Abstract

The LHCb Collaboration has recently reported strong evidences of the existence of pentaquark states in the hidden-charm baryon sector, the so-called $P_c(4380)^+$ and $P_c(4450)^+$ signals. Five-quark bound states in the hidden-charm sector were explored by us using, for the quark-quark interaction, a chiral quark model which successfully explains meson and baryon phenomenology, from the light to the heavy quark sector. We extend herein such study but to the hidden-bottom pentaquark sector, analyzing possible bound-states with spin-parity quantum numbers $J^P=\frac12^\pm$, $\frac32^\pm$ and $\frac52^\pm$, and in the $\frac12$ and $\frac32$ isospin sectors. We do not find positive parity hidden-bottom pentaquark states; however, several candidates with negative parity are found with dominant baryon-meson structures $\Sigma_b^{(\ast)}\bar{B}^{(\ast)}$. The calculated distances among any pair of quarks within the bound-state reflect that molecular-type bound-states are favored when only color-singlet configurations are considered in the coupled-channels calculation whereas compact pentaquarks, which are also deeply bound, can be found when hidden-color configurations are added. Finally, our findings resemble the ones found in the hidden-charm sector but, as expected, we find in the hidden-bottom sector larger binding energies and bigger contributions of the hidden-color configurations.

Highlights

  • After decades of experimental and theoretical studies of hadrons, the conventional picture of mesons and baryons as, respectively, quark-antiquark and 3-quark bound states is being left behind

  • Their inner structures have been analyzed with the computation of the distance among any pair of quarks within the bound-state. This exercise reflects that molecular-type bound-states are favored when only color-singlet configurations are considered in the coupled-channels calculation whereas some deeply-bound compact pentaquarks can be found when hidden-color configurations are added

  • Our findings resemble the ones found in the hidden-charm sector but, as expected, we find in the hidden-bottom sector larger binding energies and bigger contributions of the hidden-color configurations

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Summary

INTRODUCTION

After decades of experimental and theoretical studies of hadrons, the conventional picture of mesons and baryons as, respectively, quark-antiquark and 3-quark bound states is being left behind. A quark model study of the baryo-quarkonium picture for hidden-charm and -bottom pentaquarks was recently released in Ref. Within a chiral quark model formalism, the possibility of having pentaquark bound-states in the hidden-bottom sector with quantum. Their inner structures are obtained by computing the distance among any pair of quarks within the bound-state. The five-body bound state problem is solved by means of the Gaußian expansion method (GEM) [43] which provides enough accuracy and simplifies the subsequent evaluation of the matrix elements As it is well know, the quark model parameters are crucial in order to describe particular physical observables.

THEORETICAL FRAMEWORK
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