LOCAL DEGENERACY FOR THE NEW-CLASS RESONANT STATES

The local degeneracy of the new-class resonant states generated in the non-relativistic scattering of a charged particle by a central potent ial made up of a square well with a Coulomb barrier is studied. We dem onstrate that a new-class resonant level (I, n) of orbital angular mom entum I defined by a pole situated at the stable point kappa(n)((l)) i s degenerate with the resonant levels (l - 1, n) and (l + 1, n) where n is a new quantum number. Instead of the usual (2l + 1) degeneracy du e to the spherical symmetry, the System has a 3(2l + 1) degeneracy. Th is degeneracy supports a new type of resonance in the cross-section, a ssociated to the cc-operative contribution from three adjacent partial waves I -1, I, I + 1. In particular, the so-called quasi-molecular st ates excited in the heavy-ion elastic scattering exhibit this local de generacy.