Universal Effective Hadron Dynamics from Superconformal Algebra

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 $\pi ,\rho ,K,K^{\ast }$ and $\varphi$ meson families as well as to the $N,\Delta ,\Lambda ,\Sigma ,{\Sigma }^{\ast },\Xi$ and ${\Xi }^{\ast }$ 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.

19 pages, 1 figure. Updated version includes a more detailed discussion of tetraquarks

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