2020/08/06 by Mohan Giri, Suman Baral, Giri, Mohan +13 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Spectral Theory in Mathematical Physics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2008.02677
openalex publication_date 2020/08/06 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Using the Thomas-Fermi quark model, a collective, spherically symmetric\ndensity of states is created to represent a gas of interacting fermions with\nvarious degeneracies at zero temperature. Over a family of multi-pentaquarks,\ncolor interaction probabilities are obtained after averaging over all the\npossible configurations. It is found that three different Thomas-Fermi\nfunctions are necessary for light, charm, and anti-charm quarks. These are\nassumed to be linearly related by proportionality constants resulting in\nconsistency conditions. We analyze these conditions and find that they lead to\nan interesting pattern of spherical quark distributions.\n