Universality and Regge-like spectroscopy for orbitally-excited light mesons

TL;DR

This paper introduces a new Regge-like mass relation for excited light mesons within a relativized quark model, highlighting universality and suppressed quark mass dependence, with predictions aligning well with observed data.

Contribution

It proposes a novel mass relation based on an auxiliary field method that demonstrates universality and nearly family-independent confining parameters in light meson spectroscopy.

Findings

Mass predictions agree with observed meson masses.

Supports the universality of quark mass dependence in light mesons.

Shows inverse slopes of Regge trajectories are equal in the massless quark limit.

Abstract

A new Regge-like mass relation for excited light mesons is presented in relativized quark model which supports an universality that the quark mass dependence of the light meson spectroscopy is suppressed significantly and the confining parameter is nearly family independent. It is obtained by using auxiliary field method and quasi-linearizing the solution to the mass relation solved from the model. The resulted mass predictions are in good agreement with the observed masses for the orbitally-excited trajectory family of $\pi/b$, $\rho/a$, $\eta/h$, $\omega/f$, $K^{\ast}$ and $\phi/f^{\prime}$. A semiclassical argument is given that the inverse slopes on the radial and angular-momentum Regge trajectories are equal in the massless limit of quarks.