Transfer of a weakly bound electron in collisions of Rydberg atoms with neutral particles. I. Long-range interaction effects in the ionic-covalent coupling
Tóm tắt
Ion-pair formation processes are studied in collisions of Rydberg atoms with neutral particles possessing small electron affinities. Nonadiabatic transitions from a Rydberg covalent term to an ionic term of a quasi-molecule are considered using the modified Landau-Zener theory supplemented with calculation of survival factors of an anion decaying in the Coulomb field of a positive ion core. Using the technique of irreducible tensor operators and the momentum representation of the wavefunction of a highly excited atom, exact expressions are obtained for transition matrix elements and the ionic-covalent coupling parameter. The approach developed in the paper provides the description beyond the scope of a conventional assumption about a small variation of the wavefunction of the Rydberg atom on the range of electron coordinates determined by the characteristic radius of the wavefunction of the anion. This allows one to correctly consider long-range effects of the interaction between a weakly bound electron and the neutral core of a negative ion in processes under study. It is shown by the example of thermal collisions of Xe(nf) atoms with CH3CN molecules that this is very important for a reliable quantitative description of anion formation with a low binding energy. The results are compared with experiments and calculations performed within the framework of a number of approximate methods.
Tài liệu tham khảo
Rydberg States of Atoms and Molecules, Ed. by R. Stebbings and F. Dunning (Cambridge University Press, Cambridge, 1983; Mir, Moscow, 1985).
T. F. Gallagher, Rydberg Atoms (Cambridge University Press, Cambridge, 1994).
V. S. Lebedev and I. L. Beigman, Physics of Highly Excited Atoms and Ions (Springer-Verlag, Berlin, 1998).
G. V. Golubkov and G. K. Ivanov, Rydberg States of Atoms and Molecules and Elementary Processes with Their Participation (Librokom, Moscow, 2009) [in Russian].
N. Saquet, A. Cournol, J. Beugnon, J. Robert, P. Pillet, and N. Vanhaecke, Phys. Rev. Lett. 104, 133003 (2010).
C. L. Vaillant, M. P. A. Jones, and R. M. Potvliege, J. Phys. B: At., Mol. Opt. Phys. 45, 135004 (2012).
C. Ticknor and S. T. Rittenhouse, Phys. Rev. Lett. 105, 013201 (2010).
T. Pohl, H. R. Sadeghpour, and P. Schmelcher, Phys. Rep. 484, 181 (2009).
V. Bendkowsky, B. Butscher, J. Nipper, J. P. Shaffer, R. Löw, and T. Pfau, Nature (London) 458, 1005 (2009).
V. Bendkowsky, B. Butscher, J. Nipper, J. B. Balewski, J. P. Shaffer, R. Löw, T. Pfau, W. Li, J. Stanojevic, T. Pohl, and J. M. Rost, Phys. Rev. Lett. 105, 163201 (2010).
M. Cannon, Y. Liu, and F. B. Dunning, Chem. Phys. Lett. 458, 35 (2008).
M. Cannon and F. B. Dunning, J. Chem. Phys. 130, 044304 (2009).
M. Cannon, C. H. Wang, and F. B. Dunning, Chem. Phys. Lett. 479, 30 (2009).
M. Cannon, C. H. Wang, F. B. Dunning, and C. O. Reinhold, J. Chem. Phys. 133, 064301 (2010).
R. C. Shiell, X. K. Hu, Q. C. J. Hu, and J. W. Hepburn, Faraday Discuss. 115, 331 (2000).
E. Reinhold and W. Ubachs, Mol. Phys. 103, 1329 (2005).
M. O. Vieitez, T. I. Ivanov, E. Reinhold, C. A. de Lange, and W. Ubachs, Phys. Rev. Lett. 101, 163001 (2008).
M. Matsuzawa, in Rydberg States of Atoms and Molecules, Ed. by R. Stebbings and F. Dunning (Cambridge University Press, Cambridge, 1983; Mir, Moscow, 1985), Chap. 8.
