Universal Effective Hadron Dynamics from Superconformal Algebra

TL;DR

This paper develops a supersymmetric light-front Hamiltonian for light hadrons using superconformal algebra embedded in AdS space, leading to a unified description of meson and baryon spectra and predictions for exotic states.

Contribution

It introduces a novel effective supersymmetric QCD Hamiltonian incorporating superconformal quantum mechanics and AdS space, connecting meson and baryon spectra with a universal confinement potential.

Findings

Consistent description of light-quark hadron spectra including mesons and baryons.

Universal mass scale for Regge trajectory slopes.

Prediction of tetraquarks degenerate with baryons.

Abstract

An effective supersymmetric QCD light-front Hamiltonian for hadrons composed of light quarks, which includes a spin-spin interaction between the hadronic constituents, is constructed by embedding superconformal quantum mechanics into AdS space. A specific breaking of conformal symmetry inside the graded algebra determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson and baryon spectra. The results are consistent with the empirical features of the light-quark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zero-mass pion in the limit of massless quarks. Our analysis is consistently applied to the excitation spectra of the $\pi, \rho, K, K^*$ and $\phi$ meson families as well as to the $N, \Delta, \Lambda, \Sigma, \Sigma^*, \Xi$ and $\Xi^*$ in the baryon sector. We also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass of light hadrons is expressed in a universal and frame-independent decomposition in the semiclassical approximation described here.