# Study of Hidden-Charm and Hidden-Bottom Pentaquark Resonances in the Quark Model

^{1}

^{2}

^{3}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Quark Model and Wave Functions

#### 2.1. The Quark Delocalization Color Screening Model

#### 2.2. Wave Functions

## 3. The Results and Discussions

^{2}, which can reproduce a two-peak structure at about 4450 MeV, such as the one shown in the experimental $J/\psi p$ invariant mass distribution. Compared with the experimental data, it is more likely that ${P}_{c}\left(4440\right)$ corresponds to the molecular pentaquark ${\Sigma}_{c}{D}^{*}$ of ${J}^{P}={\frac{3}{2}}^{-}$, and ${P}_{c}\left(4457\right)$ can be explained as the molecular pentaquark ${\Sigma}_{c}{D}^{*}$ of ${J}^{P}={\frac{1}{2}}^{-}$.

## 4. Summary

## Author Contributions

## Funding

## Data Availability Statement

## Conflicts of Interest

## Appendix A. Resonating Group Method for Bound-State and Scattering Problems

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**Figure 1.**The cross-section of the $J/\psi p$ channel with ${J}^{P}={\frac{1}{2}}^{-}$ and ${J}^{P}={\frac{3}{2}}^{-}$, respectively.

**Figure 2.**The cross-section of the ${\rm Y}p$ channel with ${J}^{P}={\frac{1}{2}}^{-}$ and ${J}^{P}={\frac{3}{2}}^{-}$, respectively.

${\mathit{J}}^{\mathit{P}}$ | Channels | ||||
---|---|---|---|---|---|

hidden charm | ${\frac{1}{2}}^{-}$ | $J/\psi p$ | ${\Sigma}_{c}D$ | ${\Sigma}_{c}{D}^{*}$ | ${\Sigma}_{c}^{*}{D}^{*}$ |

${\frac{3}{2}}^{-}$ | $J/\psi p$ | ${\Sigma}_{c}{D}^{*}$ | ${\Sigma}_{c}^{*}D$ | ${\Sigma}_{c}^{*}{D}^{*}$ | |

hidden bottom | ${\frac{1}{2}}^{-}$ | ${\rm Y}p$ | ${\Sigma}_{b}B$ | ${\Sigma}_{b}{B}^{*}$ | ${\Sigma}_{b}^{*}{B}^{*}$ |

${\frac{3}{2}}^{-}$ | ${\rm Y}p$ | ${\Sigma}_{b}{B}^{*}$ | ${\Sigma}_{b}^{*}B$ | ${\Sigma}_{b}^{*}{B}^{*}$ |

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**MDPI and ACS Style**

Zhu, X.; Wu, Y.; Huang, H.; Ping, J.; Yang, Y.
Study of Hidden-Charm and Hidden-Bottom Pentaquark Resonances in the Quark Model. *Universe* **2023**, *9*, 265.
https://doi.org/10.3390/universe9060265

**AMA Style**

Zhu X, Wu Y, Huang H, Ping J, Yang Y.
Study of Hidden-Charm and Hidden-Bottom Pentaquark Resonances in the Quark Model. *Universe*. 2023; 9(6):265.
https://doi.org/10.3390/universe9060265

**Chicago/Turabian Style**

Zhu, Xinmei, Yuheng Wu, Hongxia Huang, Jialun Ping, and Youchang Yang.
2023. "Study of Hidden-Charm and Hidden-Bottom Pentaquark Resonances in the Quark Model" *Universe* 9, no. 6: 265.
https://doi.org/10.3390/universe9060265