Path integral approach to no-Coriolis approximation in heavy-ion collisions

Abstract

We use the two time influence functional method of the path integral approach in order to reduce the dimension of the coupled-channels equations for heavy-ion reactions based on the no-Coriolis approximation. Our method is superior to other methods in that it easily enables us to study the cases where the initial spin of the colliding particle is not zero. It can also be easily applied to the cases where the internal degrees of freedom are not necessarily collective coordinates. We also clarify the underlying assumptions in our approach.

11 pages, Latex, Phys. Rev. C in press

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• Excitation of nuclear anharmonic vibrations in heavy-ion fusion reactions
• Role of non-collective excitations in heavy-ion fusion reactions and quasi-elastic scattering around the Coulomb barrier
• Importance of Non-Linear Couplings in Fusion Barrier Distributions and Mean Angular Momenta
• Subbarrier fusion reactions of an aligned deformed nucleus
• Applicability of the orientation average formula in heavy-ion fusion reactions of deformed nuclei
• Effects of finite width of excited states on heavy-ion sub-barrier fusion reactions