Identifying the $\Xi_b(6100)$ as the $P$-wave bottom baryon of $J^P=3/2^-$

TL;DR

This paper interprets the $ ext{Xi}_b(6100)$ as a P-wave bottom baryon with $J^P=3/2^-$, predicts its partner state with $J^P=1/2^-$, and relates these findings to known baryons using QCD sum rules.

Contribution

It provides a novel interpretation of $ ext{Xi}_b(6100)$ as a P-wave bottom baryon and predicts properties of its partner states within heavy quark effective theory.

Findings

$ ext{Xi}_b(6100)$ is identified as a $J^P=3/2^-$ P-wave bottom baryon.

Predicted mass of the partner $ ext{Xi}_b(1/2^-)$ is approximately 6.08 GeV.

Mass splitting between the states is about 9 MeV.

Abstract

We study the $\Xi_b(6100)$ using the methods of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory. Our results suggest that the $\Xi_b(6100)$ can be well interpreted as the $P$-wave bottom baryon of $J^P=3/2^-$, belonging to the $SU(3)$ flavor $\mathbf{\bar 3}_F$ representation. It has a partner state of $J^P=1/2^-$, labelled as $\Xi_b(1/2^-)$, whose mass and width are predicted to be $m_{\Xi_b(1/2^-)}=6.08^{+0.13}_{-0.11}$~GeV and $\Gamma_{\Xi_b(1/2^-)}=4^{+29}_{-~4}$~MeV, with the mass splitting $\Delta M=m_{\Xi_b(6100)}-m_{\Xi_b(1/2^-)}=9\pm3$~MeV. We propose to search for it in the $\Xi_c({1/2}^-)\to \Xi_b^{\prime}\pi$ decay channel. Our results also suggest that the $\Lambda_b(5912)$ and $\Lambda_b(5920)$ are their partner states with $J^P=1/2^-$ and $3/2^-$ respectively, and moreover, the $\Lambda_c(2595)$, $\Lambda_c(2625)$, $\Xi_c(2790)$, and $\Xi_c(2815)$ are their charmed partner states.