Hollowness effect and entropy in high energy elastic scattering

Abstract

This paper presents a qualitative explanation for the hollowness effect based on the inelastic overlap function, claiming this result is a consequence of fundamental thermodynamic processes. Using the Tsallis entropy, one identifies the entropic index $w$ with the ratio of the collision energy to critical one in the total cross-section. The integrated probability density function is replaced by the inelastic overlap function, which represents the probability of occurrence of an inelastic event depending on both the collision energy and impact parameter. The Coulomb potential, as well as the confinement potential, are used as naive approaches to describe the (internal) energy of the colliding hadrons. The Coulomb potential in the impact parameter picture is not able to furnish any reliable physical result near the forward direction. However, the confinement potential in the impact parameter space results in the hollowness effect shown by the inelastic overlap function near the forward direction.

25 pages, 12 figures, 2 tables

References in corpus (21)

• The five-loop beta function of Yang-Mills theory with fermions
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Measurement of the inclusive 3-jet production differential cross section in proton-proton collisions at 7 TeV and determination of the strong coupling constant in the TeV range
• Relating multihadron production in hadronic and nuclear collisions
• Effective confining potentials for QCD
• Elastic differential cross-section measurement at $\sqrt{s}=13$ TeV by TOTEM
• Constraints on parton distribution functions and extraction of the strong coupling constant from the inclusive jet cross section in pp collisions at sqrt(s) = 7 TeV
• $T$-matrix Approach to Quark-Gluon Plasma
• Bohm's Quantum Potential as an Internal Energy
• Impact analysis of TOTEM data at the LHC: black disk limit exceeded
• The Froissart bound for inelastic cross-sections
• Hollowness in $pp$ and $p\bar{p}$ scattering in a Regge model
• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• Realistic in-medium heavy-quark potential from high statistics lattice QCD simulations
• Probing the in-Medium QCD Force by Open Heavy-Flavor Observables
• An upper bound on the total inelastic cross-section as a function of the total cross-section
• Proton structure and hollowness from Lévy imaging of $pp$ elastic scattering
• Froissart Bound on Inelastic Cross Section Without Unknown Constants
• Pomeron fan diagrams in perturbative QCD
• The energy dependence of the ratio of elastic to total cross section in $pp$ and $\bar{p}p$ collisions
• Proton Internal Pressure in $pp$ and $\bar{p}p$ Elastic Scattering

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• On Negative Mass, Partition Function and Entropy
• Gauge fields renormalization groups and thermofractals