Geodesic
Asymptotic behavior of charge-exchange amplitude at relativistic velocities and binding energies
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 451-477 Cet article a éte moissonné depuis la source Math-Net.Ru

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The leading asymptotic term (for large impact parameters) of the charge-exchange amplitude for $1s_{1/2}\to 1s_{1/2}$ transitions is calculated in a modified relativistic eikonal approximation. Relativistic effects are taken into account in the kinematics of electron capture and in the description of the bound states. A study is made of the effects of the long-range interaction due to the Coulomb interaction between the particles in the entrance and exit reaction channels. The analytic results obtained in the nonrelativistic limit ($c\to \infty$) for the charge-exchange amplitude in the asymptotic region of large impact parameters are valid for all velocities, going over in the adiabatic limit into the well-known expressions of Firsov and in the limit of high velocities into the expressions of the Born approximation. 
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     author = {P. P. Gorvat and V. Yu. Lazur},
     title = {Asymptotic behavior of charge-exchange amplitude at relativistic velocities and binding energies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {451--477},
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     volume = {95},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a4/}
}
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P. P. Gorvat; V. Yu. Lazur. Asymptotic behavior of charge-exchange amplitude at relativistic velocities and binding energies. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 451-477. http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a4/

[1] Horsdal-Pedersen E., Cocke C.L., Stockli M., Phys. Rev. Lett., 50:24 (1983), 1910–1913 | DOI

[2] Shakeshaft R., Spruch L., Rev. Mod. Phys., 51:2 (1979), 369–405 | DOI

[3] Mittleman M. H., Proc. Phys. Soc. London, 84:2 (1964), 453–469 | DOI

[4] Shakeshaft R., Phys. Rev. A, 20:2 (1979), 729–735

[5] Moiseiwitsch B. L., Stockman S. G., J. Phys. B, 13:15 (1980), 2975–2981 | DOI | MR

[6] Eichler J., Phys. Rev. A, 35:8 (1987), 3248–3255 | DOI

[7] Deco G. R., Rivarola R. D., J. Phys. B, 19:12 (1986), 1759–1770 | DOI

[8] Deco G. R., Rivarola R. D., J. Phys. B, 20:19 (1987), 5117–5125 | DOI

[9] Demkov Yu. N., Ostrovskii B. H., Shevchenko S. I., YaF, 37:1 (1983), 94–104

[10] Berestetskii V. B., Lifshits E. M., Pitaevskii L. P., Kvantovaya elektrodinamika, Nauka, M., 1989 | MR

[11] Landau L. D., Lifshits E. M., Teoriya polya, Nauka, M., 1988 | MR

[12] Belkič Dź., Gayet R., Salin A., Phys. Rep., 56:6 (1979), 279–369 | DOI

[13] Merkuriev S. P., Ann. Phys., 130:2 (1980), 395 | DOI | MR | Zbl

[14] Deco G. R., Rivarola R. D., Nucl. Instrum. and Meth. Phys. Res., B28:1 (1987), 154–156 | DOI

[15] Toshima N., Eichler J., Phys. Rev. A., 41:9 (1990), 5221–5224 | DOI

[16] Miraglia J. E., Phys. Rev. A, 30:4 (1984), 1721–1728 | DOI

[17] Demkov Yu. N., VIII ICPEAC, Abstracts Papers, v. 2, Beograd, 1973, 799

[18] Demkov Yu. N., VIII ICPEAC, Invited Lect. and Progr. Repts., Beograd, 1973, 26

[19] Fedoryuk M. V., Metod perevala, Nauka, M., 1977 | MR

[20] Demkov Yu. N., Ostrovskii V. N., ZhETF, 69:5(11) (1975), 1582–1593

[21] Firsov O. B., ZhETF, 21:3(9) (1951), 1001–1009

[22] Smirnov B. M., Asimptoticheskie metody v teorii atomnykh stolknovenii, Atomizdat, M., 1973

[23] Brinkman H. C., Kramers H. A., Proc. Acad. Sci. Amsterdam, 33:4 (1930), 973–984 | Zbl

[24] Brodskii A. M., Potapov B. C., Tolmachev V. V., ZhETF, 58:1 (1970), 264–271 | MR

[25] Vinogradov A. V., Shevelko V. P., ZhETF, 59:2(8) (1970), 593–598e