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A statistical method to estimate low-energy hadronic cross sections

2017/11/30 by Gábor Balassa, Péter Kovács, G. Wolf +1
Physics and Astronomy · #Annihilation #Antiproton #Energy (signal processing) #Hadron #High-Energy Particle Collisions Research #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Phase space #Physics #Proton #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Simple (philosophy) #Statistical physics #hep-ph #nucl-th

paper · pdf · doi:10.1140/epja/i2018-12459-8

12 pages, 12 figures, submitted to EPJA

arxiv created 2018/01/13 · openalex publication_date 2018/02/01 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this article we propose a model based on the Statistical Bootstrap approach to estimate the cross sections of different hadronic reactions up to a few GeV in c.m.s energy. The method is based on the idea, when two particles collide a so called fireball is formed, which after a short time period decays statistically into a specific final state. To calculate the probabilities we use a phase space description extended with quark combinatorial factors and the possibility of more than one fireball formation. In a few simple cases the probability of a specific final state can be calculated analytically, where we show that the model is able to reproduce the ratios of the considered cross sections. We also show that the model is able to describe proton - antiproton annihilation at rest. In the latter case we used a numerical method to calculate the more complicated final state probabilities. Additionally, we examined the formation of strange and charmed mesons as well, where we used existing data to fit the relevant model parameters.

Citations