Large-angle scattering and quasi-elastic barrier distributions

Abstract

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.

arXiv comment26 pages, 10 eps figures

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• Surface diffuseness anomaly in heavy-ion potentials for large-angle quasielastic scattering
• Hot fusion reactions with deformed nuclei for synthesis of superheavy nuclei: an extension of the fusion-by-diffusion model
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• Improved WKB approximation for quantum tunneling: Application to heavy ion fusion
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• Mapping from quasi-elastic scattering to fusion reactions
• Present status of coupled-channels calculations for heavy-ion subbarrier fusion reactions
• Quasi-elastic scattering for the nuclear ground state structure: An intriguing case of ${}^{30}$Si