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Investigation of Mass and Regge Trajectories of Heavy Pentaquarks

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The higher state masses of the heavy pentaquarks ????c0,Nc0,Ξc0${\theta _{c}^{0}}, {N_{c}^{0}}, {{\Xi }_{c}^{0}}$ and ????b+,Nb+,Ξb+$\theta _{b}^{+}, N_{b}^{+}, {\Xi }_{b}^{+}$ have been investigated in diquark-diquark-antiquark configuration where the lightquarks combine to… Click to show full abstract

The higher state masses of the heavy pentaquarks ????c0,Nc0,Ξc0${\theta _{c}^{0}}, {N_{c}^{0}}, {{\Xi }_{c}^{0}}$ and ????b+,Nb+,Ξb+$\theta _{b}^{+}, N_{b}^{+}, {\Xi }_{b}^{+}$ 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 (????c0,Nc0${\theta _{c}^{0}}, {N_{c}^{0}}$ and Ξc0$ {{\Xi }_{c}^{0}}$) and bottom (????b+,Nb+$\theta _{b}^{+}, N_{b}^{+}$ and Ξb+$ {\Xi }_{b}^{+}$) families are found to deviate from linearity condition with αaverage≠1.1 GeV2, the universal accepted value. The string tension (σ) have also been studied. The ground state masses of the pentaquarks have been extracted from (M2,L) RT plot. Results are found to be in good agreement with results available in literature.

Keywords: heavy pentaquarks; theta; mass; regge trajectories; diquark

Journal Title: International Journal of Theoretical Physics
Year Published: 2017

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