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 theor...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 andρ-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 obtainα_(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.展开更多
This work presents the subtraction procedure and the Regge cut in the logarithmic Regge pole approach.The subtraction mechanism leads to the same asymptotic behavior as previously obtained in the non-subtraction case....This work presents the subtraction procedure and the Regge cut in the logarithmic Regge pole approach.The subtraction mechanism leads to the same asymptotic behavior as previously obtained in the non-subtraction case.The Regge cut,in contrast,introduces a clear role to the non-leading contributions for the asymptotic behavior of the total cross-section.From these results,some simple parameterization is introduced to fit the experimental data for the proton-proton and antiproton-proton total cross-section above some minimum value up to the cosmic-ray.The fit parameters obtained are used to present predictions for the ρ(s)-parameter as well as to the elastic slope B(s)at high energies.展开更多
基金UFSCar for the financial supportsupported partly by NRNU MEPhI Program"Priority 2030"。
文摘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 andρ-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 obtainα_(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.
文摘This work presents the subtraction procedure and the Regge cut in the logarithmic Regge pole approach.The subtraction mechanism leads to the same asymptotic behavior as previously obtained in the non-subtraction case.The Regge cut,in contrast,introduces a clear role to the non-leading contributions for the asymptotic behavior of the total cross-section.From these results,some simple parameterization is introduced to fit the experimental data for the proton-proton and antiproton-proton total cross-section above some minimum value up to the cosmic-ray.The fit parameters obtained are used to present predictions for the ρ(s)-parameter as well as to the elastic slope B(s)at high energies.
