Abstract
The relativistic eikonal approximation and a matching procedure are used to describe excitation and ionization of hydrogen-like atoms from an arbitrary discrete energy state by the impact of a highly charged relativistic bare ion. Bethe-type formulas are derived that are asymptotically valid in the limits of v → c and Z ≫ 1, where v is the relative collision velocity, c is the speed of light, and Z is the ion charge.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Inokuti, Rev. Mod. Phys. 43, 297 (1971).
J. Eichler and W. E. Meyerhof, Relativistic Atomic Collisions (Academic, New York, 1995).
J. Eichler, Phys. Rep. 193, 165 (1990).
V. I. Matveev, Kh. Yu. Rakhimov, and D. U. Matrasulov, J. Phys. B: At., Mol. Opt. Phys. 32, 3849 (1999).
V. I. Matveev, Fiz. Élem. Chastits At. Yadra 26, 780(1995).
V. I. Matveev and Kh. Yu. Rakhimov, Zh. Éksp. Teor. Fiz. 1145, 1646 (1998) [JETP 87 (5), 891 (1998)].
P. K. Khabibullaev, V. I. Matveev, and D. U. Matrasulov, J. Phys. B: At., Mol. Opt. Phys. 31, L607 (1998).
V. I. Matveev and E. S. Gusarevich, Pis’ma Zh. Tekh. Fiz. 28(12), 19 (2002) [Tech. Phys. Lett. 28 (6), 497 (2002)].
V. I. Matveev and E. S. Gusarevich, Zh. Éksp. Teor. Fiz. 123(1), 42 (2003) [JETP 96 (1), 34 (2003)].
C. A. Bertulani and G. Baur, Phys. Rep. 163, 299 (1988).
B. L. Moiseiwitsch, Phys. Rep. 118, 133 (1985).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989; Butterworth-Heinemann, Oxford, 1991).
A. R. Holt, J. Phys. B: At. Mol. Phys. 2, 1209 (1969).
D. P. Dewangan, J. Phys. B: At., Mol. Opt. Phys. 38,S107 (2005).
Handbook on Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Ed. by M. Abramovitz and I. A. Stegun) (US Government Printing Office, Washington, 1964; Nauka, Moscow, 1979).
D. P. Higgins, J. Geddes, and H. B. Gilbody, J. Phys. B: At., Mol. Opt. Phys. 29, 1219 (1996).
J. T. Park, Adv. At. Mol. Phys. 19, 67 (1983).
D. Detleffsen, M. Anton, A. Werner, and K.-H. Schartner, J. Phys. B: At., Mol. Opt. Phys. 27, 4195 (1994).
M. B. Shah and H. B. Gilbody, J. Phys. B: At. Mol. Phys. 14, 2831 (1981).
M. B. Shah and H. B. Gilbody, J. Phys. B: At. Mol. Phys.15, 413 (1982).
M. B. Shah and H. B. Gilbody, J. Phys. B: At. Mol. Phys. 16, 4395 (1983).
A. S. Schlachter, K. H. Berkner, W. G. Graham, R. V. Pyle, J. W. Stearns, and J. A. Tanis, Phys. Rev. A: At., Mol., Opt. Phys. 24, 1110 (1981).
K. H. Berkner, W. G. Graham, R. V. Pyle, A. S. Schlachter, J. W. Stearns, and R. E. Olson, J. Phys. B: At. Mol. Phys. 11, 875 (1978).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1: Elementary Functions (Nauka, Moscow, 1981; Gordon and Breach, New York, 1986).
R. Graham, D. Knuth, and O. Patashnik, Concrete Mathematics: A Foundation for Computer Science (Addison-Wesley, Boston, MA, United States, 1994; Mir, Moscow, 1998).
H. Bateman and A. Erdélyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953; Nauka, Moscow, 1973), Vol. 1.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.S. Gusarevich, V.I. Matveev, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 134, No. 6, pp. 1093–1102.
Rights and permissions
About this article
Cite this article
Gusarevich, E.S., Matveev, V.I. Excitation and ionization cross sections of hydrogen-like atoms in collisions with relativistic highly charged ions. J. Exp. Theor. Phys. 107, 933–941 (2008). https://doi.org/10.1134/S1063776108120030
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776108120030