Restoration of chiral symmetry and the collective quark-antiquark pion

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Abstract
Many-body quantum techniques are used to investigate the restoration of chiral symmetry in a model with a chiral invariant effective Lagrangian and where a dynamic breaking of chiral symmetry occurs at the quark level. The effects of the restoration of chiral symmetry on collective qq modes are studied. It is shown that, in addition to a vibrational spectrum, the model has a rotational spectrum corresponding to states with good chirality. The lowest excited state of the rotational band has pion quantum numbers and a finite energy of quantal origin.