Mass spectra of Ξ _cc , Ξ _bc , Ω _cc , and Ω _bc baryons in Regge phenomenology

Abstract

In this article, we study the mass spectra of baryons containing two heavy quarks; charm-charm ($cc$) and bottom-charm ($bc$) with a light quark ($u,d,s$) within the framework of Regge phenomenology. With the assumption of linear Regge trajectories we have derived the relations between slope ratios, intercepts, and baryon masses. Using these relations, the ground state masses of $\Xi_{cc}$, $\Xi_{bc}$, $\Omega_{cc}$, and $\Omega_{bc}$ baryons are obtained. The values of Regge slopes and Regge intercepts are extracted for these baryons to estimate the excited state masses in both the ($J,M^{2}$) and ($n,M^{2}$) planes. Our obtained results are compared with the experimental observations where available and other theoretical predictions, which could be a valuable addition to the interpretations of experimentally unknown heavy baryon spectra

Quantum number assignments of light strange baryons in Regge phenomenology

“…In 1978, Nambu put forth the simplest hypothesis to account for the linear Regge trajectories [39,40]. The Regge theory has been successfully used in our previous work to obtain the mass spectra of light as well as heavy baryons [8,9,41,42]. We use the same phenomenology in the present work to study the triply heavy baryons.…”

“…after inserting the masses of Σ b and Σ c from PDG [54], and Ξ bc calculated in the previous work [41] for J P = 3 2 + , into Eqs. ( 8) and ( 9), we get the ground state masses of Ω ccb…”

“…by inserting the masses of Σ b from PDG [54], Ξ bc from [41], and Ω ccb (calculated above) Ours [48] [22]…”

Spectroscopy of light baryons with strangeness -1, -2, and -3

“…The trajectory of a particular pole is characterized by a set of internal quantum numbers and the hadrons lying on the particular Regge line have the same internal quantum numbers. The most general form of linear Regge trajectories can be expressed as [26][27][28][29],…”

Systematic analysis of doubly charmed baryons $Ξ_{cc}$ and $Ω_{cc}$

“…In theory, the mass spectra of the doubly heavy baryons have been predicted with various methods, such as the relativistic or nonrelativistic quark model , QCD sum rules [39][40][41][42][43][44][45][46][47], bag models [48][49][50][51], the Bethe-Salpeter equation [52][53][54][55], effective field theories [56][57][58][59], Lattice QCD [60][61][62][63][64][65][66] and the others [67][68][69][70][71]. To our knowledge, only Refs.…”