Thomas-Fermi Statistical Models of Finite Quark Matter

Details Thomas-Fermi Statistical Models of Finite Quark Matter Thomas-Fermi Statistical Models of Finite Quark Matter

2008-07-07

arxiv.org/abs/0807.1075v2

Nucl.Phys.A826:49-73,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, 14 figures; final journal version (Nucl. Phys. A)

Scientific paper

10.1016/j.nuclphysa.2009.05.004

I introduce and discuss models of finite quark matter using the formalism of the Thomas-Fermi statistical model. Similar to bag models, a vacuum energy term is introduced to model long distance confinement, but the model produces bound states from the residual color Coulomb attraction even in the absence of such a term. I discuss three baryonic applications: an equal mass nonrelativistic model with and without volume pressure, the ultra-relativistic limit confined by volume pressure, and a color-flavor locking massless model. These model may be extended to multi-meson and other mixed hadronic states. Hopefully, it can help lead to a better understanding of the phenomenology of high multi-quark states in preparation for more detailed lattice QCD calculations.

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