Properties of hadron states containing a condensed phase of quark-antiquark excitations

Abstract

We analyze how one-particle states can arise in a field theory of (three) quark triplets with current-current interactions which does not produce asymptotic quark states. A condensed phase of quark-antiquark pairs resembling the corresponding phase in a superconductor is responsible for the lack of stable states in the sectors with triality different from zero, provided that stable one-particle states indeed exist in the triality zero sectors, corresponding to stable configurations of valence quarks in the presence ofthe condensed phase. The precise dynamics of valence quarks is beyond the scope of the present model which is meant to illustrate a mechanism which prevents the basic quanta of the underlying fields to become asymptotically isolated and still eventually generates stable states in the hadronic sectors without inconsistencies.