Hadron spectroscopy on excited (collective) vacua with confining Coulomb-gauge QCD models.*

In a strongly-enough coupled theory such as QCD, dynamical symmetry breaking can present excited nonperturbative vacua (with the same topology as the ground state, different from instanton vacua), akin perhaps to collective modes in nuclei or replica in condensed matter physics. We explore a well known field-theoretical quark model of QCD based on a linear+Coulomb Cornell potential (to account for the longitudinal interaction), together with a transverse interaction (to account for Coulomb-gauge gluons) in BCS approximation.  Abundant hadron phenomenology implementing dynamical chiral symmetry breaking has been built on the BCS ground state, but here we explore two excited replica. We discuss the status of their stability and the phenomenology of hadrons built on such false vacua instead of the ground state one.