Geodesic
Equations for on-shell partial-wave amplitudes in the boundary condition model
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 97-104 
A. N. Safronov. Equations for on-shell partial-wave amplitudes in the boundary condition model. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a6/
@article{TMF_1985_62_1_a6,
     author = {A. N. Safronov},
     title = {Equations for on-shell partial-wave amplitudes in the boundary condition model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {97--104},
     year = {1985},
     volume = {62},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a6/}
}
TY  - JOUR
AU  - A. N. Safronov
TI  - Equations for on-shell partial-wave amplitudes in the boundary condition model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 97
EP  - 104
VL  - 62
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a6/
LA  - ru
ID  - TMF_1985_62_1_a6
ER  - 
%0 Journal Article
%A A. N. Safronov
%T Equations for on-shell partial-wave amplitudes in the boundary condition model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 97-104
%V 62
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a6/
%G ru
%F TMF_1985_62_1_a6

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

In the framework of a potential model a representation is established for the on-shell partial-wave scattering amplitude, this representation making it possible to formulate a system of equations for calculating the phase shifts and, using the fairly general requirements of $S$-matrix theory, generalize the method to the relativistic case. The representation can be applied to the problem of taking into account meson and quarkgluon degrees of freedom in hadron-hadron scattering. The connection between the method and the Jaffe–Low $P$-matrix formalism is established, and this makes it possible to relate the parameters that arise in the solution of the dispersion relations for the partial-wave amplitudes to quantities that can be calculated in the quark bag model. The proposed approach can also be regarded as an alternative to the Feshbach–Lomon boundary condition method.

[1] Braun D. E., Dzhekson A. D., Nuklon-nuklonnye vzaimodeistviya, Atomizdat, M., 1979, 351 pp.

[2] Chodos A. et al., Phys. Rev., D9 (1974), 3471–3495 | MR

[3] Bogoliubov P. N., Ann. Inst. Henri Poincare, 8 (1967), 163; Боголюбов П. Н., Дорохов А. Е., ЯФ, 36:4 (10) (1982), 957–964

[4] De Grand et al., Phys. Rev., D12 (1975), 2060–2076

[5] Jaffe R. L., Low F. E., Phys. Rev., D19:7 (1979), 2105–2118

[6] Roiesnel C., Phys. Rev., D20:7 (1979), 1646–1655

[7] Simonov Yu. A., Phys. Lett., 107B:1 (1981), 1–4 ; Симонов Ю. А., ЯФ, 36:3 (1982), 722–731 | DOI

[8] Safronov A. N., Nuklon-nuklonnye i pion-nuklonnye vzaimodeistviya pri promezhutochnykh energiyakh, Trudy simpoziuma (Gatchina, aprel 1982 g.), Leningr. in-t yadernoi fiziki AN SSSR, L., 1982, 259–265

[9] Safronov A. N., Phys. Lett., 124B (1983), 149–153 | DOI

[10] Castillejo L., Dalitz R. H., Dyson F. J., Phys. Rev., 101:1 (1956), 453–458 | DOI | Zbl

[11] De Alfaro V., Redzhe T., Potentsialnoe rasseyanie, Mir, M., 1966, 274 pp. | Zbl

[12] Goldberger M., Vatson K., Teoriya stolknovenii, Mir, M., 1967, 823 pp.

[13] Lovelace C., Phys. Rev., 135 (1964), 1225–1249 | DOI | MR

[14] Martin A., Nuovo Cim., 38:3 (1965), 1326–1341 | DOI | MR

[15] Feshbach H., Lomon E. L., Ann. Phys., 29:1 (1964), 19–75 ; 48:1 (1968), 94–172 | DOI | MR | DOI | MR