Energy Calculation of Pentaquarks Using Thomas Fermi Quark Model: A Theoretical Study

The possible existence of a family of $uudc\overline{c}$ pentaquark system was explored through the application of Thomas Fermi Quark Model on the system. Considering a pocket of pentaquark contains $5$ quarks, the density functions, and energies of $10$ different pockets of pentaquarks were studied. Out of these $10$ different pockets, a single pocket of pentaquark was found to be more stable as its total energy was lowest compared to others. The kinetic, potential, and volume energies of all pockets of pentaquarks were calculated and the nature of the plots was investigated. The plots displayed an increasing trend for all energies except for kinetic energy, which exhibited a decreasing pattern.