Large-angle scattering and quasi-elastic barrier distributions

Details Large-angle scattering and quasi-elastic barrier distributions Large-angle scattering and quasi-elastic barrier distributions

2004-02-18

arxiv.org/abs/nucl-th/0402060v1

Phys.Rev. C69 (2004) 054610

Physics

Nuclear Physics

Nuclear Theory

26 pages, 10 eps figures

Scientific paper

10.1103/PhysRevC.69.054610

We study in detail the barrier distributions extracted from large-angle quasi-elastic scattering of heavy ions at energies near the Coulomb barrier. Using a closed-form expression for scattering from a single barrier, we compare the quasi-elastic barrier distribution with the corresponding test function for fusion. We examine the isocentrifugal approximation in coupled-channels calculations of quasi-elastic scattering and find that for backward angles, it works well, justifying the concept of a barrier distribution for scattering processes. This method offers an interesting tool for investigating unstable nuclei. We illustrate this for the $^{32}$Mg + $^{208}$Pb reaction, where the quadrupole collectivity of the neutron-rich $^{32}$Mg remains to be clarified experimentally.

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