A Mixing Coupling Scheme for Spectra of Singly Heavy Baryons with Spin-1 Diquarks in P-waves

TL;DR

This paper introduces a new classification scheme for heavy baryons with P-wave excitations, confirming recent experimental findings and predicting additional states and Regge trajectories using a mixing coupling approach.

Contribution

The paper proposes a novel state classification scheme and applies it to analyze heavy baryon spectra, confirming experimental states and predicting new excited states and Regge trajectories.

Findings

Confirmed LHCb's observed excited $ ext{Ω}_c$ and $ ext{Ω}_b$ baryons as P-wave diquark-quark bound states.

Predicted an unseen $ ext{Ω}_b$ state around 6352 MeV with $J^{P}=5/2^{-}$.

Provided P-wave mass predictions for spin-partners of known odd-parity baryons.

Abstract

A new scheme of state classification is proposed and applied to analyze masses of the heavy baryons $\Omega_{Q}$, $\Sigma_{Q}$ and $\Xi_{Q}^{\prime}$ in P-waves. The results confirm all excited $\Omega_{c}$ and $\Omega_{b}$ baryons reported recently by LHCb to be bound states of a P-wave $ss$-diquark and a respective charm or bottom quark, and thereby predict Regge trajectories for more excited $\Omega_{c}$ and $\Omega_{b}$ baryons. We suggest one excited {$J^{P}=5/2^{-}$} $\Omega_{b}$ state to be unseen by LHCb around $6352$ MeV, and predict P-wave masses of all spin-partners of the odd-parity baryons $\Sigma_{c}(2800)/\Xi_{c}^{\prime}(2942)$ and $\Sigma_{b}(6097)$/$\Xi_{b}^{\prime }(6227)$. A computation is further given in a relativized potential quark models to explain matched values of spin couplings of all considered baryons, by which a scaling law for these spin couplings is discussed.