Hidden charm ${\cal P}_{cs}(4338)^0$ production in baryonic $B^-\to J/\psi \Lambda\bar p$ decay

TL;DR

This paper explores the production of the hidden charm pentaquark candidate ${ m P}_{cs}(4338)^0$ in baryonic $B^-$ decay, proposing a rescattering mechanism that explains the observed decay rate.

Contribution

It introduces a rescattering model involving triangle diagrams to explain ${ m P}_{cs}(4338)^0$ production in $B^-$ decay, aligning theoretical predictions with experimental data.

Findings

Rescattering mechanism accounts for ${ m P}_{cs}(4338)^0$ production.

Calculated branching ratio matches experimental measurements.

Identifies ${ m P}_{cs}(4338)^0$ as a $ ext{Xi}_car{D}$ molecule.

Abstract

We investigate the resonant baryonic $B$ decay $B^-\to {\cal P}_{cs}^0\bar p,{\cal P}_{cs}^0\to J/\psi \Lambda$, where ${\cal P}_{cs}^0\equiv {\cal P}_{cs}(4338)^0$ is identified as a hidden charm pentaquark candidate with strangeness. By interpreting ${\cal P}_{cs}^0$ as the $\Xi_c\bar D$ molecule that strongly decays into $J/\psi\Lambda$ and $\eta_c\Lambda$, we discover a dominant triangle rescattering effect for $B^-\to {\cal P}_{cs}^0\bar p$, initiated by $B^-\to J/\psi K^-$. Through the exchange of a $\bar \Lambda$ anti-baryon, $J/\psi$ and $K^-$ undergo rescattering, transforming into ${\cal P}_{cs}^0$ and $\bar p$, respectively. Based on this rescattering mechanism, we calculate ${\cal B}(B^-\to {\cal P}_{cs}^0\bar p,{\cal P}_{cs}^0\to J/\psi \Lambda) =(1.4^{+2.1}_{-1.1})\times10^{-6}$, which is consistent with the measured data.