Quasimolecular States — A Particular Case of the New-Class Resonant States

Abstract

In [1], [2] new-class S-matrix resonant state poles have been identified by the global analysis of the pole function k = k l (g)in the case of a short range potential with Coulomb and centrifugal barrier. The general properties of these poles and of their corresponding wave functions have been studied. These new-class resonant state poles have properties that differ from the properties of the usual resonant state poles. Being stable with respect to the change of the potential strength the new-class resonant state poles in the neighborhood of the so called “stable points” and the corresponding resonant states are of exceptional interest. Among the stable points the closest to the real k-axis is the most important because it has the largest influence on the cross section. An approximate expression for this stable point kz(1)(c,l) was obtained that is valid for a large range of values of the Coulomb parameter c = Z 1 Z 2e2 M/ћ 2and of the orbital angular momentum l, provided that c is large. This approximation can be used in order to obtain the energy and width of a new-class resonant state corresponding to a pole in the neighborhood of the stable point kz(1) (c, l) (for the sake of simplicity the notation c and k are used for cR and kR, respectively, where R is the radius of the potential):KeywordsOrbital Angular MomentumResonant StateStable PointCoulomb BarrierOptical Model PotentialThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.