Local degeneracy for the new-class resonant states

Institute of Atomic Physics - Bucharest, PO Box MG-6, Romania

Received: 4 February 1997
Accepted: 8 July 1997

Abstract

The local degeneracy of the new-class resonant states generated in the non-relativistic scattering of a charged particle by a central potential made up of a square well with a Coulomb barrier is studied. We demonstrate that a new-class resonant level (l,n) of orbital angular momentum l defined by a pole situated at the stable point is degenerate with the resonant levels and (l+1,n) where n is a new quantum number. Instead of the usual (2l+1) degeneracy due to the spherical symmetry, the system has a 3(2l+1) degeneracy. This degeneracy supports a new type of resonance in the cross-section, associated to the co-operative contribution from three adjacent partial waves . In particular, the so-called quasi-molecular states excited in the heavy-ion elastic scattering exhibit this local degeneracy.