Geodesic
Mass corrections in a strong nuclear field
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 394-405 
V. M. Shabaev. Mass corrections in a strong nuclear field. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 394-405. http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a7/
@article{TMF_1985_63_3_a7,
     author = {V. M. Shabaev},
     title = {Mass corrections in a~strong nuclear field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {394--405},
     year = {1985},
     volume = {63},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a7/}
}
TY  - JOUR
AU  - V. M. Shabaev
TI  - Mass corrections in a strong nuclear field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 394
EP  - 405
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a7/
LA  - ru
ID  - TMF_1985_63_3_a7
ER  - 
%0 Journal Article
%A V. M. Shabaev
%T Mass corrections in a strong nuclear field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 394-405
%V 63
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a7/
%G ru
%F TMF_1985_63_3_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of quantum electrodynamics, we consider the bound states of a system of two fermions with masses $m$ (electron) and $M$ (nucleus). In the case $m\ll M$ and with radiative corrections ignored, closed expressions are obtained for the mass corrections of order $m/M$ without an expansion in $\alpha Z$ ($\alpha$ is the fine structure constant, and $Z$ is the charge of the nucleus).

[1] Salpeter E. E., Phys. Rev., 57:2 (1952), 328–343 | DOI

[2] Labzovskii L. N., Teoriya atomnykh spektrov, Doklady 17-go Vsesoyuznogo s'ezda po spektroskopii, ch. 2 (Moskva, 1972), Astrosovet, M., 1972, 89–93

[3] Braun M. A., ZhETF, 64:2 (1973), 413–423

[4] Logunov A. A., Tavkhelidze A. N., Nuovo Cim., 29:2 (1963), 380–399 | DOI | MR

[5] Dulyan L. S., Faustov R. N., TMF, 22:3 (1975), 314–322

[6] Khelashvili A. A., Kvazipotentsialnoe uravnenie dlya sistemy dvukh chastits so spinom $1/2$, Preprint R2-4327, OIYaI, Dubna, 1969

[7] Faustov R. N., EChAYa, 3:1 (1972), 238–268

[8] Shabaev V. M., Vestn. LGU, 1984, no. 4, 15–19

[9] Akhiezer A. I., Berestetskii V. B., Kvantovaya elektrodinamika, Nauka, M., 1969, 623 pp. | MR

[10] Bete G., Solpiter E., Kvantovaya mekhanika atomov s odnim i dvumya elektronami, Fizmatgiz, M., 1960, 562 pp.

[11] Breit G., Phys. Rev., 35:12 (1930), 1447–1451 | DOI | Zbl

[12] Grotch H., Yennie D. R., Rev. Mod. Phys., 41:2 (1969), 350–374 | DOI