Determination of the Mass and the Energy Spectra of Heavy Pentaquarks in the Diquark Model

Abstract

In recent years, study of pentaquarks as the exotic states of multiquark particles have been in progress experimentally and theoretically. A motivation for studying these new particles has been to better understanding of the strong interactions and the QCD theory. In this work, our aim is to calculate the mass spectrum of possible heavy pentaquarks for which we consider a two-body system containing an antiquark and two-diquarks. Using the Cornell potential and the spin–spin interaction we, first, calculate the diquarks masses and in the following the masses and the spin-dependent energies of heavy pentaquarks in their ground states. We will compare our theoretical result for $$\hbox {P}_{\mathrm{c}} =\left\{ {\bar{{\mathrm{c}}}\left[ {\mathrm{cu}} \right] _{\mathrm{s}=1} \left[ {\mathrm{ud}} \right] _{\mathrm{s}=0},\,\,\hbox {J}^{\mathrm{p}}=3/2^{-}} \right\} $$ with the value reported by the LHCb collaboration.