Baryons in the Field Correlator Method: Effects of the Running Strong Coupling

TL;DR

This paper investigates the masses of ground and excited baryons using the Field Correlator Method with a two-loop running strong coupling, improving previous models by incorporating string corrections and a more accurate coupling constant.

Contribution

It introduces a novel calculation of baryon masses using the running coupling in the FCM, including string corrections for orbitally excited states.

Findings

Accurate baryon mass predictions matching experimental data.

Improved modeling of the strong coupling effects in baryon spectra.

Estimation of string corrections for excited baryons.

Abstract

The ground and P-wave excited states of nnn, nns and ssn baryons are studied in the framework of the Field Correlator Method using the running strong coupling constant in the Coulomb-like part of the three-quark potential. The running coupling is calculated up to two loops in the background perturbation theory. The three-quark problem has been solved using the hyperspherical functions method. The masses of the S- and P-wave baryons are presented. Our approach reproduces and improves the previous results for the baryon masses obtained for the freezing value of the coupling constant. The string correction for the confinement potential of the orbitally excited baryons, which is the leading contribution of the proper inertia of the rotating strings, is estimated.