Frontier Topics in Nuclear Physics pp 433-434 | Cite as

# 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* _{2}e^{2} *M/ћ* ^{2}and 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):

## Keywords

Orbital Angular Momentum Resonant State Stable Point Coulomb Barrier Optical Model Potential## References

- [1]C. Grama, N. Grama and I. Zamfirescu,
*Global method for all S-matrix poles identification. New classes of poles and resonant states, Ann. Phys. (N.Y.)*218, 346 (1992)MathSciNetADSMATHCrossRefGoogle Scholar - [2]C. Grama, N. Grama and I. Zamfirescu,
*New class of resonant states for potentials with Coulomb barrier. Quasimolecularstates, Ann. Phys.(N.Y.)*,in press.Google Scholar - [3]R. H. Siemssen,
*Surface transparency and resonance phenomena and the heavy ion optical model*in:*Nuclear Molecular Phenomena. Proceedings of the International Conference on Resonances in Heavy Ion Reactions, Hvar, Yugoslavia 1977*,edited by N. Cindro (North-Holland, Amsterdam, New York, Oxford, 1978)Google Scholar