L. Petitjean, F. Gounand, and P. R. Fournier, Phys. Rev. A: At., Mol., Opt. Phys. 30, 71 (1984); L. Petitjean, F. Gounand, and P. R. Fournier, Phys. Rev. A: At., Mol., Opt. Phys. 30, 736 (1984); L. Petitjean, F. Gounand, and P. R. Fournier, Phys. Rev. A: At., Mol., Opt. Phys. 33, 143 (1986).
M. Kimura and N. F. Lane, Phys. Rev. A: At., Mol., Opt. Phys. 42, 1258 (1990).
F. B. Dunning, J. Phys. B: At., Mol. Opt. Phys. 28, 1645 (1995).
A. Omont, J. Phys. (Paris) 38, 1343 (1977).
J. Derouard and M. Lombardi, J. Phys. B: At., Mol. Phys. 11, 3875 (1978).
E. de Prunelé and J. Pascale, J. Phys. B: At., Mol. Phys. 12, 2511 (1979).
F. Gounand and L. Petitjean, Phys. Rev. A: At., Mol., Opt. Phys. 30, 61 (1984).
V. S. Lebedev and V. S. Marchenko, Sov. Phys. JETP 61(3), 443 (1985).
B. Kaulakys, J. Phys. B: At., Mol. Phys. 18, L167 (1985).
E. Fermi, Nuovo Cimento 11, 157 (1934).
V. S. Lebedev and I. I. Fabrikant, Phys. Rev. A: At., Mol., Opt. Phys. 54, 2888 (1996).
V. S. Lebedev and I. I. Fabrikant, J. Phys. B: At., Mol. Opt. Phys. 30, 2649 (1997).
V. S. Lebedev, J. Phys. B: At., Mol. Opt. Phys. 31, 1579 (1998).
V. S. Lebedev and V. S. Marchenko, Sov. Phys. JETP 64(2), 251 (1986).
V. S. Lebedev and V. S. Marchenko, J. Phys. B: At., Mol. Phys. 20, 6041 (1987).
B. M. Smirnov, Asymptotic Methods in the Theory of Atomic Collisions (Atomizdat, Moscow, 1973) [in Russian].
Yu. N. Demkov and V. N. Ostrovskii, Zero-Range Potentials and Their Application in Atomic Physics (Leningrad State University, Leningrad, 1975; Plenum, New York, 1988).
E. A. Andreev and E. E. Nikitin, in Plasma Physics, Ed. by B. M. Smirnov (Atomizdat, Moscow, 1976), issue 3, p. 28 [in Russian].
R. K. Janev, Adv. Atom. Mol. Phys. 12, 1 (1976).
V. M. Galitskii, E. E. Nikitin, and B. M. Smirnov, Theory of Collisions of Atomic Particles (Nauka, Moscow, 1981) [in Russian].
M. I. Chibisov and R. K. Janev, Phys. Rep. 166, 1 (1988).
M. I. Chibisov, Phys.-Usp. 45(1), 1 (2002).
R. F. Stebbings, C. J. Latimer, W. P. West, F. B. Dunning, and T. B. Cook, Phys. Rev. A: At., Mol., Opt. Phys. 12, 1453 (1975).
T. W. Ducas, M. G. Littman, R. R. Freeman, and D. Kleppner, Phys. Rev. Lett. 35, 366 (1975).
T. F. Gallagher, L. M. Humphrey, R. M. Hill, and S. A. Edelstein, Phys. Rev. Lett. 37, 1465 (1976).
C. E. Klots, J. Chem. Phys. 66, 5240 (1977).
G. W. Foltz, C. J. Latimer, G. F. Hildebrandt, F. G. Kellert, K. A. Smith, W. P. West, F. B. Dunning, and R. F. Stebbings, J. Chem. Phys. 67, 1352 (1977).
B. G. Zollars, C. Higgs, F. Lu, C. W. Walter, L. G. Gray, K. A. Smith, F. B. Dunning, and R. F. Stebbings, Phys. Rev. A: At., Mol., Opt. Phys. 32, 3330 (1985).
I. M. Beterov, G. L. Vasilenko, B. M. Smirnov, and N. V. Fateev, Sov. Phys. JETP 66(1), 17 (1987).
B. M. Smirnov, Sov. Phys.-Usp. 23(8), 450 (1980).
I. I. Fabrikant, Commun. At. Mol. Phys. 32, 267 (1996).
Yu. N. Demkov and V. I. Osherov, Sov. Phys. JETP 26(5), 916 (1967).
