# Investigate the pentaquark resonance in the $NK$ system

## TL;DR

This paper investigates pentaquark resonances in the $NK$ system using a quark model, identifying potential bound states and proposing a new resonance around 2110 MeV with specific decay modes.

## Contribution

It provides a dynamical calculation of pentaquark systems with $uuddar{s}$ quark content, revealing possible bound states and proposing a new resonance in the $NK^*$ system.

## Key findings

- $NK^{*}$ with $I=0, J^{P}=1/2^{-}$ is bound but becomes a scattering state when coupled.
- $ riangle K^{*}$ with $I=1, J^{P}=1/2^{-}$ is bound but turns into a scattering state with open channels.
- A resonance state $ riangle K^{*}$ with $I=1, J^{P}=5/2^{-}$ around 2110.5 MeV is proposed.

## Abstract

A dynamical calculation of pentaquark systems with quark contents $uudd\bar{s}$ is performed in the framework of quark delocalization color screening model with the help of resonating group method. The effective potentials between baryon and meson clusters are given, and the possible bound states or resonances are investigated. The single calculations show that the $NK^{*}$ with $I=0, J^{P}=\frac{1}{2}^{-}$, $\Delta K^{*}$ with $I=1, J^{P}=\frac{1}{2}^{-}$, and $\Delta K^{*}$ with $I=2, J^{P}=\frac{3}{2}^{-}$ are all bound, but they all turns into scattering states by coupling with the corresponding open channels. A possible resonance state $\Delta K^{*}$ with $I=1, J^{P}=\frac{5}{2}^{-}$ is proposed. The mass is around $2110.5$ MeV, and the decay modes are $NK$ in $D$-wave or $NK\pi\pi$ in $P$-waves.