Abstract

In the framework of quark delocalization color screening model, both the hidden-charm and hidden-bottom pentaquark resonances are studied in the hadron-hadron scattering process. A few narrow pentaquark resonances with hidden-charm above $4.2$ GeV, and some narrow pentaquark resonances with hidden-bottom above $11$ GeV are found from corresponding scattering processes. Besides, the states $N\eta_{c}$, $NJ/\psi$, $N\eta_{b}$ and $N\Upsilon$ with $IJ^{P}=\frac{1}{2}\frac{1}{2}^{-}$, as well as $NJ/\psi$ and $N\Upsilon$ with $IJ^{P}=\frac{1}{2}\frac{3}{2}^{-}$ are all possible to be bound by channel-coupling calculation. All these heavy pentaquarks are worth searching in the future experiments.

Highlights

  • In 2003 the LEPS Collaboration announced the observation of the pentaquark Θþ [1], which inspired a lot of theoretical work and experimental searches for pentaquarks

  • The LEPS Collaboration still insists on the existence of the pentaquark Θþ [2], and relevant experiment are in progress [3]

  • In 2015, the claim of two hidden-charm pentaquark states Pcð4380Þ and Pcð4450Þ by the LHCb Collaboration [13] renewed the interest in pentaquarks and triggered further theoretical work on these two states

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Summary

INTRODUCTION

In 2003 the LEPS Collaboration announced the observation of the pentaquark Θþ [1], which inspired a lot of theoretical work and experimental searches for pentaquarks. Reference [39] studied both D Λc − D Σc and BΛb − BΣb interactions by using a unitary coupled-channel model, and several resonant and bound states with different spins and parities were dynamically generated in the mass range of the recently observed pentaquarks. Extending this work to the pentaquark system, we investigated the Nφ state in the scattering channels Nη0, ΛK, and ΣK [42] Both the resonance mass and decay width were obtained, which provided the necessary information for experimental searches at Jefferson Lab. it is interesting to extend such a study to the molecular pentaquarks with heavy quarks. The delocalization parameter is determined by the dynamics of the interacting multiquark system, and allows the system to choose the most favorable configuration through its own dynamics in a larger Hilbert space This model was recently used to study the hidden-charm pentaquarks [18].

QUARK MODEL AND THE CALCULATION METHOD
Quark delocalization color screening model
H V G ðrij Þ V χ ðrij Þ
The calculation method
RESULTS AND DISCUSSIONS
SUMMARY
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