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arXiv · 2008.02677

Investigation of Quark Distributions in a Family of Pentaquarks using the Thomas-Fermi Quark Model

Mohan Giri·Suman Baral·Gopi C. Kaphle·Nirmal Dangi·Sudip Shiwakoti·Leonardo Bardomero·Paul Lashomb·Walter Wilcox
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Abstract

Using the Thomas-Fermi quark model, a collective, spherically symmetric density of states is created to represent a gas of interacting fermions with various degeneracies at zero temperature. Over a family of multi-pentaquarks, color interaction probabilities are obtained after averaging over all the possible configurations. It is found that three different Thomas-Fermi functions are necessary for light, charm, and anti-charm quarks. These are assumed to be linearly related by proportionality constants resulting in consistency conditions. We analyze these conditions and find that they lead to an interesting pattern of spherical quark distributions.

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Mohan Giri, Suman Baral, Gopi C. Kaphle, Nirmal Dangi, Sudip Shiwakoti, Leonardo Bardomero, Paul Lashomb, Walter Wilcox. 2020-08-06. Investigation of Quark Distributions in a Family of Pentaquarks using the Thomas-Fermi Quark Model. https://arxiv.org/abs/2008.02677

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