Geodesic
Connection of field matrix elements with the phases of two-channel $S$-wave scattering
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 39-46 
M. L. Kharakhan; Yu. M. Shirokov. Connection of field matrix elements with the phases of two-channel $S$-wave scattering. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 39-46. http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a3/
@article{TMF_1970_5_1_a3,
     author = {M. L. Kharakhan and Yu. M. Shirokov},
     title = {Connection of field matrix elements with the phases of two-channel $S$-wave scattering},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {39--46},
     year = {1970},
     volume = {5},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a3/}
}
TY  - JOUR
AU  - M. L. Kharakhan
AU  - Yu. M. Shirokov
TI  - Connection of field matrix elements with the phases of two-channel $S$-wave scattering
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 39
EP  - 46
VL  - 5
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a3/
LA  - ru
ID  - TMF_1970_5_1_a3
ER  - 
%0 Journal Article
%A M. L. Kharakhan
%A Yu. M. Shirokov
%T Connection of field matrix elements with the phases of two-channel $S$-wave scattering
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 39-46
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a3/
%G ru
%F TMF_1970_5_1_a3

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

An explicit expression is obtained that relates the physical $S$ matrix with the discontinuity across the kinematic cut of the matrix element $\langle 2|A(x)|0\rangle$ of a scalar field in the case of two ehanneis. The result obtained is a direct ge eralizatio of a result obtained by Troitskii and Shirokov [9] for the ease of a single channel.

[1] Yu. M. Shirokov, Nucl. Phys., 46 (1963), 617 | DOI | MR

[2] Yu. A. Brychkov, Yu. M. Shirokov, Matem. zametki, 2 (1967), 81 | MR | Zbl

[3] Yu. M. Shirokov, Doklad na soveschanii po voprosam ob analiticheskikh svoistvakh amplitud rasseyaniya, Serpukhov, 1969

[4] Yu. M. Shirokov, ZhETF, 46 (1964), 583

[5] Yu. M. Shirokov, ZhETF, 48 (1965), 222 | MR

[6] V. S. Mineev, Yu. M. Shirokov, ZhETF, 48 (1965), 719 | MR

[7] Yu. M. Shirokov, Nucl. Phys., B6 (1968), 159 | DOI | Zbl

[8] Yu. M. Shirokov, V. E. Troitski, Nucl. Phys., B10 (1969), 118 | DOI

[9] V. E. Troitskii, Yu. M. Shirokov, TMF, 1 (1969), 213

[10] M. L. Kharakhan, Yu. M. Shirokov, TMF, 3 (1970), 731