Howe, D. M., Maxwell, C. J.: Phys. Rev. D70, 014002 (2003)",{},{"id":397,"text":398,"url":399,"identifiers":400},"fc04595d-84c3-48c9-aa24-7b11c67435f8","D. S. Kourashev B. A. Magradze (2003) Theor. Math. Phys. 135 531 Occurrence Handle10.1023\u002FA:1023287519892","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1023\u002FA:1023287519892",{"doi":401},"10.1023\u002FA:1023287519892",{"id":22,"text":403,"url":22,"identifiers":404},"Kourashev, D. S.: [hep-ph\u002F9912410]",{},{"id":22,"text":406,"url":22,"identifiers":407},"C. J. Maxwell A. Marjalili (2000) Nucl. Phys. B577 209 Occurrence Handle10.1016\u002FS0550-3213(00)00184-X Occurrence Handle2000NuPhB.577..209M",{"doi":408},"10.1016\u002FS0550-3213(00)00184-XOccurrenceHandle2000NuPhB.577..209M",{"id":22,"text":410,"url":22,"identifiers":411},"G. Rodrigo A. Pich A. Santamaria (1998) Phys. Lett. B424 367 Occurrence Handle1998PhLB..424..367R",{},{"id":22,"text":413,"url":22,"identifiers":414},"Magradze, B. A.: [hep-ph\u002F0305020]",{},{"id":22,"text":416,"url":22,"identifiers":417},"T. Banks A. Zaks (1982) Nucl. Phys. B196 189 Occurrence Handle10.1016\u002F0550-3213(82)90035-9 Occurrence Handle1982NuPhB.196..189B",{"doi":418},"10.1016\u002F0550-3213(82)90035-9OccurrenceHandle1982NuPhB.196..189B",{"id":22,"text":420,"url":22,"identifiers":421},"V. A. Miransky (1999) Phys. Rev. D59 105003 Occurrence Handle1999PhRvD..59j5003M",{},{"id":22,"text":423,"url":22,"identifiers":424},"Oehme, R., Zimmermann, W.: Phys. Rev. D21, 471 (1980); Oehme, R.: Phys. Rev. D42, 4209 (1990); Nishijima, K.: Prog. Theor. Phys. 75, 1221 (1986)",{},{"id":22,"text":426,"url":22,"identifiers":427},"W. A. Bardeen et al. (1978) Phys. Rev. D18 3998 Occurrence Handle1978PhRvD..18.3998B",{},{"id":22,"text":429,"url":22,"identifiers":430},"P. M. Stevenson (1981) Phys. Rev. D23 2916 Occurrence Handle1981PhRvD..23.2916S",{},{"id":22,"text":432,"url":22,"identifiers":433},"P. I. Fomin et al. (1983) Riv. Nuovo Cim. 6 1 Occurrence Handle10.1007\u002FBF02511369",{"doi":434},"10.1007\u002FBF02511369",{"id":22,"text":436,"url":22,"identifiers":437},"C. D. Roberts A. G. Williams (1994) Prog. Part. Nucl. Phys. 33 477 Occurrence Handle10.1016\u002F0146-6410(94)90049-3 Occurrence Handle1994PrPNP..33..477R",{"doi":438},"10.1016\u002F0146-6410(94)90049-3OccurrenceHandle1994PrPNP..33..477R",{"id":22,"text":440,"url":22,"identifiers":441},"S. Bethke (2000) J. Phys. G26 R27 Occurrence Handle2000JPhG...26R..27B",{},{"id":22,"text":443,"url":22,"identifiers":444},"E. L. Ince (1956) Ordinary Differential Equations Dover New York",{},{"id":22,"text":446,"url":22,"identifiers":447},"Fuks, B. A., Levin, V. I.: Functions of Complex Variables and Their Applications: Special Topics. Moscow: State Publishing House 1951 (in Russian)",{},{"id":22,"text":449,"url":22,"identifiers":450},"R. M. Corless (2002) Essentials Maple 7 Springer New York",{},{"id":22,"text":452,"url":22,"identifiers":453},"A. Hurwitz R. Courant (1968) The Theory of Functions Nauka Moscow",{},{"id":22,"text":455,"url":22,"identifiers":456},"F. A. Chishtie et al. (2000) Prog. Theor. Phys. 104 603 Occurrence Handle10.1143\u002FPTP.104.603 Occurrence Handle2000PThPh.104..603C",{"doi":457},"10.1143\u002FPTP.104.603",{"id":22,"text":459,"url":22,"identifiers":460},"B. A. Magradze (2000) Comm. of the Joint Institute for Nuclear Research E222 2",{},{"id":22,"text":462,"url":22,"identifiers":463},"C. J. Maxwell (1997) Phys. Lett. B409 450 Occurrence Handle1483256 Occurrence Handle1997PhLB..409..450M",{},{"id":22,"text":465,"url":22,"identifiers":466},"G. Cvetič (1998) Phys. Rev. D57 3209 Occurrence Handle1998PhRvD..57.3209C",{},{"id":22,"text":468,"url":22,"identifiers":469},"G. Rodrigo (1993) Phys. Lett. B313 441 Occurrence Handle1993PhLB..313..441R",{},{"id":22,"text":471,"url":22,"identifiers":472},"O. V. Tarasov A. A. Vladimirov A. Yu. Zharkov (1980) Phys. Lett. B93 429 Occurrence Handle1980PhLB...93..429T",{},{"id":22,"text":474,"url":22,"identifiers":475},"T. Van Ritberger J. A. M. Vermaseren S. A. Larin (1997) Phys. Lett. B400 379 Occurrence Handle1997PhLB..400..379V",{},false,{"id":478,"createTime":479,"updateTime":480,"relativeEntities":481,"slug":482,"properties":483,"entityType":210,"verifyStatus":211,"verifyTime":494,"verifyNote":213,"languages":22,"translateLanguages":22,"viewCount":23,"primaryUrl":495,"fullTextUrl":496,"authors":497,"publicationType":234,"publisherRelationship":513,"citationCount":23,"citationInfo":563,"publishDate":566,"publishYear":564,"citationAnalyzeStatus":289,"lastCitationAnalyze":567,"indexDatabases":568,"openAccess":22,"references":22,"isForceReanalyzing":476},"730f0790-d988-415e-8138-3473c99ebc9f","2024-01-30T01:06:37.319+00:00","2026-08-15T01:34:31.731+00:00",[],"How-to-Study-Efimov-States-in-Exotic-Nuclei-",{"abstract":484,"title":486,"gsPaper":488,"references":490,"doi":492},{"EN":485},"The existence of Efimov states in atomic nuclei has been predicted by several authors considering 3-body systems of the form Core–neutron–neutron. While these states appear elusive and very challenging experimentally, we discuss possible reactions that can be used to produce and study them in exotic (weakly-bound) nuclei. Following simple arguments, we show that cross-sections relative to the ground states should scale with the parameter $${\\lambda_0}$$ , which is the same scale factor for binding energies and radii. We derive back of the envelope estimates for: one- and two-neutron transfer reactions, and inelastic scattering. The (d, p) reaction appears as the most promising approach and we discuss in more detail some experimental considerations using the example of $${^{19}C(d, p)^{20}C}$$ . These initial estimates could serve as a starting point for more refined and realistic calculations, which will be required for careful experimental planning and further analysis.",{"EN":487},"How to Study Efimov States in Exotic Nuclei?",{"VOID":489},"[\"8888874087908613273\"]",{"VOID":491},"citation_journal_title=Universal aspects of light halo nuclei. Prog. Part. Nucl. Phys.; citation_author=T. Frederico, A. Delfino, L. Tomio, M. Yamashita; citation_volume=67; citation_publication_date=2012; citation_pages=939; citation_doi=10.1016\u002Fj.ppnp.2012.06.001; citation_id=CR1\ncitation_journal_title=Recent experimental progress in nuclear halo structure studies. Prog. Part. Nucl. Phys.; citation_author=I. Tanihata, H. Savajols, R. Kanungo; citation_volume=68; citation_publication_date=2012; citation_pages=215; citation_doi=10.1016\u002Fj.ppnp.2012.07.001; citation_id=CR2\ncitation_journal_title=Comparing and contrasting nuclei and cold atomic gases. J. Phys. G Nucl. Part. Phys.; citation_author=N.T. Zinner, A.S. Jensen; citation_volume=40; citation_publication_date=2013; citation_pages=053101; citation_doi=10.1088\u002F0954-3899\u002F40\u002F5\u002F053101; citation_id=CR3\ncitation_journal_title=Universal properties and structure of halo nuclei. EPJA; citation_author=D. Canham, H-W. Hammer; citation_volume=37; citation_publication_date=2008; citation_pages=367; citation_id=CR4\nGreene, C.: Universal insights from few-body land. Phys. Today, 63, 40–45 (2010)\ncitation_journal_title=Energy levels arising from resonant two-body forces in a three-body system. Phys. Lett. B; citation_author=V. Efimov; citation_volume=33; citation_publication_date=1970; citation_pages=563; citation_id=CR6\ncitation_journal_title=Evidence for Efimov quantum states in an ultracold gas of caesium atoms. Nature; citation_author=T. Kraemer; citation_volume=440; citation_publication_date=2006; citation_pages=315; citation_id=CR7\ncitation_journal_title=Efimov states in halo nuclei. Phys. Rev. Lett.; citation_author=D.V. Fedorov, A.S. Jensen, K. Riisager; citation_volume=73; citation_publication_date=1994; citation_pages=2817; citation_id=CR8\nMazumdar I., Arora, Bhasin V.S.: Three-body analysis of the occurrence of efimov states in 2n halo nuclei such as \n                    \n                      \n                    \n                    $${^{19}}$$\n                    \n                      \n                        \n                      \n                    \n                  B, \n                    \n                      \n                    \n                    $${^{22}}$$\n                    \n                      \n                        \n                      \n                    \n                  C, and \n                    \n                      \n                    \n                    $${^{20}}$$\n                    \n                      \n                        \n                      \n                    \n                  C. Phys. Rev. C 61, 051303 (2000)\ncitation_journal_title=Universal aspects of efimov states and light halo nuclei. Phys. Rev. C; citation_author=A. Amorim, T. Frederico, L. Tomio; citation_volume=56; citation_publication_date=1997; citation_pages=R2378; citation_id=CR10\nYamashita, M.T., Frederico, T., Hussein, M.S.: A doorway to borromean halo nuclei: the samba configuration. Mod. Phys. Lett. A 21, 1749 [\n                    arXiv:nucl-th\u002F0501052\n                    \n                  ] (2006)\nHagen G., Hagen P., Hammer H.W., Platter L.: Efimov physics around the neutron-rich \n                    \n                      \n                    \n                    $${^{60}}$$\n                    \n                      \n                        \n                      \n                    \n                  C isotope. Phys. Rev. Lett. 111, 132501 (2013)\ncitation_journal_title=Efimov states and their fano resonances in a neutron-rich nucleus. Phys. Rev. Lett.; citation_author=I. Mazumdar, A.R.P. Rau, V.S. Bhasin; citation_volume=97; citation_publication_date=2006; citation_pages=062503; citation_id=CR13\nYamashita M.T., Frederico T., Tomio L.: Trajectory of neutron–neutron–\n                    \n                      \n                    \n                    $${^{18}}$$\n                    \n                      \n                        \n                      \n                    \n                  C excited three-body state. Phys. Lett. B 660, 339 (2008)\nGlendenning, N.: Direct nuclear reactions. Academic Press, New York (1983) (Reprinted by World Scientific Press), and references therein\nKunz, P.D.: DWUCK4 Program Manual. University of Colorado. \n                    http:\u002F\u002Fspot.colorado.edu\u002F~kunz\u002FDWBA.html\n                    \n                  \n                        \ncitation_journal_title=Reduction of spectroscopic strength: weakly-bound and strongly-bound single-particle states studied using one-nucleon knockout reactions. Phys. Rev. C; citation_author=A. Gade; citation_volume=77; citation_publication_date=2008; citation_pages=044306; citation_id=CR17\nMacchiavelli, A.O. et al.: NSCL\u002FReA3 Letter of Intent 14072 (2014)\nFacility for Rare Isotopes Beams, Michigan State University, \n                    http:\u002F\u002Fwww.frib.msu.edu\n                    \n                  \n                        \ncitation_journal_title=Prototype AT-TPC: toward a new generation active target time projection chamber for radioactive beam experiments. NIM A; citation_author=D. Susuki; citation_volume=691; citation_publication_date=2012; citation_pages=39; citation_id=CR20\ncitation_journal_title=MAYA: an active-target detector for binary reactions with exotic beams. NIM A; citation_author=C.E. Demonchy, W. Mittig; citation_volume=537; citation_publication_date=2007; citation_pages=145; citation_id=CR21\nMacchiaveli, A.O. et al.: Phenomenological analysis of B(E2) transition strengths in neutron-rich carbon isotopes. Phys. Rev. C 90, 67305, and references therein (2014)\ncitation_journal_title=Novel features of nuclear forces and shell evolution in exotic nuclei. Phys. Rev. Lett.; citation_author=T. Otsuka; citation_volume=105; citation_publication_date=2010; citation_pages=032501; citation_id=CR23\ncitation_journal_title=Three-body forces and shell structure in calcium isotopes. J. Phys. G Nucl. Part. Phys.; citation_author=J. Holt; citation_volume=39; citation_publication_date=2012; citation_pages=085111; citation_id=CR24",{"VOID":493},"10.1007\u002Fs00601-015-0998-4","2024-06-24T17:18:07.149+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00601-015-0998-4","https:\u002F\u002Flink.springer.com\u002Fcontent\u002Fpdf\u002F10.1007\u002Fs00601-015-0998-4.pdf",[498],{"id":499,"sortIndex":23,"researcher":22,"roles":500,"affiliations":501,"properties":510,"displayName":512,"givenName":22,"familyName":22},"af159751-8adc-4b3f-842b-0577e83491eb",[219],[502],{"id":503,"sortIndex":23,"affiliation":504,"properties":22},"b1dfebbb-d448-4fc1-b8c8-d9859d57dd48",{"id":503,"createTime":22,"updateTime":22,"relativeEntities":505,"slug":22,"properties":506,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":509,"statistic":22},[],{"title":507},{"VI":508},"Nuclear Science Division, Lawrence Berkeley National 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properties of mass-imbalanced three-body systems in 2D are studied using zero-range interactions in momentum space. The dependence of the three-particle binding energy on the parameters (masses and two-body energies) is highly non-trivial even in the simplest case of two identical particles and a distinct one. This dependence is parametrized for ground and excited states in terms of supercircles functions in the most general case of three distinguishable particles.",{"EN":579},"Universality of Three-Body Systems in 2D: Parametrization of the Bound States Energies",{"VOID":581},"[\"13715289493443254635\"]",{"VOID":583},"Tjon J.A.: Bound states of 4He with local interactions. Phys. Lett. B 56, 217–220 (1975)\nLamé, G.: Examen des différentes méthodes employées pour résoudre les problémes de géométrie (1818)\nBellotti F.F., Frederico T., Yamashita M.T., Fedorov D.V., Jensen A.S., Zinner N.T.: Supercircle description of universal three-body states in two dimensions. Phys. Rev. A 85, 025–601 (2012)\nAdhikari S.K.: Quantum scattering in two dimensions. Am. J. Phys. 54, 362 (1986)\nBellotti F.F., Frederico T., Yamashita M.T., Fedorov D.V., Jensen A.S., Zinner N.T.: Mass-imbalanced three-body systems in two dimensions. J. Phys. B 46(5), 055301 (2013)",{"VOID":585},"10.1007\u002Fs00601-014-0845-z","2024-08-30T22:40:59.209+00:00","http:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs00601-014-0845-z",[589,622,637,654,669,683],{"id":590,"sortIndex":23,"researcher":22,"roles":591,"affiliations":592,"properties":617,"displayName":619,"givenName":22,"familyName":22},"2ff251cd-7b04-481f-8c18-1d850d3c2f51",[219],[593,601,609],{"id":594,"sortIndex":23,"affiliation":595,"properties":22},"15a2fa24-4119-4876-8869-de7c38de98aa",{"id":594,"createTime":22,"updateTime":22,"relativeEntities":596,"slug":22,"properties":597,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":600,"statistic":22},[],{"title":598},{"VI":599},"Instituto Tecnológico de Aeronáutica, São José dos Campos, Brazil",[],{"id":602,"sortIndex":131,"affiliation":603,"properties":22},"98034774-94ed-4666-a47e-d1a0dcb7acec",{"id":602,"createTime":22,"updateTime":22,"relativeEntities":604,"slug":22,"properties":605,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":608,"statistic":22},[],{"title":606},{"VI":607},"Department of Physics and Astronomy, Aarhus University, Aarhus C, Denmark",[],{"id":610,"sortIndex":141,"affiliation":611,"properties":22},"ba9c6ca7-be9c-4f98-8ce1-eddc5d09cc1d",{"id":610,"createTime":22,"updateTime":22,"relativeEntities":612,"slug":22,"properties":613,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":616,"statistic":22},[],{"title":614},{"VI":615},"Instituto de Fomento e Coordenação Industrial, São José dos Campos, Brazil",[],{"title":618,"gsAuthor":620},{"VI":619},"F. 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The p\n                \n                  T\n                -integrated analogues can be linked directly to quark and gluon matrix elements using the operator product expansion in QCD, involving operators of definite twist. TMDs also involve operators of higher twist, which are not suppressed by powers of the hard scale, however. Taking into account gauge links that no longer are along the light-cone, one finds that new distribution functions arise. They appear at leading order in the description of azimuthal asymmetries in high-energy scattering processes. In analogy to the collinear operator expansion, we define a universal set of TMDs of definite rank and point out the importance for phenomenology.",{"EN":760},"Wilson Lines off the Light-Cone in TMD PDFs",{"VOID":762},"[]",{"EN":764},"",{"VOID":766},"Buffing M., Mulders P.: Gauge links for transverse momentum dependent correlators at tree-level. JHEP 1107, 065 (2011). doi:10.1007\u002FJHEP07(2011)065\nJaffe R.L.: Parton distribution functions for twist four. Nucl. Phys. B 229, 205 (1983). doi:10.1016\u002F0550-3213(83)90361-9\nDiehl M., Gousset T.: Time ordering in off-diagonal parton distributions. Phys. Lett. B 428, 359–370 (1998). doi:10.1016\u002FS0370-2693(98)00439-0\nLandshoff P.V., Polkinghorne J.C.: Models for hadronic and leptonic processes at high-energy. Phys. Rep. 5, 1–55 (1972). doi:10.1016\u002F0370-1573(72)90015-4\nBacchetta A., Boer D., Diehl M., Mulders P.J.: Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum. JHEP 0808, 023 (2008). doi:10.1088\u002F1126-6708\u002F2008\u002F08\u002F023\nRalston J.P., Soper D.E.: Production of dimuons from high-energy polarized proton-proton collisions. Nucl. Phys. B 152, 109 (1979). doi:10.1016\u002F0550-3213(79)90082-8\nTangerman R.D., Mulders P.J.: Intrinsic transverse momentum and the polarized Drell-Yan process. Phys. Rev. D 51, 3357–3372 (1995). doi:10.1103\u002FPhysRevD.51.3357\nBoer D.: Investigating the origins of transverse spin asymmetries at RHIC. Phys. Rev. D 60, 014012 (1999). doi:10.1103\u002FPhysRevD.60.014012\nPisano C., Boer D., Brodsky S.J., Buffing M.G., Mulders P.J.: Linear polarization of gluons and photons in unpolarized collider experiments. JHEP 1310, 024 (2013). doi:10.1007\u002FJHEP10(2013)024\nBomhof C.J., Mulders P.J., Pijlman F.: The construction of gauge-links in arbitrary hard processes. Eur. Phys. J. C47, 147–162 (2006)\nBelitsky A.V., Ji X., Yuan F.: Final state interactions and gauge invariant parton distributions. Nucl. Phys. B 656, 165–198 (2003)\nBoer D., Mulders P.J., Pijlman F.: Universality of T-odd effects in single spin and azimuthal asymmetries. Nucl. Phys. B 667, 201–241 (2003)\nBrodsky S.J., Hwang D.S., Schmidt I.: Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering. Phys. Lett. B 530, 99–107 (2002a)\nBrodsky S.J., Hwang D.S., Schmidt I.: Initial-state interactions and single-spin asymmetries in Drell-Yan processes. Nucl. Phys. B 642, 344–356 (2002b)\nBomhof C.J., Mulders P.J., Pijlman F.: Gauge link structure in quark quark correlators in hard processes. Phys. Lett. B 596, 277–286 (2004)\nBacchetta A., Bomhof C.J., Mulders P.J., Pijlman F.: Single spin asymmetries in hadron-hadron collisions. Phys. Rev. D 72, 034030 (2005)\nBomhof C.J., Mulders P.J.: Gluonic pole cross sections and single spin asymmetries in hadron-hadron scattering. JHEP 702, 29 (2007)\nBomhof C.J., Mulders P.J.: Non-universality of transverse momentum dependent parton distribution functions. Nucl. Phys. B 795, 409–427 (2008). doi:10.1016\u002Fj.nuclphysb.2007.11.024\nRogers T.C., Mulders P.J.: No generalized TMD-factorization in the hadro-production of high transverse momentum hadrons. Phys. Rev. D 81, 094006 (2010). doi:10.1103\u002FPhysRevD.81.094006\nMulders P.J., Tangerman R.D.: The complete tree-level result up to order 1\u002FQ for polarized deep-inelastic leptoproduction. Nucl. Phys. B 461, 197–237 (1996). doi:10.1016\u002F0550-3213(95)00632-X\nBacchetta A., Diehl M., Goeke K., Metz A., Mulders P.J.: Semi-inclusive deep inelastic scattering at small transverse momentum. JHEP 702, 93 (2007). doi:10.1088\u002F1126-6708\u002F2007\u002F02\u002F093\nEfremov A.V., Teryaev O.V.: On spin effects in quantum chromodynamics. Sov. J. Nucl. Phys. 36, 140 (1982)\nEfremov A.V., Teryaev O.V.: QCD asymmetry and polarized hadron structure functions. Phys. Lett. B 150, 383 (1985)\nQiu J.-W., Sterman G.F.: Single transverse spin asymmetries. Phys. Rev. Lett. 67, 2264–2267 (1991)\nQiu, J.-W., Sterman, G.: Single transverse spin asymmetries in direct photon production. Nucl. Phys. B 378, 52–78 (1992). doi:10.1016\u002F0550-3213(92)90003-T\nQiu J.-W., Sterman G.: Single transverse-spin asymmetries in hadronic pion production. Phys. Rev. D 59, 014004 (1999). doi:10.1103\u002FPhysRevD.59.014004\nKanazawa Y., Koike Y.: Chiral-odd contribution to single-transverse spin asymmetry in hadronic pion production. Phys Lett B 478, 121–126 (2000)\nBuffing M., Mukherjee A., Mulders P.: Generalized universality of higher transverse moments of quark TMD correlators. Phys. Rev. D 86, 074030 (2012). doi:10.1103\u002FPhysRevD.86.074030\nBuffing, M., Mulders, P., Mukherjee, A.: Universality of Quark and Gluon TMD Correlators. Int. J. Mod. Phys. Conf. Ser. 25, 1460003 (2014)\nCollins J.C., Metz A.: Universality of soft and collinear factors in hard-scattering factorization. Phys. Rev. Lett. 93, 252001 (2004)\nGamberg L.P., Mukherjee A., Mulders P.J.: Spectral analysis of gluonic pole matrix elements for fragmentation. Phys. Rev. D 77, 114026 (2008). doi:10.1103\u002FPhysRevD.77.114026\nMeissner S., Metz A.: Partonic pole matrix elements for fragmentation. Phys. Rev. Lett. 102, 172003 (2009). doi:10.1103\u002FPhysRevLett.102.172003\nGamberg L.P., Mukherjee A., Mulders P.J.: A model independent analysis of gluonic pole matrix elements and universality of TMD fragmentation functions. Phys. Rev. D 83, 071503 (2011). doi:10.1103\u002FPhysRevD.83.071503\nBuffing M., Mukherjee A., Mulders P.: Generalized universality of definite rank gluon transverse momentum dependent correlators. Phys. Rev. D 88, 054027 (2013a). doi:10.1103\u002FPhysRevD.88.054027\nBuffing, M., Mulders, P.: Color entanglement for azimuthal asymmetries in the Drell-Yan process (2013)\nCollins, J.: Foundations of perturbative QCD accepted for publication in Physical Review Letters. (2011a)\nCollins J.: New definition of TMD parton densities. Int. J. Mod. Phys. Conf. Ser. 04, 85–96 (2011b). doi:10.1142\u002FS2010194511001590\nCollins J., Rogers T.: The gluon distribution function and factorization in Feynman gauge. Phys. Rev. D 78, 054012 (2008). doi:10.1103\u002FPhysRevD.78.054012\nAybat S., Rogers T.C.: TMD parton distribution and fragmentation functions with QCD evolution. Phys. Rev. D 83, 114042 (2011). doi:10.1103\u002FPhysRevD.83.114042\nAybat S., Collins J.C., Qiu J.-W., Rogers T.C.: The QCD evolution of the sivers function. Phys. Rev. D 85, 034043 (2012a). doi:10.1103\u002FPhysRevD.85.034043\nAybat S.M., Prokudin A., Rogers T.C.: Calculation of TMD evolution for transverse single spin asymmetry measurements. Phys. Rev. Lett. 108, 242003 (2012b). doi:10.1103\u002FPhysRevLett.108.242003\nRogers T.C.: Extra spin asymmetries from the breakdown of transverse-momentum-dependent factorization in hadron-hadron collisions. Phys. Rev. D 88(1), 014002 (2013). doi:10.1103\u002FPhysRevD.88.014002",{"VOID":768},"10.1007\u002Fs00601-014-0843-1","2024-06-25T11:24:49.079+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00601-014-0843-1",[772,787],{"id":773,"sortIndex":23,"researcher":22,"roles":774,"affiliations":775,"properties":784,"displayName":786,"givenName":22,"familyName":22},"4a54692a-494f-4a60-8f91-d4f5e4cf7b5b",[219],[776],{"id":777,"sortIndex":23,"affiliation":778,"properties":22},"4b3f996e-5d8b-41f2-ad50-ba1c44a06e8c",{"id":777,"createTime":22,"updateTime":22,"relativeEntities":779,"slug":22,"properties":780,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":783,"statistic":22},[],{"title":781},{"VI":782},"Theory Group, Nikhef and Department of Physics, Faculty of Science, VU University, Amsterdam, The Netherlands",[],{"title":785},{"VI":786},"P. J. 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I discuss applications of this method to nuclear forces and few-nucleon dynamics. Various related topics including recent advances in nuclear lattice simulations are also addressed.",{"EN":857},"Few-Body Physics in Chiral Effective Field Theory: Recent Developments",{"VOID":762},{"VOID":860},"Platter L.: Low-energy universality in atomic and nuclear physics. Few Body Syst. 46, 139–171 (2009)\nHammer H.-W., Platter L.: Efimov states in nuclear and particle physics. Ann. Rev. Nucl. Part. Sci. 60, 207–236 (2010)\nWeinberg S.: Nuclear forces from chiral Lagrangians. Phys. Lett. B 251, 288–292 (1990)\nWeinberg S.: Nuclear forces from chiral Lagrangians. Nucl. Phys. B 363, 3–18 (1991)\nEpelbaum E.: Few-nucleon forces and systems in chiral effective field theory. Prog. Part. Nucl. Phys. 57, 654–741 (2006)\nEpelbaum E., Hammer H.-W., Meissner U.-G.: Modern theory of nuclear forces. Rev. Mod. Phys. 81, 1773–1825 (2009)\nMachleidt R., Entem D.R.: Chiral effective field theory and nuclear forces. Phys. Rept. 503, 1–75 (2011)\nEntem D.R., Machleidt R.: Accurate charge dependent nucleon nucleon potential at fourth order of chiral perturbation theory. Phys. Rev. C 68, 041001 (2003)\nEpelbaum E., Glockle W., Meissner U.-G.: The two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005)\nMachleidt, R.: contribution to these proceedings\nIshikawa S., Robilotta M.R.: Two-pion exchange three-nucleon potential: O(q**4) chiral expansion. Phys. Rev. C 76, 014006 (2007)\nBernard V., Epelbaum E., Krebs H., Meissner U.-G.: Subleading contributions to the chiral three-nucleon force. I. Long-range terms. Phys. Rev. C 77, 064004 (2008)\nBernard, V., Epelbaum, E., Krebs, H., Meissner, U.-G.: Subleading contributions to the chiral three-nucleon force II: short-range terms and relativistic corrections. [arXiv:1108.3816 [nucl-th\nEpelbaum E.: Four-nucleon force in chiral effective field theory. Phys. Lett. B 639, 456–461 (2006)\nEpelbaum E.: Four-nucleon force in chiral effective field theory. Eur. Phys. J. A 34, 197–214 (2007)\nPark T.-S., Min D.-P., Rho M.: Chiral Lagrangian approach to exchange vector currents in nuclei. Nucl. Phys. A 596, 515–552 (1996)\nPark T.-S., Min D.-P., Rho M.: Chiral dynamics and heavy fermion formalism in nuclei. 1. Exchange axial currents. Phys. Rept. 233, 341–395 (1993)\nPastore S., Schiavilla R., Goity J.L.: Electromagnetic two-body currents of one- and two-pion range. Phys. Rev. C 78, 064002 (2008)\nPastore S., Girlanda L., Schiavilla R., Viviani M., Wiringa R.B.: Electromagnetic currents and magnetic moments in χEFT. Phys. Rev. C 80, 034004 (2009)\nPastore S., Girlanda L., Schiavilla R., Viviani M.: The two-nucleon electromagnetic charge operator in chiral effective field theory (χEFT) up to one loop. Phys. Rev. C 84, 024001 (2011)\nKölling S., Epelbaum E., Krebs H., Meißner U.-G.: Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation. Phys. Rev. C 80, 045502 (2009)\nKolling, S., Epelbaum, E., Krebs, H., Meissner, U.-G.: Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions. [arXiv:1107.0602 [nucl-th\nEpelbaum E., Gloeckle W., Meissner U.-G.: Nuclear forces from chiral Lagrangians using the method of unitary transformation. 2. The two nucleon system. Nucl. Phys. A 671, 295–331 (2000)\nEpelbaum E.: Four-nucleon force using the method of unitary transformation. Eur. Phys. J. A 34, 197–214 (2007)\nEpelbaum E., Gloeckle W., Meissner U.-G.: Nuclear forces from chiral Lagrangians using the method of unitary transformation. 1. Formalism. Nucl. Phys. A 637, 107–134 (1998)\nRozpedzik D. et al.: Signatures of the chiral two-pion exchange electromagnetic currents in the 2H and 3He photodisintegration reactions. Phys. Rev. C 83, 064004 (2011)\nEpelbaum E., Gloeckle W., Meissner U.-G.: Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004)\nArenhövel H., Sanzone M.: Photodisintegration of the deuteron: a review of theory and experiment. Few Body Syst. Suppl. 3, 1–183 (1991)\nGross F., Stadler A.: Covariant spectator theory of np scattering: phase shifts obtained from precision fits to data below 350~MeV. Phys. Rev. C 78, 014005 (2008)\nKalantar-Nayestanaki, N., Epelbaum, E., Messchendorp, J.G., Nogga, A.: Signatures of three-nucleon interactions in few-nucleon systems. [arXiv:1108.1227 [nucl-th\nvan Kolck U.: Few nucleon forces from chiral Lagrangians. Phys. Rev. C 49, 2932–2941 (1994)\nEpelbaum E. et al.: Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064001 (2002)\nNavratil P., Gueorguiev V.G., Vary J.P., Ormand W.E., Nogga A.: Structure of A=10–13 nuclei with two plus three-nucleon interactions from chiral effective field theory. Phys. Rev. Lett. 99, 042501 (2007)\nGazit D., Quaglioni S., Navratil P.: Three-nucleon low-energy constants from the consistency of interactions and currents in chiral effective field theory. Phys. Rev. Lett. 103, 102502 (2009)\nBaru V. et al.: p-wave pion production from nucleon–nucleon collisions. Phys. Rev. C 80, 044003 (2009)\nGardestig A., Phillips D.R.: How low-energy weak reactions can constrain three-nucleon forces and the neutron–neutron scattering length. Phys. Rev. Lett. 96, 232301 (2006)\nRoth R., Langhammer J., Calci A., Binder S., Navratil P.: Similarity-transformed chiral NN+3N interactions for the Ab initio description of 12-C and 16-O. Phys. Rev. Lett. 107, 072501 (2011)\nHebeler K., Lattimer J.M., Pethick C.J., Schwenk A.: Constraints on neutron star radii based on chiral effective field theory interactions. Phys. Rev. Lett. 105, 161102 (2010)\nFriar J.L., Coon S.A.: Non-adiabatic contributions to static two-pion-exchange nuclear potentials. Phys. Rev. C 49, 1272–1280 (1994)\nSkibinski, R., et al.: The triton with long-range chiral N3LO three nucleon forces. [arXiv:1107.5163 [nucl-th\nKrebs H., Epelbaum E.: The role of delta-resonance in chiral few nucleon forces. Few Body Syst. 50, 295–298 (2011)\nMachleidt, R., Entem, D.R.: Nuclear forces from chiral EFT: the Unfinished business, J. Phys.G G37, 064041 (2010). [arXiv:1001.0966 [nucl-th\nMuller H.M., Koonin S.E., Seki R., van Kolck U.: Nuclear matter on a lattice. Phys. Rev. C 61, 044320 (2000)\nLee D., Borasoy B., Schafer T.: Nuclear lattice simulations with chiral effective field theory. Phys. Rev. C 70, 014007 (2004)\nBorasoy B., Epelbaum E., Krebs H., Lee D., Meissner U.-G.: Lattice simulations for light nuclei: chiral effective field theory at leading order. Eur. Phys. J. A 31, 105–123 (2007)\nLee D.: Lattice simulations for few- and many-body systems. Prog. Part. Nucl. Phys. 63, 117–154 (2009)\nLuscher M.: Volume dependence of the energy spectrum in massive quantum field theories. 2. scattering states. Commun. Math. Phys. 105, 153–188 (1986)\nBorasoy B., Epelbaum E., Krebs H., Lee D., Meissner U.-G.: Two-particle scattering on the lattice: phase shifts, spin-orbit coupling, and mixing angles. Eur. Phys. J. A 34, 185–196 (2007)\nEpelbaum E., Krebs H., Lee D., Meissner U.-G.: Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order. Eur. Phys. J. A 41, 125–139 (2009)\nEpelbaum E., Krebs H., Lee D., Meissner U.-G.: Lattice effective field theory calculations for A = 3,4,6,12 nuclei. Phys. Rev. Lett. 104, 142501 (2010)\nEpelbaum E., Krebs H., Lee D., Meissner U.-G.: Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory. Eur. Phys. J. A 45, 335–352 (2010)\nEpelbaum E., Krebs H., Lee D., Meissner U.-G.: Ab initio calculation of the Hoyle state. Phys. Rev. Lett. 106, 192501 (2011)\nLepage, G.P.: How to renormalize the Schrodinger equation. [nucl-th\u002F9706029]\nPavon Valderrama M., Ruiz Arriola E.: Renormalization of the deuteron with one pion exchange. Phys. Rev. C 72, 054002 (2005)\nNogga A., Timmermans R.G.E., van Kolck U.: Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054006 (2005)\nEpelbaum, E., Meissner, U.-G.: On the renormalization of the one-pion exchange potential and the consistency of Weinberg’s power counting. [nucl-th\u002F0609037]\nLong B., van Kolck U.: Renormalization of singular potentials and power counting. Ann. Phys. 323, 1304–1323 (2008)\nEpelbaum E., Gegelia J.: Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009)\nBirse, M.C.: The renormalisation group and nuclear forces, Submitted to: Phil.Trans.Roy.Soc.Lond. [arXiv:1012.4914 [nucl-th",{"VOID":862},"10.1007\u002Fs00601-012-0326-1","2024-06-25T14:42:40.930+00:00","https:\u002F\u002Fidp.springer.com\u002Fauthorize?response_type=cookie&client_id=springerlink&redirect_uri=https%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00601-012-0326-1",[866],{"id":867,"sortIndex":23,"researcher":22,"roles":868,"affiliations":869,"properties":878,"displayName":880,"givenName":22,"familyName":22},"8c9b6716-e288-4f6e-a09c-f550a601fd7e",[219],[870],{"id":871,"sortIndex":23,"affiliation":872,"properties":22},"adac96ec-3950-465d-9654-56adf2a51fd6",{"id":871,"createTime":22,"updateTime":22,"relativeEntities":873,"slug":22,"properties":874,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":877,"statistic":22},[],{"title":875},{"VI":876},"Institut fuer Theoretische Physik II, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, Bochum, Germany",[],{"title":879},{"VI":880},"Evgeny Epelbaum",{"url":864,"publisher":882,"properties":924},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":883,"slug":10,"properties":884,"entityType":20,"verifyStatus":21,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":23,"subjectFields":888,"manageAffiliations":893,"indexDatabases":904,"url":22,"thumbnailPath":22,"statistic":919,"gsStatistic":22,"type":190,"analyzePriority":22},[],{"issn":885,"title":886,"eissn":887},{"VOID":15},{"EN":17},{"VOID":13},[889],{"id":26,"createTime":22,"updateTime":22,"relativeEntities":890,"label":891,"description":892,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":29},{},[894,899],{"id":33,"createTime":22,"updateTime":22,"relativeEntities":895,"slug":22,"properties":896,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":898,"statistic":22},[],{"title":897},{"EN":37},[39],{"id":41,"createTime":22,"updateTime":22,"relativeEntities":900,"slug":22,"properties":901,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":903,"statistic":22},[],{"title":902},{"EN":45},[39],[905,912],{"id":66,"indexDatabase":906,"url":77,"indexYears":78,"academicFieldIds":911,"indexDatabaseRanking":81},{"id":68,"createTime":22,"updateTime":22,"relativeEntities":907,"label":908,"description":909,"key":74,"publicationTags":910,"standard":22},[],{"EN":71,"VI":71},{"EN":71,"VI":73},[76],[80],{"id":49,"indexDatabase":913,"url":62,"indexYears":22,"academicFieldIds":918,"indexDatabaseRanking":22},{"id":51,"createTime":22,"updateTime":22,"relativeEntities":914,"label":915,"description":916,"key":58,"publicationTags":917,"standard":22},[],{"EN":54,"VI":54},{"EN":56,"VI":57},[60,61],[64],{"impactFactor":23,"impactFactorByYear":920,"i10Index":95,"i10IndexLast5Year":96,"totalPublication":97,"totalPublicationByYear":921,"totalCitation":129,"totalCitationByYear":922,"totalCitationPerPublication":155,"totalCitationPerPublicationByYear":923,"hindexLast5Year":189,"hindex":189},{"2012":84,"2013":85,"2014":86,"2015":87,"2016":88,"2017":89,"2018":90,"2019":91,"2020":92,"2021":93,"2022":93,"2023":94},{"1986":99,"1987":100,"1988":101,"1989":102,"1990":103,"1991":104,"1992":105,"1993":106,"1994":107,"1995":99,"1996":108,"1997":109,"1998":110,"1999":111,"2000":112,"2001":108,"2002":110,"2003":113,"2004":106,"2005":114,"2006":107,"2007":115,"2008":116,"2009":106,"2010":117,"2011":118,"2012":119,"2013":120,"2014":121,"2015":122,"2016":123,"2017":116,"2018":124,"2019":125,"2020":104,"2021":126,"2022":127,"2023":128,"2024":111},{"1986":114,"1987":131,"1988":132,"1989":133,"1990":134,"1991":131,"1992":135,"1993":136,"1994":137,"1995":138,"1996":139,"1997":109,"1998":140,"1999":141,"2000":142,"2001":143,"2002":138,"2003":127,"2004":144,"2005":105,"2006":145,"2007":99,"2008":104,"2009":146,"2010":101,"2011":120,"2012":147,"2013":148,"2014":149,"2015":117,"2016":99,"2017":134,"2018":150,"2019":151,"2020":152,"2021":153,"2022":154},{"1986":157,"1987":158,"1988":159,"1989":160,"1990":161,"1991":162,"1992":163,"1993":164,"1994":165,"1995":164,"1996":166,"1997":131,"1998":167,"1999":168,"2000":169,"2001":93,"2002":170,"2003":171,"2004":172,"2005":173,"2006":174,"2007":175,"2008":176,"2009":177,"2010":178,"2011":179,"2012":180,"2013":181,"2014":182,"2015":183,"2016":184,"2017":185,"2018":186,"2019":155,"2020":157,"2021":187,"2022":188},{"pages":925,"volume":927},{"VOID":926},"11-17",{"VOID":928},"54","2012-03-09",2012,"2026-07-22T20:53:06.495+00:00",[81,60],{"id":934,"createTime":935,"updateTime":936,"relativeEntities":937,"slug":938,"properties":939,"entityType":210,"verifyStatus":211,"verifyTime":949,"verifyNote":213,"languages":22,"translateLanguages":22,"viewCount":23,"primaryUrl":950,"fullTextUrl":22,"authors":951,"publicationType":234,"publisherRelationship":976,"citationCount":22,"citationInfo":22,"publishDate":1024,"publishYear":1025,"citationAnalyzeStatus":844,"lastCitationAnalyze":936,"indexDatabases":1026,"openAccess":22,"references":22,"isForceReanalyzing":476},"2ffdf867-e1c0-443f-815d-94da532e1518","2024-01-20T20:27:05.343+00:00","2026-07-22T08:04:46.547+00:00",[],"Tetraquark-Insights-from-Quark-Models-and-Schwinger-Dyson-Equations",{"abstract":940,"title":942,"gsPaper":944,"references":945,"doi":947},{"EN":941},"We recall the diquark model of baryons and tetraquark states in both quark models and Schwinger–Dyson equations based on the diquark model. We slightly discuss the connection between quark models and the contact interaction model based on the Schwinger–Dyson and Bethe–Salpeter equations approach. Finally, by adopting the quark models ideas in the tetraquark picture, we calculate a mass value for the \n                  \n                    \n                  \n                  $$bb {\\bar{b}}{\\bar{b}}$$\n                  \n                    \n                  \n                 of 18.44 GeV.",{"EN":943},"Tetraquark Insights from Quark Models and Schwinger–Dyson Equations",{"VOID":762},{"VOID":946},"L. Micu, Nucl. Phys. B 10, 521 (1969)\nA. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Phys. Rev. D 8, 2223 (1973)\nE. Eichten, K. Gottfried, T. Kinoshita, J.B. Kogut, K.D. Lane, T.M. Yan, Phys. Rev. Lett. 34, 369 (1975) [Erratum: [Phys. Rev. Lett. 36, 1276 (1976)]]\nN. Isgur, G. Karl, Phys. Rev. D 20, 1191 (1979)\nS. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985)\nS. Capstick, N. Isgur, Phys. Rev. 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Santopinto (in preparation)",{"VOID":948},"10.1007\u002Fs00601-019-1487-y","2024-06-25T20:48:10.709+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00601-019-1487-y",[952],{"id":953,"sortIndex":23,"researcher":22,"roles":954,"affiliations":955,"properties":973,"displayName":975,"givenName":22,"familyName":22},"d9f7cd74-4b26-4e99-8ae7-13406f1f41b1",[219],[956,964],{"id":957,"sortIndex":23,"affiliation":958,"properties":22},"cbe8a330-f3ea-4b3f-a5c5-da3ac90473dc",{"id":957,"createTime":22,"updateTime":22,"relativeEntities":959,"slug":22,"properties":960,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":963,"statistic":22},[],{"title":961},{"VI":962},"Istituto Nazionale di Fisica Nucleare (INFN), Genoa, Italy",[],{"id":965,"sortIndex":131,"affiliation":966,"properties":972},"11d43522-2925-4675-b0f5-d3ac20d911e6",{"id":965,"createTime":22,"updateTime":22,"relativeEntities":967,"slug":22,"properties":968,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":971,"statistic":22},[],{"title":969},{"VI":970},"Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Mexico",[],{},{"title":974},{"VI":975},"M. 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Bedolla",{"url":950,"publisher":977,"properties":1019},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":978,"slug":10,"properties":979,"entityType":20,"verifyStatus":21,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":23,"subjectFields":983,"manageAffiliations":988,"indexDatabases":999,"url":22,"thumbnailPath":22,"statistic":1014,"gsStatistic":22,"type":190,"analyzePriority":22},[],{"issn":980,"title":981,"eissn":982},{"VOID":15},{"EN":17},{"VOID":13},[984],{"id":26,"createTime":22,"updateTime":22,"relativeEntities":985,"label":986,"description":987,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":29},{},[989,994],{"id":33,"createTime":22,"updateTime":22,"relativeEntities":990,"slug":22,"properties":991,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":993,"statistic":22},[],{"title":992},{"EN":37},[39],{"id":41,"createTime":22,"updateTime":22,"relativeEntities":995,"slug":22,"properties":996,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":998,"statistic":22},[],{"title":997},{"EN":45},[39],[1000,1007],{"id":66,"indexDatabase":1001,"url":77,"indexYears":78,"academicFieldIds":1006,"indexDatabaseRanking":81},{"id":68,"createTime":22,"updateTime":22,"relativeEntities":1002,"label":1003,"description":1004,"key":74,"publicationTags":1005,"standard":22},[],{"EN":71,"VI":71},{"EN":71,"VI":73},[76],[80],{"id":49,"indexDatabase":1008,"url":62,"indexYears":22,"academicFieldIds":1013,"indexDatabaseRanking":22},{"id":51,"createTime":22,"updateTime":22,"relativeEntities":1009,"label":1010,"description":1011,"key":58,"publicationTags":1012,"standard":22},[],{"EN":54,"VI":54},{"EN":56,"VI":57},[60,61],[64],{"impactFactor":23,"impactFactorByYear":1015,"i10Index":95,"i10IndexLast5Year":96,"totalPublication":97,"totalPublicationByYear":1016,"totalCitation":129,"totalCitationByYear":1017,"totalCitationPerPublication":155,"totalCitationPerPublicationByYear":1018,"hindexLast5Year":189,"hindex":189},{"2012":84,"2013":85,"2014":86,"2015":87,"2016":88,"2017":89,"2018":90,"2019":91,"2020":92,"2021":93,"2022":93,"2023":94},{"1986":99,"1987":100,"1988":101,"1989":102,"1990":103,"1991":104,"1992":105,"1993":106,"1994":107,"1995":99,"1996":108,"1997":109,"1998":110,"1999":111,"2000":112,"2001":108,"2002":110,"2003":113,"2004":106,"2005":114,"2006":107,"2007":115,"2008":116,"2009":106,"2010":117,"2011":118,"2012":119,"2013":120,"2014":121,"2015":122,"2016":123,"2017":116,"2018":124,"2019":125,"2020":104,"2021":126,"2022":127,"2023":128,"2024":111},{"1986":114,"1987":131,"1988":132,"1989":133,"1990":134,"1991":131,"1992":135,"1993":136,"1994":137,"1995":138,"1996":139,"1997":109,"1998":140,"1999":141,"2000":142,"2001":143,"2002":138,"2003":127,"2004":144,"2005":105,"2006":145,"2007":99,"