Anti-triplet charmed baryon decays with SU(3) Flavor Symmetry

TL;DR

This paper analyzes anti-triplet charmed baryon decays using SU(3) flavor symmetry, predicting branching ratios and identifying promising decay channels for experimental observation at BESIII and LHCb.

Contribution

It provides new predictions for branching ratios of various $\Xi_c$ decays based on SU(3) symmetry, aiding future experimental searches.

Findings

Predicted specific branching ratios for $\Xi_c$ decays.

Identified decay channels with branching ratios of $10^{-4}$ to $10^{-3}$.

Highlighted promising decay modes for experimental detection.

Abstract

We study the decays of the anti-triplet charmed baryon state $(\Xi_c^0,\Xi_c^+,\Lambda_c^+)$ based on the $SU(3)$ flavor symmetry. In particular, after predicting ${\cal B}(\Xi_c^0\to \Xi^-\pi^+)=(15.7 \pm 0.7)\times 10^{-3}$ and ${\cal B}(\Xi_c^+\to\Xi^-\pi^+\pi^+)=(14.7\pm 8.4)\times 10^{-3}$, we extract that ${\cal B}(\Xi_c^0\to\Lambda K^-\pi^+,\Lambda K^+K^-,\Xi^- e^+\nu_e)=(16.8\pm 2.3,0.45\pm 0.11,48.7\pm 17.4)\times 10^{-3}$ and ${\cal B}(\Xi_c^+\to p K_s^0 K_s^0,\Sigma^+ K^-\pi^+,\Xi^0\pi^+\pi^0,\Xi^0 e^+\nu_e)=(1.3\pm 0.8,13.8\pm 8.0,33.8\pm 21.9,33.8^{+21.9}_{-22.6})\times 10^{-3}$. We also find that ${\cal B}(\Xi_c^0\to \Xi^{0} \eta,\Xi^{0} \eta')=(1.7 ^{+ 1.0 }_{- 1.7 },8.6 ^{+ 11.0 }_{-\;\,6.3 })\times 10^{-3}$, ${\cal B}(\Xi_c^0\to \Lambda^{0} \eta,\Lambda^{0} \eta')=(1.6 ^{+ 1.2 }_{- 0.8 },9.4 ^{+ 11.6 }_{-\;\,6.8 })\times 10^{-4}$ and ${\cal B}(\Xi_c^+\to \Sigma^{+} \eta,\Sigma^{+} \eta')=(28.4 ^{+ 8.2 }_{- 6.9 },13.2 ^{+ 24.0 }_{- 11.9 })\times 10^{-4}$. These $\Xi_c$ decays with the branching ratios of $O(10^{-4}-10^{-3})$ are clearly promising to be observed by the BESIII and LHCb experiments.