Schematic baryon models, their tight binding description and their microwave realization

TL;DR

This paper introduces a relativistic schematic model for baryon excitations using a Dirac gyroscope, maps it onto a tight binding model, and demonstrates its microwave realization with dielectric resonators, showing good experimental agreement.

Contribution

It presents a novel relativistic baryon excitation model and its experimental microwave implementation, bridging theoretical physics and practical simulation.

Findings

Finite equidistant spectrum from the tight binding model

Good agreement between experimental results and theoretical predictions

Effective microwave realization of the baryon model

Abstract

A schematic model for baryon excitations is presented in terms of a symmetric Dirac gyroscope, a relativistic model solvable in closed form, that reduces to a rotor in the non-relativistic limit. The model is then mapped on a nearest neighbour tight binding model. In its simplest one-dimensional form this model yields a finite equidistant spectrum. This is experimentally implemented as a chain of dielectric resonators under conditions where their coupling is evanescent and good agreement with the prediction is achieved.