SEMICLASSICAL ANALYSIS OF SCATTERING OF DEFORMED HEAVY-IONS BELOW THE COULOMB BARRIER

A semi-classical calculation is performed to predict spin polarisation observables for elastic heavy ion scattering of a quadrupole deformed projectile from a spinless target below the Coulomb barrier. A method introduced by Sukumar and Brink, based on a path integral formalism and a consistent quan...

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Bibliographic Details
Main Authors: Roberts, E, Sukumar, C, Johnson, R, Brink, D
Format: Journal article
Language:English
Published: 1995
Description
Summary:A semi-classical calculation is performed to predict spin polarisation observables for elastic heavy ion scattering of a quadrupole deformed projectile from a spinless target below the Coulomb barrier. A method introduced by Sukumar and Brink, based on a path integral formalism and a consistent quantum-mechanical treatment of both the relative motion and internal degrees of freedom is used. This method is an improvement on earlier semi-classical calculations based on the Alder and Winther method which, in the absence of excitation, predict cross-sections which are independent of the polarisation of the initial spin state. The expressions developed by Sukumar and Brink are evaluated to first order in the quadrupole moment of the projectile. Polarisation observables are compared to both quatum-mechanical coupled channels calculations and other approximate semi-classical calculations; good agreement is found. For backward angles, simple expressions for polarisation observables valid to first order in the quadrupole moment are given. © 1995.