# Analysis of the $\Omega_c(3000)$, $\Omega_c(3050)$, $\Omega_c(3066)$, $\Omega_c(3090)$ and $\Omega_c(3119)$ with QCD sum rules

## TL;DR

This paper uses QCD sum rules to analyze the quantum states of several Omega_c baryons, assigning their internal quark configurations and quantum numbers based on theoretical predictions.

## Contribution

It introduces a method to assign quantum numbers and internal quark arrangements to Omega_c states using explicit P-wave considerations in QCD sum rules.

## Key findings

- Supports assigning Omega_c(3050), Omega_c(3066), Omega_c(3090), Omega_c(3119) as P-wave states with specific J^P values.
- Omega_c(3000) is assigned as a P-wave state with J^P=1/2^- and S-wave between s quarks.
- Provides theoretical support for the internal structure of these baryons.

## Abstract

In this article, we assign the $\Omega_c(3000)$, $\Omega_c(3050)$, $\Omega_c(3066)$, $\Omega_c(3090)$ and $\Omega_c(3119)$ to be the P-wave baryon states with $J^P={\frac{1}{2}}^-$, ${\frac{1}{2}}^-$, ${\frac{3}{2}}^-$, ${\frac{3}{2}}^-$ and ${\frac{5}{2}}^-$, respectively, and study them with the QCD sum rules by introducing an explicit relative P-wave between the two $s$ quarks. The predictions support assigning the $\Omega_c(3050)$, $\Omega_c(3066)$, $\Omega_c(3090)$ and $\Omega_c(3119)$ to be the P-wave baryon states with $J^P={\frac{1}{2}}^-$, ${\frac{3}{2}}^-$, ${\frac{3}{2}}^-$ and ${\frac{5}{2}}^-$, respectively, where the two $s$ quarks are in relative P-wave; while the $\Omega_c(3000)$ can be assigned to the P-wave baryon state with $J^{P}={\frac{1}{2}}^-$, where the two $s$ quarks are in relative S-wave.