Self-consistent collective coordinate for reaction path and inertial mass

Abstract

We propose a numerical method to determine the optimal collective reaction path for the nucleus-nucleus collision, based on the adiabatic self-consistent collective coordinate (ASCC) method. We use an iterative method combining the imaginary-time evolution and the finite amplitude method, for the solution of the ASCC coupled equations. It is applied to the simplest case, the $\alpha -\alpha$ scattering. We determine the collective path, the potential, and the inertial mass. The results are compared with other methods, such as the constrained Hartree-Fock method, the Inglis's cranking formula, and the adiabatic time-dependent Hartree-Fock (ATDHF) method.

14 pages, 13 figures

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Cited by in corpus (3)

• Finite-amplitude method for collective inertia in spontaneous fission
• Multipole modes of excitation in triaxially deformed superfluid nuclei
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass