Superstatistical properties of a fermion–antifermion pair interacting via Dirac oscillator coupling in one-dimension
Tóm tắt
We consider a fermion–antifermion pair interacting through Dirac oscillator interaction in one-spatial dimension and obtain an exact energy spectrum for such a composite system by solving the corresponding form of a fully covariant two-body Dirac equation. This energy spectrum shows that the considered composite system behaves as a single quantum oscillator carrying total rest mass of the particles and allows to analyze thermal properties of the system in question. To acquire this, we study the thermal properties of such a pair in the framework of the theory of superstatistics where the probability density
$$f(\beta )$$
follows three distributions: Gamma, Log-normal and F-distributions. First of all, we determine the partition function under the approximation of the low-energy asymptotics of superstatistics through the Euler–Maclaurin formula. By using the desired partition function, we determine all of the thermal properties for such a pair in terms of the parameter q and discuss the results.
Tài liệu tham khảo
M. Moshinsky, A. Szczepaniak, J. Phys. A: Math. Gen. 22, L817 (1989)
D. Itô, K. Mori, E. Carriere, Il Nuovo Cimento A 51, 1119–1121 (1967)
P.A. Cook, Lett. Nuovo Cimento 1, 419 (1971)
Y.F.S. Marcos Moshinsky, The Harmonic Oscillator in Modern Physics (CRC Press, Florida, 1996)
J. Bentez, R. M. y Romero, H. Núez-Yépez, A. Salas-Brito, Phys. Rev. Lett. 64, 1643 (1990)
M. Moreno, A. Zentella, J. Phys. A: Math. Gen. 22, L821 (1989)
M. Moshinsky, G. Loyola, Found. Phys. 23, 197–210 (1993)
J. Yang, J. Piekarewicz, Phys. Rev. C 102, 054308 (2020)
J. Grineviciute, D. Halderson, Phys. Rev. C 80, 044607 (2009)
R. Martínez-y Romero, A. Salas-Brito, J. Math. Phys. 33, 1831–1836 (1992)
C. Quesne, M. Moshinsky, J. Phys. A: Math. Gen. 23, 2263 (1990)
C. Quesne, V. Tkachuk, J. Phys. A: Math. Gen. 38, 1747 (2005)
A. Bermudez, M. Martin-Delgado, A. Luis, Phys. Rev. A 77, 063815 (2008)
A. Bermudez, M. Martin-Delgado, E. Solano, Phys. Rev. A 76, 041801 (2007)
A. Bermudez, M. Martin-Delgado, A. Luis, Phys. Rev. A 77, 033832 (2008)
S. Longhi, Opt. Lett. 35, 1302–1304 (2010)
P. Rozmej, R. Arvieu, J. Phys. A: Math. Gen. 32, 5367 (1999)
J.-A. Franco-Villafañe, E. Sadurni, S. Barkhofen, U. Kuhl, F. Mortessagne, T. Seligman, Phys. Rev. Lett. 111, 170405 (2013)
M.H. Pacheco, R.R. Landim, C.A.S. Almeida, Phys. Lett. A 311, 93–96 (2003)
A. Guvendi, Eur. Phys. J. C 81, 1–7 (2021)
A. Barut, G. Strobel, Few-Body Syst. 1, 167–180 (1986)
A. Barut, J. Math. Phys. 32, 1091–1095 (1991)
A. Barut, S. Komy, Fortschr. Phys. 33, 309–318 (1985)
A. Barut, Phys. Lett. B 237, 436–439 (1990)
R. Giachetti, E. Sorace, Ann. Phys. 401, 202–223 (2019)
G. Breit, Phys. Rev. 34, 553 (1929)
A. Barut, N. Ünal, Fortschr. Phys. 33, 319–332 (1985)
A. Barut, N. Ünal, Phys. A 142, 467–487 (1987)
A. Barut, N. Ünal, Phys. A 142, 488–497 (1987)
P. Van Alstine, H.W. Crater, Found. Phys. 27, 67–79 (1997)
