Adiabatic asymptotic theory of the two-electron exchange at relativistic binding energies
DOI:
https://doi.org/10.24144/2415-8038.2008.22.96-104Keywords:
Asymptotic theory, Two-electron exchange, Binding energiesAbstract
An asymptotic (over a large internuclear distance) theory of two-electron exchange in collision of a multielectron atom and multiply charged ion is constructed. In the framework of the quasirelativistic Dirac-Breit approximation the matrix element of two-electron exchange interaction is analytically calculated. This approach allows to take into account the relativistic effects connected with the magnetic and retardation interelectron interactions. In the nonrelativistic limit the matrix element obtained proceeds to the result of paper.
References
A. Belkacem, H. Could, B. Feinberg, R. Bossngham, W.E. Meyerhof, Phys. Rev. A56, 2806 (1997).
A. Belkacem, N. Claytor, T. Dinneen, B. Feinberg, H. Could, Phys. Rev. A58, 1253 (1998).
I.V. Komarov, R.К. Janev, Zh. Eksp. Teor. Fiz., 1712 (1966).
M.I. Chibisov, Zh. Eksp. Teor. Fiz., 1687 (1976).
T.P. Grozdanov, R.K. Janev, J. Phys. B13, 3341 (1980).
M.I. Karbovanets, V.Yu. Lazur, M.I. Chibisov, Zh. Eksp. Teor. Fiz., 84 (1984).
T.P. Grozdanov, R.K. Janev, V.Yu. Lazur, Phys. Scripta, 64 (1985).
M.I. Chibisov, R.K. Janev, Phys. Rep., 1 (1988).
E.E. Nikitin, S.Ya. Umanskii, Nonadiabatic Transitions at Slow Atomic Collisions [in Russian], Мoscow, Atomizdat, 1979.
I.K. Fetisov, O.B. Firsov, Zh. Eksp. Teor. Fiz., 95 (1959).
A.I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics [in Russian] (2nd ed.), Nauka, Moscow, 1981; English transl. prev. ed., Elements of Quantum Electrodynamics, Oldbourne, London, 1962.
P.P. Gorvat, V.Yu. Lazur, S.I. Migalina, I.M. Shuba, R.K. Yanev, Theor. Math. Phys., 1423 (1996).
I.S. Gradshtein, I.M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York, 1969.
H. Bateman and A. Erdelyi, eds., Higher Transcendental Functions (based on notes left by H. Bateman), Vol. 1, 2, McGraw-Hill, New York, 1953.
V.S. Popov, Zh. Eksp. Teor. Fiz., 35 (1973).
H.A. Bethe, E.E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms, Springer, Berlin, 1957.
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