$ND$ and $NB$ systems in quark delocalization color screening model

TL;DR

This study investigates $ND$ and $NB$ systems using the quark delocalization color screening model, predicting bound states and resonances that could explain observed particles like $ ext{Σ}(2800)$ and $ ext{Λ}_c(2940)^+$.

Contribution

It is the first to analyze $ND$ and $NB$ systems within the QDCSM, predicting molecular states and resonances relevant to experimental observations.

Findings

Bound $ND$ state with $I=0, J^P=1/2^-$ explains $ ext{Σ}(2800)$.

Predicted $ND^*$ state with $I=0, J^P=3/2^-$ close to $ ext{Λ}_c(2940)^+$.

Possible resonance in $ ext{Δ}D^*$ with $I=1, J^P=5/2^-$.

Abstract

The $ND$ and $NB$ systems with $I=0$ and $1$, $J^{P}=\frac{1}{2}^{\pm}$, $\frac{3}{2}^{\pm}$, and $\frac{5}{2}^{\pm}$ are investigated within the framework of quark delocalization color screening model. The results show that all the positive parity states are unbound. By coupling to the $ND^{*}$ channel, the state $ND$ with $I=0,~J^{P}=\frac{1}{2}^{-}$ can form a bound state, which can be invoked to explain the observed $\Sigma(2800)$ state. The mass of the $ND^{*}$ with $I=0,~J^{P}=\frac{3}{2}^{-}$ is close to that of the reported $\Lambda_{c}(2940)^{+}$, which indicates that $\Lambda_{c}(2940)^{+}$ can be explained as a $ND^{*}$ molecular state in QDCSM. Besides, the $\Delta D^{*}$ with $I=1,~J^{P}=\frac{5}{2}^{-}$ is also a possible resonance state. The results of the bottom case of $NB$ system are similar to those of the $ND$ system. Searching for these states will be a challenging subject of experiments.