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

TL;DR

This paper demonstrates that a Regge-like formula effectively describes the mass and angular momentum relationships in all heavy-light hadron systems, unifying mesons and baryons with a universal linear trajectory.

Contribution

It introduces a universal Regge-like relation for heavy-light systems and applies it successfully to mesons and baryons, including recent experimental data, suggesting a common underlying structure.

Findings

Heavy-light mesons have slopes about half of light hadrons.

Heavy-light baryons fit the formula assuming a diquark structure.

Predicted masses for several heavy-light baryons at L=2.

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.