Elastic scattering of protons from sqrt{s}=23.5 GeV to 7 TeV from a generalized Bialas-Bzdak model

Abstract

The Bialas-Bzdak model of elastic proton-proton scattering is generalized to the case when the real part of the parton-parton level forward scattering amplitude is non-vanishing. Such a generalization enables the model to describe well the dip region of the differential cross-section of elastic scattering at the ISR energies, and improves significantly the ability of the model to describe also the recent TOTEM data at sqrt{s} = 7 TeV LHC energy. Within this framework, both the increase of the total cross-section, as well as the decrease of the location of the dip with increasing colliding energies, is related to the increase of the quark-diquark distance and to the increase of the "fragility" of the protons with increasing energies. In addition, we present and test the validity of two new phenomenological relations: one of them relates the total p+p cross-section to an effective, model-independent proton radius, while the other relates the position of the dip in the differential elastic cross-section to the measured value of the total cross-section.

36 pages, 23 figures

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Cited by in corpus (13)

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• Unexpected properties of interactions of high energy protons
• Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study
• Critical behavior of cross sections at LHC
• Hadronic total cross sections at high energy and the QCD spectrum
• Wounded quark emission function at the top RHIC energy
• Model-independent femtoscopic Levy imaging for elastic proton-proton scattering
• Elastic proton-proton scattering from ISR to LHC energies, focusing on the dip region
• Wounded nucleon, quark and quark-diquark emission functions versus experimental results from RHIC
• The ReBB model and its $H(x)$ scaling version at 8 TeV: Odderon exchange is a certainty