Harmonic potential and hadron spectroscopy

TL;DR

This paper explores the use of harmonic potential models to better explain the mass spectrum of hadrons, suggesting that periodic potentials align more closely with observed data than other potential models.

Contribution

It introduces a periodic correlation model of the quark-gluon sea and demonstrates that harmonic potentials provide a superior fit to hadron mass spectra compared to other potentials.

Findings

Harmonic potential levels better match hadron mass spectra.

Periodic potential models outperform other potential models.

Oscillator potential explains elementary particle mass distribution.

Abstract

The quark-gluon sea in the hadrons is considered as periodically correlated. Energy levels of Shrodinger equation with harmonic potential is used for describing of the spectrum of hadron masses. In the considered cases the effective potential operating on each particle of ensemble, under certain conditions becomes square-law on displacement from a equilibrium point. It can become an explanation of popularity of oscillator potential for the description of a spectrum of masses of elementary particles. The analysis shows that levels of periodic potential better agreed to the spectrum of hadron masses, than levels of other potentials used for an explanation of a spectrum of masses.