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Projection operator method for heavy ion reactions and application to /sup 12/C + /sup 12/C

Thesis/Dissertation ·
OSTI ID:6085986

A projection operator formalism based on the Feshbach doorway approach is developed for low energy heavy ion scattering. The elastic continuum subspace P is divided into a shape elastic resonance subspace R which produces gross structure and an orthogonal non-resonance subspace P. Intermediate structure is accounted for by the introduction of a doorway subspace d which consists of states one step more complicated than those in P. An application to /sup 12/C + /sup 12/C is made with doorways taken as quasibound or virtual states of the reduced mass coupled to 2/sup +/ and 3/sup -/ vibrations. The elastic differential cross section at 90/sup 0/ is calculated and agrees rather well with experiment by producting both the gross and intermediate molecular structure.

Research Organization:
Wayne State Univ., Detroit, MI (USA)
OSTI ID:
6085986
Country of Publication:
United States
Language:
English