Optical theorem,crossing property,and derivative dispersion relations:implications on the asymptotic behavior of σ_(tot)(s) and ρ(s)
Optical theorem,crossing property,and derivative dispersion relations:implications on the asymptotic behavior of σtot(s) and ρ(s)作者机构:Applied Mathematics Laboratory-CCTS/DFQMFederal University of São CarlosSorocaba CEP 18052-780Brazil Moscow Engineering Physics InstituteNational Research Nuclear University MEPhI115409 MoscowRussia
出 版 物:《Chinese Physics C》 (中国物理C(英文版))
年 卷 期:2022年第46卷第8期
页 面:72-90页
核心收录:
学科分类:07[理学] 070202[理学-粒子物理与原子核物理] 0702[理学-物理学]
基 金:UFSCar for the financial support supported partly by NRNU MEPhI Program"Priority 2030"
主 题:optical theorem derivative dispersion relations asymptotic behavior Pomeranchuk theorem
摘 要:In this paper,we present some results on the behavior of the total cross section and p-parameter at asymptotic energies in proton-proton(pp) and antiproton-proton(pp) ***,we consider three of the main theoretical results in high energy physics:the crossing property,derivative dispersion relation,and optical *** use of such machinery facilitates the derivation of analytic formulas for a wide set of the measured global scattering parameters and some important relations between *** suggested parameterizations approximate the energy dependence for the total cross section and ρ-parameter for pp and pp with a statistically acceptable quality in the multi-TeV ***,the qualitative description is obtained for important interrelations,namely difference,sum,and ratio of the antiparticle-particle and particle-particle total cross *** the reduced number of experimental data for the total cross section and p-parameter at the TeV-scale,which complicates any prediction for the beginning of the asymptotic domain,the fitting procedures indicates that asymptotia occur in the energy range 25.5-130 ***,in the asymptotic regime,we obtain α_(P)=1.A detailed quantitative study of the energy behavior of the measured scattering parameters and their combinations in the ultra-high energy domain indicates that the scenario with the generalized formulation of the Pomeranchuk theorem is more favorable with respect to the original formulation of this theorem.