Abstract

The progresses in the experimental sector have been the harbinger of the observations of many new hadrons. Very recently, LHCb Collaboration announced the observation of two new $\Sigma_b(6097)^{\pm}$ states in the $\Lambda^0_b\pi^{\pm}$ invariant mass distribution, which are considered as the excited states of the ground state $\Sigma^{(*)}_b$ baryon. Though, almost all of the ground state baryons have been observed, having a limited number of excited states observed so far makes them intriguing. Understanding the properties of the excited baryons improve our knowledge on the strong interaction as well as the nature and internal structures of these baryons. To specify the quantum numbers of the $\Sigma_b(6097)^{\pm}$ an analysis on their strong decays to $\Lambda_b^0$ and $\pi^{\pm}$ is performed within the light cone QCD sum rule formalism. To this end, they are considered as possible $1P$ or $2S$ excitation of either the ground state $\Sigma_b$ baryon with $J=\frac{1}{2}$ or $\Sigma_b^{*}$ baryon with $J=\frac{3}{2}$. The corresponding masses are also calculated considering the same scenarios for their quantum numbers. The results of the analyses indicate that the $\Sigma_b(6097)^{\pm}$ baryons are excited $1P$ baryons having quantum numbers $J^P=\frac{3}{2}^-$.

Highlights

  • In the quark model, the heavy baryons containing one heavy and two light quarks form multiplets using the symmetries of flavor, spin, and spatial wave functions [1]

  • The LHCb Collaboration announced the observation of two new Σbð6097ÞÆ states in the Λ0bπÆ invariant mass distribution, which are considered to be the excited states of the ground-state ΣðbÃÞ baryon

  • To specify the quantum numbers of the Σbð6097ÞÆ states, we analyze their strong decays to Λ0b and πÆ within the light-cone QCD sum rules formalism

Read more

Summary

INTRODUCTION

The heavy baryons containing one heavy and two light quarks form multiplets using the symmetries of flavor, spin, and spatial wave functions [1]. The LHCb Collaboration announced the first observation of two resonances Σbð6097Þ− and Σbð6097Þþ with masses mðΣbð6097Þ−Þ 1⁄4 6098.0 Æ 1.7 Æ 0.5 and mðΣbð6097ÞþÞ1⁄46095.8Æ1.7Æ0.4 MeV [7] The widths of these states were measured as ΓðΣbð6097Þ−Þ1⁄428.9Æ. The authors concluded that this state is a P-wave baryon with the quantum numbers [9] Another prediction for the quantum numbers of the observed Σbð6097Þ− and Σbð6097Þþ states was presented in Ref. The numerical results of the strong coupling constants are used to obtain the numerical values of the decay widths of the transitions under consideration. The details of the calculations of the spectral densities are given in the Appendix

ANALYSIS OF THE ΣbΛbπ VERTEX VIA LIGHT-CONE QCD SUM RULES
CONCLUSION
M21 and σ2
M4 fπ m2bmu
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call