New theorem on the asymptotic equality of differential cross sections
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 424-427 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Asymptotic equality for the differential cross sections of crossed-channel reactions is proved for the case when the imaginary part of at least one of the amplitudes – the symmetric or antisymmetric – does not have more than a finite number of zeros on the real axis.
@article{TMF_1981_48_3_a13,
     author = {S. Yu. Medvedev},
     title = {New theorem on the asymptotic equality of differential cross sections},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {424--427},
     year = {1981},
     volume = {48},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a13/}
}
TY  - JOUR
AU  - S. Yu. Medvedev
TI  - New theorem on the asymptotic equality of differential cross sections
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 424
EP  - 427
VL  - 48
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a13/
LA  - ru
ID  - TMF_1981_48_3_a13
ER  - 
%0 Journal Article
%A S. Yu. Medvedev
%T New theorem on the asymptotic equality of differential cross sections
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 424-427
%V 48
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a13/
%G ru
%F TMF_1981_48_3_a13
S. Yu. Medvedev. New theorem on the asymptotic equality of differential cross sections. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 424-427. http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a13/

[1] Logunov A. A., Nguen Van Kheu, Todorov I. T., Khrustalev O. A., “Asimptoticheskie sootnosheniya mezhdu secheniyami v lokalnoi teorii polya”, ZhETF, 46:3 (1964), 1079–1089 | MR

[2] Meiman N. N., “Ob asimptoticheskom ravenstve differentsialnykh sechenii chastits i antichastits”, ZhETF, 46:3 (1964), 1039–1047 | MR

[3] Medvedev S. Yu., Lomsadze Yu. M., “A new proof of asymptotic equality of differential cross sections”, Nucl. Phys., B46:1 (1972), 283–294 | DOI

[4] Lomsadze Yu. M., Medvedev S. Yu., Asimptoticheskie ravenstva i sootnosheniya s opredelennymi konstantami dlya differentsialnykh i polnykh sechenii, Preprint ITF-72-172R, ITF, Kiev, 1973 | MR

[5] Martin A., Cornille H., “Asymptotic equality of cross sections for line-reversed reactions”, Nucl. Phys., B48:1 (1972), 104–116

[6] Meiman N. N., “Asimptoticheskie sootnosheniya mezhdu polnymi i differentsialnymi secheniyami v perekrestnykh kanalakh”, ZhETF, 68:3 (1975), 791–805 | MR

[7] Medvedev S. Yu., “Asimptoticheskoe ravenstvo differentsialnykh sechenii v forme raznosti”, TMF, 23:1 (1975), 140–143 | MR

[8] Meiman N. N., “Ob asimptoticheskom ravenstve polnykh sechenii chastitsy i antichastitsy”, ZhETF, 43:6 (12) (1962), 2277–2280 | MR

[9] Jin J., Martin A., “Connection between the asymptotic behavior and the sign of the discontinuity in one-dimensional dispersion relations”, Phys. Rev., 135:6B (1964), 1369–1374 | DOI | MR