Geodesic
Asymptotic behavior of charge-exchange amplitude
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 66-82 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The eikonal approximation in the distorted wave formalism is modified for application to three-particle scattering with rearrangement in the region in which neither the Born nor the adiabatic approximation is valid. The long-range effects due to Coulomb interaction between the particles in both the entrance and exit reaction channels are investigated. The leading asymptotic term (in the large impact parameter) of the eikonal charge exchange amplitude is calculated for transitions between $s$ states of atoms. It is shown that the general expression for the amplitude correctly describes both limiting eases $v\ll v_0$ and $v\gg v_0$. 
@article{TMF_1992_91_1_a5,
     author = {P. P. Gorvat and V. Yu. Lazur and L. P. Presnyakov and D. B. Uskov},
     title = {Asymptotic behavior of charge-exchange amplitude},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {66--82},
     year = {1992},
     volume = {91},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a5/}
}
TY  - JOUR
AU  - P. P. Gorvat
AU  - V. Yu. Lazur
AU  - L. P. Presnyakov
AU  - D. B. Uskov
TI  - Asymptotic behavior of charge-exchange amplitude
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 66
EP  - 82
VL  - 91
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a5/
LA  - ru
ID  - TMF_1992_91_1_a5
ER  - 
%0 Journal Article
%A P. P. Gorvat
%A V. Yu. Lazur
%A L. P. Presnyakov
%A D. B. Uskov
%T Asymptotic behavior of charge-exchange amplitude
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 66-82
%V 91
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a5/
%G ru
%F TMF_1992_91_1_a5
P. P. Gorvat; V. Yu. Lazur; L. P. Presnyakov; D. B. Uskov. Asymptotic behavior of charge-exchange amplitude. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 66-82. http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a5/

[1] Merkurev S. P., Faddeev L. D., Kvantovaya teoriya rasseyaniya dlya sistem neskolkikh chastits, Nauka, M., 1985 | MR

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

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

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

[5] Presnyakov L. P., Shevelko V. P., Yanev R. K., Elementarnye protsessy s uchastiem mnogozaryadnykh ionov, Energoatomizdat, M., 1986

[6] Ermolaev A. M., Noble C. J., Bransden B. H., J. Phys. B, 15:3 (1982), 457–469 | DOI

[7] Aaron R., Amado R. D., Lee B. W., Phys. Rev., 121:2 (1961), 319–329 | DOI | MR

[8] Potapov V. S., TMF, 43:1 (1980), 65–77 | MR

[9] Toshima N., Ishihara T., Eichler J., Phys. Rev. A, 36:6 (1987), 2659–2666 | DOI

[10] Kamke E., Spravochnik po differentsialnym uravneniyam v chastnykh proizvodnykh pervogo poryadka, Nauka, M., 1966 | Zbl

[11] Chibisov M. I., ZhETF, 69:2(8) (1975), 457–466

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

[13] Demkov Yu. N., “The physics of electronic and atomic collisions”, Invited lectures and progress reports, VIII IC PEAC, Beograd, 1973, 26

[14] Clementi E., Roetti C., Atom. Data and Nucl. Data Tables, 14 (1974), 177–478 | DOI

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

[16] Firsov O. B., ZhETF, 21:9 (1951), 1001–1008

[17] Jackson J. D., Schiff H., Phys. Rev., 89:3 (1953), 359–371 | DOI

[18] Brodskii A. M., Potapov V. S., Tolmachev V. V., ZhETF, 58:1 (1970), 264–280 | MR

[19] Vinogradov A. V., Shevelko V. P., ZhETF, 59 (1970), 593–598

[20] Gemmell D. S., Rev. Mod. Phys., 46:1 (1974), 129–138 | DOI