Investigation of Mass and Regge Trajectories of Heavy Pentaquarks

Abstract

The higher state masses of the heavy pentaquarks ${\theta _{c}^{0}}, {N_{c}^{0}}, {{\Xi }_{c}^{0}}$ and $\theta _{b}^{+}, N_{b}^{+}, {\Xi }_{b}^{+}$ have been investigated in diquark-diquark-antiquark configuration where the lightquarks combine to form a diquark and the heavy quark (either charm or bottom) is the antiquark. Composite fermion model of quasi particle has been employed to describe the diquark. The states are investigated in the mass loaded flux tube model where two light diquarks are supposed to be linked by a flux tube to the heavy quark. The Regge trajectories (RTs) for heavy pentaquarks have also been analyzed. The Regge slope (α) of charm (${\theta _{c}^{0}}, {N_{c}^{0}}$ and ${{\Xi }_{c}^{0}}$) and bottom ($\theta _{b}^{+}, N_{b}^{+}$ and ${\Xi }_{b}^{+}$) families are found to deviate from linearity condition with α _{a v e r a g e} ≠1.1 G e V ², the universal accepted value. The string tension (σ) have also been studied. The ground state masses of the pentaquarks have been extracted from (M ²,L) RT plot. Results are found to be in good agreement with results available in literature.