Thomas-Fermi Statistical Models of Finite Quark Matter
arXiv:0807.1075 · doi:10.1016/j.nuclphysa.2009.05.004
Abstract
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.
29 pages, 14 figures; final journal version (Nucl. Phys. A)
References in corpus (22)
- Color superconductivity in dense quark matter
- QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
- Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
- Strange Quark Matter and Compact Stars
- Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
- First Observation of the Greisen-Zatsepin-Kuzmin Suppression
- Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
- The Condensed Matter Physics of QCD
- Enforced Electrical Neutrality of the Color-Flavor Locked Phase
- The Minimal CFL-Nuclear Interface
- Physics and Astrophysics of Strange Quark Matter
- Shell model versus liquid drop model for strangelets
- Color-flavor locked strangelets
- The Stability of Strange Star Crusts and Strangelets
- Intermediate mass strangelets are positively charged
- Strangelets as Cosmic Rays beyond the Greisen-Zatsepin-Kuzmin Cutoff
- Colour-superconducting strangelets in the Nambu--Jona-Lasinio model
- Universal Charge-Radius Relation for Subatomic and Astrophysical Compact Objects
- Cosmic-ray strangelets in the Earth's atmosphere
- The Thomas-Fermi approximation for gauge theories
- Stability of color-flavor locked strangelets
- Strangelets in Cosmic Rays