Low-lying doubly heavy baryons: Regge relation and mass scaling

Abstract

In framework of heavy-diquark$-$light-quark endowed with heavy-pair binding, we explore excited baryons $Q{Q}^{\prime }q$ containing two heavy quarks ($Q{Q}^{\prime }=cc,bb,bc$) by combining the method of Regge trajectory with the perturbative correction due to the heavy-pair interaction in baryons. Two Regge relations, one linear and the other nonlinear, are constructed semi-classically in the QCD string picture, and a mass scaling relation based on the heavy diquark-heavy antiquark symmetry are employed between the doubly heavy baryons and heavy mesons. We employ the ground-state mass estimates compatible with the observed doubly charmed baryon ${\Xi }_{cc}$ and spectra of the heavy quarkonia to determine the trajectory parameters and the binding energies of the heavy pair, and thereby compute the low-lying masses of the excited baryons ${\Xi }_{Q{Q}^{\prime }}$ and ${\Omega }_{Q{Q}^{\prime }}$ up to 2S and 1P excitations of the light quark and heavy diquark. The level spacings of heavy diquark excitations are found to be smaller generally than that of the light-quark excitations, in according with the nature of adiabatic expansion between the heavy and light-quark dynamics.

42 pages, 8 figures, Created by Revtex4; re-arranged the sections VI and VII into the sections II to IV. A short discussion of the searching candidate channel(decay modes) added. Accepted by Euro. Phys. J. C (upon printing)

References in corpus (9)

• Heavy Baryons in a Quark Model
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Spectroscopy of doubly-charmed baryons from lattice QCD
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Excited state mass spectra of doubly heavy $\Xi$ baryons
• Doubly heavy baryons in a Salpeter model with AdS/QCD inspired potential

Cited by in corpus (16)

• Masses and radiative decay widths of S- and P-wave singly-, doubly- and triply-heavy charm and bottom baryons
• Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies
• Identification of newly observed singly charmed baryons using relativistic flux tube model
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Influence of GUP corrected Casimir energy on zero tidal force wormholes in modified teleparallel gravity with matter coupling
• Constraints on anisotropic properties of the universe in $f(Q,T)$ gravity theory
• Mass spectra of doubly heavy tetraquarks in diquark-antidiquark picture
• Masquerading hybrid stars with dark matter
• Doubly heavy tetraquarks: heavy quark bindings and chromomagnetically mixings
• Bulk viscous matter in $f(T)$ gravity: A path to cosmic acceleration
• XENONnT WIMP Search: Signal & Background Modeling and Statistical Inference
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Quantum correlation and origin of Hawking radiation for mass-superposed BTZ black holes
• Effects of light-mass fermionic dark matter on the equilibrium and stability of white dwarfs
• Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning
• Stability of Thin Shell and Wormhole Configurations: Schwarzschild, Schwarzschild -- (Anti-) de Sitter, and FLRW Spacetimes