Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 381-385
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Yu. A. Ksaverii. Finite-energy bounds on the total cross section of strongly inelastic interaction between spinless particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 381-385. http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a9/
@article{TMF_1978_35_3_a9,
author = {Yu. A. Ksaverii},
title = {Finite-energy bounds on the total cross section of strongly inelastic interaction between spinless particles},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {381--385},
year = {1978},
volume = {35},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a9/}
}
TY - JOUR
AU - Yu. A. Ksaverii
TI - Finite-energy bounds on the total cross section of strongly inelastic interaction between spinless particles
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1978
SP - 381
EP - 385
VL - 35
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a9/
LA - ru
ID - TMF_1978_35_3_a9
ER -
%0 Journal Article
%A Yu. A. Ksaverii
%T Finite-energy bounds on the total cross section of strongly inelastic interaction between spinless particles
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 381-385
%V 35
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a9/
%G ru
%F TMF_1978_35_3_a9
An explicit analytic expression is found for the unitary maximum of the total cross section $\sigma_t$ in terms of $a\equiv\sigma_e/\sigma_t$ and $b$, where $\sigma_e$ is the elastic cross section and $b$ is the forward slope of the imaginary part of the scattering amplitude. The basic assumptions are: 1) the scattering amplitude can be expanded in Legendre polynomials, 2) unitarity, and 3) strong (in the sense $a<2/3$) inelasticity of the scattering.
