Optical theorem,crossing property,and derivative dispersion relations:implications on the asymptotic behavior of σ_(tot)(s) and ρ(s)

作     者：S.D.Campos V.A.Okorokov S.D.Campos;V.A.Okorokov

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) collisions.Hence,we consider three of the main theoretical results in high energy physics:the crossing property,derivative dispersion relation,and optical theorem.The 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 them.The 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 region.Additionally,the qualitative description is obtained for important interrelations,namely difference,sum,and ratio of the antiparticle-particle and particle-particle total cross sections.Despite 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 TeV.Moreover,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.