Mass spectra and Regge trajectories of light mesons in the relativistic quark model

TL;DR

This paper calculates the mass spectra of light mesons using a relativistic quark model, constructs Regge trajectories, and assigns experimental mesons to these trajectories based on their properties.

Contribution

It introduces a relativistic quasipotential approach to accurately compute light meson spectra and analyze their Regge trajectories, aligning theoretical predictions with experimental data.

Findings

Mass spectra agree well with experimental data.

Regge trajectories are linear, parallel, and equidistant.

Experimental mesons are assigned to specific trajectories.

Abstract

Masses of the ground, orbitally and radially excited states of quark-antiquark mesons composed from the light (u,d,s) quarks are calculated within the framework of the relativistic quark model based on the quasipotential approach. The relativistic treatment of the light quark dynamics results in mass spectra which agree well with available experimental data for the masses of the most well-established states. The Regge trajectories for angular and radial excitations are constructed, and their linearity, parallelism and equidistance are verified. The assignment of experimentally observed light mesons to particular Regge trajectories is based on their masses and quantum numbers.