E.E. Salpeter, H.A. Bethe, Phys. Rev. 84, 1232 (1951)
N. Kemmer, Nature 140, 192–193 (1937)
E. Fermi, C.-N. Yang, Phys. Rev. 76, 1739 (1949)
A. Guvendi, S.G. Dogan, Few-Body Syst. 62, 1–8 (2021)
A. Guvendi, R. Sahin, Y. Sucu, Sci. Rep. 9, 1–6 (2019)
A. Guvendi, R. Sahin, Y. Sucu, Eur. Phys. J. B 94, 1–7 (2021)
A. Guvendi, Int. J. Mod. Phys. A 36, 2150144 (2021)
A. Guvendi, Y. Sucu, Phys. Lett. B 811, 135960 (2020)
C. Beck, E.G.D. Cohen, Phys. A 322, 267–275 (2003)
E.G.D. Cohen, Physica D 139, 35–52 (2004)
C. Beck, Phil. Trans. R. Soc. A 369, 453–465 (2011)
T. Yamano, Prog. Theor. Phys. 162, 87–96 (2006)
H. Touchette, C. Beck, Phys. Rev. E 71, 016131 (2005)
A. Boumali, F. Serdouk, S. Dilmi, Phys. A 553, 124207 (2020)
C. Tsallis, A.M.C. Souza, Phys. Rev. E 67, 026106 (2003)
J. HunHan, Phys. A 392, 4288–4298 (2018)
S. Sargolzaeipor, H. Hassanabadi, W. Chung, Eur. Phys. J. Plus 133, 1–7 (2018)
S. Sargolzaeipor, H. Hassanabadi, W. Chung, Eur. Phys. J. Plus 133, 125 (2018)
S. Sargolzaeipor, H. Hassanabadi, W.S. Chung, Eur. Phys. J. Plus. 133, 157 (2018)
S. Sargolzaeipor, H. Hassanabadi, W.S. Chung, Mod. Phys. Lett. A 33, 1850060 (2018)
W.S. Chung, H. Hassanabadi, Phys. A 516, 496–501 (2019)
W.S. Chung, H. Hassanabadi, Phys. A 554, 124712 (2020)
W.S. Chung, A.I. Goker, H. Hassanabadi, Phys. A 568, 128729 (2021)
K. Ourabah, M. Tribeche, Phys. Lett. A 381, 2659–2664 (2017)
A. Ayala, M. Hentschinski, L. Hernández, M. Loewe, R. Zamora, Phys. Rev. D 98, 114002 (2018)
M. Anvari, E. Proedrou, B. Schaefer, C. Beck, H. Kantz, M. Timme, arXiv:2009.09287 [physics.app-ph] (2009)
P. O. Amadi, C. O. Edet, U. S. Okorie, G. T. Osobonye, G. J. Rampho, A. N. Ikot, arXiv:2001.10496 [physics.chem-ph] (2020)
J.D. Castano-Yepes, A. Lujan-Cabrera, C.F. Ramirez-Gutierrez, Phys. A 580, 125206 (2021)
J.D. Castano-Yepes, D.A. Amor-Quiroz, Phys. A 548, 123871 (2020)
J. D. Castano-Yepes, arXiv:2107.08079 [quant-ph] (2021)
J.D. Castano-Yepes, C.F. Ramirez-Gutierrez, Phys. Rev. E 104, 024139(arXiv:2105.05376 [quant-ph]) (2021)
J. Fuentes, O. Obregon, arXiv:2101.09147 [cs.CC] (2021)
A. Boumali, F. Serdouk, S. Dilmi, arXiv:2006.09915 (2020)
C. Beck, Eur. Phys. J. A 40, 267–273 (2009)
W.S. Chung, H. Hassanabadi, Mod. Phys. Lett. A , 2050147 (2020)
C. Beck, Braz. J. Phys. 39, 357–363 (2009)
A. Sinha, P. Roy, Mod. Phys. Lett. A 20, 2377–2385 (2005)
J.S. Pedernales, M. Beau, S.M. Pittman, I.L. Egusquiza, L. Lamata, E. Solano, A. del Campo, Phys. Rev. Lett. 120, 160403 (2018)
M. Dernek, S. G. DOĞAN, Y. Sucu, N. ÜNAL, Turk., J. Phys. 42, 509–526 (2018)
G.E. Andrews, R. Askey, R. Roy, Special Functions (Cambridge University Press, Cambridge, 1999)
M.H. Pacheco, R.V. Maluf, C.A.S. Almeida, R.R. Landim, EPL 108, 10005 (2014)
H.H.A. Boumali, Eur. Phys. J. Plus 128, 1–13 (2013)
A. Boumali, EJTP 12, 121–130 (2015)
S. Kim, W.S. Chung, H. Hassanabadi, Eur. Phys. J. Plus 134, 572 (2019)
W.S. Chung, H. Hassanabadi, Mod. Phys. Lett. A , 2050074 (2019)
W.S. Chung, H. Hassanabadi, Fortschr. Phys , 1800111 (2019)
A. Guha, K.D. Prasanta, Phys. A 495, 18–29 (2018)