Nature of charmed strange baryons $\Xi_c(3055)$ and $\Xi_c(3080)$

TL;DR

This study uses a $^3P_0$ model to analyze decay widths and branching ratios of newly observed $ ext{Xi}_c$ baryons, proposing specific quantum number assignments consistent with experimental data.

Contribution

It provides the first detailed decay analysis of $ ext{Xi}_c(3055)$ and $ ext{Xi}_c(3080)$ as D-wave states, suggesting their possible quantum numbers and decay modes.

Findings

$ ext{Xi}_c(3055)^+$ likely a $J^P=5/2^+$ or $7/2^+$ D-wave state.

Predicted decay ratios match Belle data for $ ext{Xi}_c(3055)$.

$ ext{Xi}_c(3080)^+$ unlikely to be a D-wave state.

Abstract

The hadronic decay widths and some ratios of branching fractions of the newly observed charmed strange baryons, $\Xi_c(3055)^0$, $\Xi_c(3055)^+$ and $\Xi_c(3080)^+$ are calculated in a $^3P_0$ model. In the calculation, they are considered as $34$ kinds of $D-wave$ charmed strange baryons. Among these assignments, $\Xi_c(3055)^+$ is very possibly a $J^P={5\over 2}^+$ $\hat\Xi_{c3}^\prime(\frac{5}{2}^+)$ or $\check\Xi_{c3}^2(\frac{5}{2}^+)$, where $\Xi_c(3055)^+$ has the total decay width $\Gamma=10.1$ MeV and $\Gamma=7.6$ MeV. The predicted ratios $\Gamma(\Xi_c(3055)^+ \to \Lambda D^+ )/ \Gamma(\Xi_c(3055)^+ \to \Sigma_c^{++}K^-)=3.39$. $\Xi_c(3055)^+$ is also very possibly a $J^P={7\over 2}^+$ $\hat\Xi_{c3}^\prime(\frac{7}{2}^+)$ or $\check\Xi_{c3}^2(\frac{7}{2}^+)$. In these two assignments, $\Xi_c(3055)^+$ has the total decay width $\Gamma=9.7$ MeV and $\Gamma=6.3$ MeV. The predicted ratios $\Gamma(\Xi_c(3055)^+ \to \Lambda D^+ )/ \Gamma(\Xi_c(3055)^+ \to \Sigma_c^{++}K^-)=5.91~\rm{or}~6.04$. As a isospin partner of $\Xi_c(3055)^+$, $\Xi_c(3055)^0$ is also very possibly a $J^P={5\over 2}^+$ $\hat\Xi_{c3}^\prime(\frac{5}{2}^+)$ or $\check\Xi_{c3}^2(\frac{5}{2}^+)$, where $\Xi_c(3055)^0$ has the total decay width $\Gamma=10.9$ MeV and $\Gamma=7.0$ MeV. The predicted ratios $\Gamma(\Xi_c(3055)^0 \to \Lambda D^0 )/ \Gamma(\Xi_c(3055)^0 \to \Sigma_c^{+}K^-)=4.24~\rm{or}~4.20$. $\Xi_c(3055)^0$ is also very possibly a $J^P={7\over 2}^+$ $\hat\Xi_{c3}^\prime(\frac{7}{2}^+)$ or $\check\Xi_{c3}^2(\frac{7}{2}^+)$. In these assignments, $\Xi_c(3055)^0$ has the total decay width $\Gamma=10.3$ MeV and $\Gamma=7.1$ MeV. The predicted ratios $\Gamma(\Xi_c(3055)^0 \to \Lambda D^0 )/ \Gamma(\Xi_c(3055)^0 \to \Sigma_c^{+}K^-)=7.47~\rm{or}~7.56$. The results agree well with recent experimental data from Belle. $\Xi_c(3080)^+$ seems impossible to be identified with a D-wave charmed strange baryon.