Quantization of almost-circular orbits in the Fokker action formalism. Regge trajectories

TL;DR

This paper presents a relativistic quark model for mesons using Fokker-type action integrals, which successfully reproduces key features of light meson spectroscopy through quantization of almost-circular orbits.

Contribution

It introduces a novel relativistic meson model with a scalar-vector superposition interaction and applies a quantization method to analyze its spectrum.

Findings

Model reproduces features of light meson spectroscopy

Quantization of almost-circular orbits is feasible in this framework

The approach bridges non-relativistic and relativistic descriptions

Abstract

A relativistic quark model of mesons formulated within the formalism of Fokker-type action integrals is proposed, in which an interquark interaction is mediated by scalar-vector superposition of higher derivative fields. In the non-relativistic limit the model describes a two-particle system with the linear potential. In order to analyze the model in the essentially relativistic domain the perturbed circular orbit approximation and certain principle of selection of physically meaningful solutions are applied which permit one to perform the canonical quantization of the model. It is shown that the model reproduces well specific features of the light meson spectroscopy.