Spectroscopy of singly, doubly, and triply bottom baryons

Abstract

Recently, many singly bottom baryons have been established experimentally, but no doubly or triply bottom baryon has been observed. Under the Regge phenomenology, the mass of a ground state unobserved doubly or triply bottom baryon is expressed as a function of masses of the well established light baryons and singly bottom baryons. (For example, we write the mass of \(\Omega_{bbb}\) as a function of the masses of well established light baryons (\(\Sigma^{*}\), \(\Xi^{*}\), \(\Omega\)) and singly bottom baryons (\(\Sigma_b^{*}\), \(\Xi_b^{*}\)), and give its value to be 14788\(\pm\)80 MeV.) After that, we calculate the values of Regge slopes and Regge intercepts for singly, doubly, and triply bottom baryons. (Regge intercepts and slopes, which are usually regarded as fundamental constants of hadron dynamics, are useful for many spectral and nonspectral purposes.) Then, masses of the orbitally excited singly, doubly, and triply bottom baryons are estimated. The isospin splitting is also determined, \(M_{\Xi_{bb}^{-}}-M_{\Xi_{bb}^{0}}=2.3\pm0.7\) MeV. The predictions are reasonable comparing with those obtained in many other approaches. We suggest more efforts to research doubly and triply bottom baryons both theoretically and experimentally, not only for the addition of baryon spectra, but also for numerically distinguishing the quadratic mass relations and the linear mass relations. Our predictions would be useful for the discovery of unobserved singly, doubly, and triply bottom baryons and the \(J^P\) assignment of these states.