2008":104,"2009":146,"2010":101,"2011":120,"2012":147,"2013":148,"2014":149,"2015":117,"2016":99,"2017":134,"2018":150,"2019":151,"2020":152,"2021":153,"2022":154},{"1986":157,"1987":158,"1988":159,"1989":160,"1990":161,"1991":162,"1992":163,"1993":164,"1994":165,"1995":164,"1996":166,"1997":131,"1998":167,"1999":168,"2000":169,"2001":93,"2002":170,"2003":171,"2004":172,"2005":173,"2006":174,"2007":175,"2008":176,"2009":177,"2010":178,"2011":179,"2012":180,"2013":181,"2014":182,"2015":183,"2016":184,"2017":185,"2018":186,"2019":155,"2020":157,"2021":187,"2022":188},{"pages":1020,"volume":1022},{"VOID":1021},"1-7",{"VOID":1023},"60","2019-03-23",2019,[81,60],{"id":1028,"createTime":1029,"updateTime":1030,"relativeEntities":1031,"slug":1032,"properties":1033,"entityType":210,"verifyStatus":211,"verifyTime":1044,"verifyNote":213,"languages":22,"translateLanguages":22,"viewCount":23,"primaryUrl":1045,"fullTextUrl":22,"authors":1046,"publicationType":234,"publisherRelationship":1114,"citationCount":23,"citationInfo":1162,"publishDate":1165,"publishYear":1163,"citationAnalyzeStatus":21,"lastCitationAnalyze":1166,"indexDatabases":1167,"openAccess":22,"references":22,"isForceReanalyzing":476},"0a9fdea5-b282-43e2-808c-1450a472e7bf","2024-01-08T09:51:47.289+00:00","2026-07-21T10:51:31.832+00:00",[],"Interpreting-Charm-Strange-Mesons-with-a-Screened-Potential-Model",{"abstract":1034,"title":1036,"gsPaper":1038,"references":1040,"doi":1042},{"EN":1035},"Our effort is to assign the spin–parity of experimentally unknown excited charm-strange mesons such as \n                \n                  \n                \n                $$D_{s1}(2536)^{\\pm }$$\n                \n              , \n                \n                  \n                \n                $$D_{s2}^*(2573)^{\\pm }$$\n                \n              , \n                \n                  \n                \n                $$D_{s1}^*(2860)^{\\pm }$$\n                \n              , \n                \n                  \n                \n                $$D_{s3}^*(2860)^{\\pm }$$\n                \n               and \n                \n                  \n                \n                $$D_{sJ}(3040)^{\\pm }$$\n                \n               within the phenomenological framework of color-Coulomb plus screened potential model. To see the relativistic effect in the quark–antiquark bound state, we introduce the first-order correction \n                \n                  \n                \n                $$\\mathcal {O}$$\n                \n               \n                \n                  \n                \n                $$\\left( \\frac{1}{m}\\right) $$\n                \n               in the potential energy term and expanding the kinetic energy term up to \n                \n                  \n                \n                $$\\mathcal {O}$$\n                \n               \n                \n                  \n                \n                $$(\\mathbf {p}^{10})$$\n                \n              . The spin–spin, spin–orbit and the spin–tensor interaction terms are incorporated perturbatively to see splitting in mass spectra. The spectroscopy of radially and orbitally excited charm-strange mesons are allows to construct the Regge trajectories in \n                \n                  \n                \n                $$(M^2, J)$$\n                \n               and \n                \n                  \n                \n                $$(M^2, n_r)$$\n                \n               planes. Moreover, the radiative transitions and the decay properties of this excited charm-strange mesons are also calculated. Our results are listed with other theoretical outcomes obtained from the various potential model as well as with the experimental observations where available. These phenomenological study of excited charm-strange mesons could provide valuable information on the future experimental search for the missing higher radial and orbital excitations.\n",{"EN":1037},"Interpreting Charm-Strange Mesons with a Screened Potential Model",{"VOID":1039},"[\"16749050503769724969\"]",{"VOID":1041},"P.A. 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C 71, 1534 (2011)",{"VOID":1043},"10.1007\u002Fs00601-021-01651-y","2024-05-10T17:30:13.612+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00601-021-01651-y",[1047,1072,1093],{"id":1048,"sortIndex":23,"researcher":22,"roles":1049,"affiliations":1050,"properties":1067,"displayName":1069,"givenName":22,"familyName":22},"1e19d45a-4586-46eb-b67b-8bf96fa34b9c",[219],[1051,1059],{"id":1052,"sortIndex":23,"affiliation":1053,"properties":22},"6701efb6-94d0-4f63-892f-6aa7a6f4d8d1",{"id":1052,"createTime":22,"updateTime":22,"relativeEntities":1054,"slug":22,"properties":1055,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1058,"statistic":22},[],{"title":1056},{"VI":1057},"Department of Physics, Sardar Vallabhbhai National Institute of Technology, Surat, 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The linear entropy of the quasi-one dimensional systems is discussed in dependence on the confinement anisotropy and the interaction strength. A comparison with a strictly one-dimensional limit is performed.",{"EN":1914},"Entanglement of Two Charged Bosons in Strongly Anisotropic Traps",{"VOID":1916},"[\"16269427279616694354\"]",{"VOID":1918},"Astrakharchik G.E., Girardeau M.D.: Exact ground-state properties of a one-dimensional Coulomb gas. Phys. Rev. B 83, 153303 (2011)\nMurphy D.S., McCann J.F., Goold J., Busch Th.: Boson pairs in a one-dimensional split trap. Phys. Rev. A 76, 053616 (2007)\nKościk P., Okopińska A.: Two-electron entanglement in elliptically deformed quantum dots. Phys. Lett. A 374, 3841 (2010)\nGhirardi G., Marinatto L.: General criterion for the entanglement of two indistinguishable particles. Phys. Rev. A 70, 012109 (2004)\nKościk P., Okopińska A.: Ground-state correlation properties of charged bosons trapped in strongly anisotropic harmonic potentials. Eur. 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