Exotic states from an effective hadron dynamics from superconformal algebra

Abstract

A remarkable feature of QCD is that the mass scale which controls color confinement and hadron mass scales does not appear explicitly in the QCDLagrangian. However, a mass scale can appear in the equations of motion without affecting the conformal invariance of the action if one adds a term to the Hamiltonian proportional to thespecial conformal operator. Applying the sameprocedure to the light-front (LF) Hamiltonian leads to a unique confinement potential. The same result, including spin terms, is obtained using light-front holography. Generalizing this procedure using superconformal algebra, leads to a unified Regge spectroscopy of meson, baryon, and tetraquarks, including remarkablesupersymmetric relations between the masses of mesons and baryons of the same parity. It's our goal to use this light-front holographic QCD to study the new charmonium states, which have been discovered in the last years: the X, Y and Z states. (AU)