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
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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 $a2/3$) inelasticity of the scattering.
@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},
publisher = {mathdoc},
volume = {35},
number = {3},
year = {1978},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a9/ %G ru %F TMF_1978_35_3_a9
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/