I. I. Fabrikant, J. Phys. B: At., Mol. Opt. Phys. 31, 2921 (1998).
I. I. Fabrikant and V. S. Lebedev, J. Phys. B: At., Mol. Opt. Phys. 33, 1521 (2000).
I. I. Fabrikant and M. I. Chibisov, Phys. Rev. A: At., Mol., Opt. Phys. 61, 022718 (2000).
C. Desfrancois, Phys. Rev. A: At., Mol., Opt. Phys. 51, 3667 (1995).
E. Yu. Buslov and B. A. Zon, Phys. Rev. A: At., Mol., Opt. Phys. 85, 042709 (2012).
C. Desfrancois, H. Abdoul-Carime, N. Khelifa, and J. P. Shermann, Phys. Rev. Lett. 73, 2436 (1994).
M. Reicherts, T. Roth, A. Gopalan, M.-W. Ruf, H. Hotop, C. Desfrançois, and I. I. Fabrikant, Europhys. Lett. 40, 129 (1997).
B. M. Smirnov and M. I. Chibisov, Sov. Phys. JETP 22, 1211 (1965).
A. A. Radtsig and B. M. Smirnov, Sov. Phys. JETP 33, 282 (1971).
Yu. N. Demkov and G. F. Drukarev, Sov. Phys. JETP 54(4), 650 (1981).
I. V. Komarov, P. A. Pogorelyi, and A. S. Tibilov, Opt. Spektrosk. 27, 198 (1969).
E. A. Andreev, Theor. Chim. Acta 30, 191 (1973); E. A. Andreev, Theor. Chim. Acta 34, 73 (1974).
R. K. Janev and A. Salin, J. Phys. B: At., Mol. Phys. 5, 177 (1972).
C. Herring, Rev. Mod. Phys. 34, 631 (1962).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Volume 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1974; Butterworth-Heinemann, Oxford, 1985).
L. P. Gor’kov and L. P. Pitaevskii, Sov. Phys. Dokl. 8, 788 (1963).
B. M. Smirnov, Sov. Phys. JETP 19, 692 (1964); B. M. Smirnov, Sov. Phys. JETP 24 (2), 314 (1966); B. M. Smirnov, Sov. Phys. Dokl. 10, 218 (1965).
B. M. Smirnov and O. B. Firsov, Sov. Phys. JETP 20, 156 (1964).
M. Ya. Ovchinnikova, Sov. Phys. JETP 22, 194 (1965).
L. P. Presnyakov, Phys. Rev. A: At., Mol., Opt. Phys. 2, 1720 (1970).
E. A. Andreev, Theor. Chim. Acta 28, 235 (1973).
T. M. Kereselidze and M. I. Chibisov, Sov. Phys. JETP 41(1), 6 (1975).
D. A. Varshalovich, A. N. Moskalev and V. K. Khersonskii, Quantum Theory of the Angular Momentum (Nauka, Moscow, 1975; World Scientific, Singapore, 1989).
V. S. Lebedev, JETP 76(1), 27 (1993).
C. H. Greene, A. R. P. Rau, and U. Fano, Phys. Rev. A: At., Mol., Opt. Phys. 26, 2441 (1982).
Ch. H. Greene and A. R. P. Rau, Phys. Rev. A: At., Mol., Opt. Phys. 32, 1352 (1985).
C. R. Liu, N. Y. Du, and A. F. Starace, Phys. Rev. A: At., Mol., Opt. Phys. 43, 5891 (1991).
V. E. Chernov, A. V. Danilyan, and B. A. Zon, Phys. Rev. A: At., Mol., Opt. Phys. 80, 022702 (2009).
G. V. Mil’nikov, H. Nakamura, and J. Horacek, Comput. Phys. Commun. 135, 278 (2001).
M. J. Seaton, Rep. Prog. Phys. 46, 167 (1983).
M. Matsuzawa, J. Phys. B: At., Mol. Phys. 8, 2114 (1975); M. Matsuzawa, J. Phys. B: At., Mol. Phys. 9, 2559 (1976).