The structure of pentaquarks $P_c^+$ in the chiral quark model

TL;DR

This study uses a chiral quark model to analyze pentaquark structures, finding negative parity states as bound states and suggesting specific molecular configurations for observed pentaquarks.

Contribution

It provides a dynamical calculation of pentaquark states with various quantum numbers within the chiral quark model, identifying bound states and their molecular nature.

Findings

Negative parity states are bound, positive parity are scattering states.

P_c(4380) is likely a $$ bound state of $$ and D.

Other bound states around 4.3 GeV and 4.5 GeV are predicted.

Abstract

The recent experimental results of LHCb collaboration suggested the existence of pentaquark states with charmonium. To understand the structure of the states, a dynamical calculation of 5-quark systems with quantum numbers $IJ^P=\frac{1}{2}(\frac{1}{2})^\pm$, $\frac{1}{2}(\frac{3}{2})^\pm$ and $\frac{1}{2}(\frac{5}{2})^\pm$ is performed in the framework of chiral quark model with the help of gaussian expansion method. The results show that the negative parity states can be bound states while all of the positive parity states are the scattering states. The $P_c(4380)$ state is suggested to be the bound state of $\Sigma^*_cD$. Although the energy of $\Sigma_cD^*$ is very close to the mass of $P_c(4450)$, the inconsistent parity prevents the assignment. The calculated distances between quarks confirm the molecular nature of the states. Other five-quark bound states of the combination of $\Sigma_cD$ and $\Sigma^*_cD^*$ are also found in the region about 4.3GeV and 4.5GeV.