Illustrative Model for Parity Doubling of Energy Levels

TL;DR

This paper introduces a one-dimensional quantum model inspired by QCD that exhibits a mass gap, gapless excitation, and approximate parity doubling, serving as an illustrative tool for related physical phenomena.

Contribution

It presents a novel quantum mechanical model that captures key features of parity doubling observed in particle physics, based on heuristic QCD-inspired reasoning.

Findings

Model demonstrates approximate parity doubling of energy levels.

Incorporates both mass gap and gapless excitation features.

Serves as an illustrative example for dynamical phenomena in particle physics.

Abstract

A one-dimensional quantum mechanical model possessing mass gap, a gapless excitation, and an approximate parity doubling of energy levels is constructed basing on heuristic QCD-inspired arguments. The model may serve for illustrative purposes in considering the related dynamical phenomena in particle and nuclear physics.