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Interplay of classical and quantal descriptions of heavy-ion interactions

Norman K. Glendenning

Norman K. Glendenning

  • Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720

Rev. Mod. Phys. 47, 659 – Published 1 July, 1975

DOI: https://doi.org/10.1103/RevModPhys.47.659

Abstract

Quasielastic collisions between complex nuclei, elastic, inelastic, and few-nucleon transfer are discussed both as a classical and quantal process. The classical trajectories can be used to illuminate the dependence of the quantal calculations on the physical parameters, and indeed can be used in a predictive way to suggest under what circumstances ambiguities can be resolved. The S-matrices for various quasielastic processes are exhibited and the quantal analog of the classical deflection function is compared with the classical one. The smooth behavior of the S-matrix for large angular momentum l suggests the possibility of a two-part approach where the lower l region is computed quantum mechanically, and the high-l region is either parametrized, treated semiclassically, or interpolated between widely spaced l's. The much greater sensitivity of several-nucleon transfer reactions to the interior region compared to elastic and inelastic scattering is stressed. Various aspects of two-nucleon transfer are discussed, including multiple-step processes, their dependence upon collectivity of the intermediate states, and the opposite sense of the interference involved in pickup and stripping reactions to vibrational states.

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