Regge-like relation and a universal description of heavy-light systems

Abstract

Using the Regge-like formula $(M-m_Q{)}^2=\pi \sigma L$ between hadron mass $M$ and angular momentum $L$ with a heavy quark mass $m_Q$ and a string tension $\sigma$, we analyze all the heavy-light systems, i.e., $D/D_s/B/B_s$ mesons and charmed and bottom baryons.Numerical plots are obtained for all the heavy-light mesons of experimental data whose slope becomes nearly equal to 1/2 of that for light hadrons. Assuming that charmed and bottom baryons consist of one heavy quark and one light cluster of two light quarks (diquark), we apply the formula to all the heavy-light baryons including recently discovered ${\Omega }_c$'s and find that these baryons experimentally measured satisfy the above formula. We predict the average mass values of $B$, $B_s$, ${\Lambda }_b$, ${\Sigma }_c$, ${\Xi }_c$, and ${\Omega }_c$ with $L=2$ as 6.01, 6.13, 6.15, 3.05, 3.07, and 3.34 GeV, respectively. Our results on baryons suggest that these baryons can be safely regarded as heavy quark-light cluster configuration. We also find a universal description for all the heavy-light mesons as well as baryons, i.e., one unique line is enough to describe both of charmed and bottom heavy-light systems. Our results suggest that instead of mass itself, gluon flux energy is essential to obtain a linear trajectory.

arXiv comment10 pages, 8 figures, 5 tables

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Cited by in corpus (18)

• Multiquark States
• Regge behaviors in orbitally excited spectroscopy of charmed and bottom baryons
• Interpretation of the observed ${\Lambda }_b(6146{)}^0$ and ${\Lambda }_b(6152{)}^0$ states as 1$D$ bottom baryons
• Universal behavior of mass gaps existing in the single heavy baryon family
• Mass Spectra and Decay Properties of Singly Heavy Bottom-Strange Baryons
• Identification of newly observed singly charmed baryons using relativistic flux tube model
• Concavity of the meson Regge trajectories
• Regge-like spectra of excited singly heavy mesons
• Structure of the meson Regge trajectories
• Revisiting the pion Regge trajectories
• Investigation of the mass spectra of singly heavy baryons ${\Sigma }_Q$, ${\Xi }_Q^{\prime }$ and ${\Omega }_Q$ $(Q=c,b)$ in the Regge trajectory model
• Regge trajectories for the heavy-light diquarks
• Regge trajectory relations for the universal description of the heavy-light systems: diquarks, mesons, baryons and tetraquarks
• Regge trajectory relation for the universal description of the heavy-heavy systems: diquarks, mesons, baryons and tetraquarks
• Spectroscopy of $cc\bar{c}\bar{c}$ and $ss\bar{c}\bar{c}$ Tetraquarks within the Framework of Regge Phenomenology
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• $\lambda$ and $\rho$ Regge trajectories for hidden bottom and charm tetraquarks $(Qq)(\bar{Q}{\bar{q}}^{\prime })$
• A multiquark approach to excited hadrons and Regge trajectories