Geodesic
Off-shell description of two-particle interactions by the boundary condition method
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 53-60 
N. M. Petrov. Off-shell description of two-particle interactions by the boundary condition method. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 53-60. http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a4/
@article{TMF_1988_75_1_a4,
     author = {N. M. Petrov},
     title = {Off-shell description of two-particle interactions by the boundary condition method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {53--60},
     year = {1988},
     volume = {75},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a4/}
}
TY  - JOUR
AU  - N. M. Petrov
TI  - Off-shell description of two-particle interactions by the boundary condition method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 53
EP  - 60
VL  - 75
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a4/
LA  - ru
ID  - TMF_1988_75_1_a4
ER  - 
%0 Journal Article
%A N. M. Petrov
%T Off-shell description of two-particle interactions by the boundary condition method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 53-60
%V 75
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a4/
%G ru
%F TMF_1988_75_1_a4

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

The boundary condition method is used to formulate an approach that makes it possible to describe the interaction of two particles off the energy shell. The off-shell wave function is expressed explicitly in terms of the half-on-shell amplitude scattering function, for which a linear differential first-order equation is obtained. The Noyes–Kowalski representation for the off-shell scattering amplitude is obtained in terms of half-on-shell quantities.

[1] Breit G., Bouricius W. G., Phys. Rev., 75 (1949), 1029–1050 | DOI | MR | Zbl

[2] Feshbach H., Lomon E. L., Phys. Rev., 102 (1956), 891–934 | DOI

[3] Feshbach H., Lomon E. L., Ann. Phys., 29 (1964), 19–75 | DOI | MR

[4] Kim Y. E., Tubis A., Phys. Rev., C1 (1970), 414–422

[5] Efimov V., YaF, 10 (1969), 107–112

[6] Efimov V. N., Shults G., EChAYa, 7:4 (1976), 875–915 | MR

[7] Petrov N. M., Pushkash A. M., Limiting Values of Trinucleon Hou-Energy Parameters in the Boundary Condition Model, Preprint ITP-86-48E, Inst. theor. phys., Kiev, 1986, P. 1–13.

[8] Lein A., Tomas R., Teoriya yadernykh reaktsii pri nizkikh energiyakh, IL, M., 1960

[9] Sitenko A. G., Teoriya yadernykh reaktsii, Energoatomizdat, M., 1983

[10] Sitenko A. G., Nechev P. N., Petrov N. M., UFZh, 24 (1979), 1729–1736

[11] Jaffe R. L., Low F. E., Phys. Rev., D19 (1979), 2105–2118

[12] Simonov Yu. A., Nucl. Phys., A416 (1984), 109–119 | DOI

[13] Veselov A. I., Grach I. L., Narodetskii I. M., YaF, 39 (1984), 719–728

[14] Petrov N. M., Fizika mnogochastichnykh sistem, no. 5, Naukova dumka, Kiev, 1984, 49–62

[15] Babikov V. V., Metod fazovykh funktsii v kvantovoi mekhanike, Nauka, M., 1976 | MR

[16] Kalodzhero F., Metod fazovykh funktsii v teorii potentsialnogo rasseyaniyam, Mir, M., 1972

[17] Sobel M. I., J. Math. Phys., 9 (1968), 2132–2137 | DOI

[18] Sitenko A. G., Teoriya rasseyaniya, Vischa shkola, Kiev, 1975

[19] Talukdar B., Phys. Lett., 80A (1980), 365–366 | DOI | MR

[20] Talukdar B., Bhattaru S. R., Phys. Rev., 30C (1984), 726–728

[21] Noyes H. P., Phys. Rev. Lett., 15 (1965), 538–540 | DOI | MR

[22] Kowalski K. L., Phys. Rev. Lett., 15 (1965), 798–800 | DOI