Structure of the $\Xi_b(6227)^-$ Resonance

TL;DR

This paper investigates the quantum numbers of the $ ext{Xi}_b(6227)^-$ resonance by calculating its mass and decay properties, concluding it is a $1P$ excited state with $J^P=3/2^-$, using QCD sum rules.

Contribution

The study combines mass and decay width calculations via QCD sum rules to determine the quantum numbers of the $ ext{Xi}_b(6227)^-$ resonance, providing a detailed analysis of its structure.

Findings

The mass calculations are consistent with the observed resonance.

Decay width analysis indicates the state is a $1P$, $J^P=3/2^-$ excitation.

The resonance is identified as an angular-orbital excited state of $ ext{Xi}_b(5955)^-$.

Abstract

We explore the recently observed $\Xi_b(6227)^{-}$ resonance to fix its quantum numbers. To this end, we consider various possible scenarios: It can be considered as either 1P/2S excitations of the $\Xi_b^-$ and $\Xi_b'(5935)^{-}$ ground state baryons with spin-$\frac{1}{2}$ or 1P/2S excitations of the ground state $\Xi_b(5955)^{-}$ with spin-$\frac{3}{2}$. We calculate the masses of the possible angular-orbital $1P$ and $2S$ excited states corresponding to each channel employing the QCD sum rule technique. It is seen that all the obtained masses are in agreement with the experimentally observed value, implying that the mass calculations are not enough to distinguish the quantum numbers of the state under question. Therefore, we extend the analysis to investigate the possible decays of the same excited states into $\Lambda_b^0 K^-$ and $\Xi_b^-\pi$. Using the light cone QCD sum rule method, we calculate the corresponding strong coupling constants, which are used to extract the decay widths of the modes under consideration. Our results on decay widths indicate that the $\Xi_b(6227)^{-}$ is $1P$ angular-orbital excited state of the $\Xi_b(5955)^{-}$ baryon with quantum numbers $J^P=\frac{3}{2}^{-}$.