Successive variational method of the tensor-optimized antisymmetrized molecular dynamics for central interaction in finite nuclei

摘要

Tensor-optimized antisymmetrized molecular dynamics (TOAMD) is the basis ofthe successive variational method for nuclear many-body problem. We apply TOAMDto finite nuclei to be described by the central interaction with strongshort-range repulsion, and compare the results with the unitary correlationoperator method (UCOM). In TOAMD, the pair-type correlation functions and theirmultiple products are operated to the AMD wave function. We show the results ofTOAMD using the Malfliet-Tjon central potential containing the strongshort-range repulsion. Adding the double products of the correlation functionsin TOAMD, the binding energies are converged quickly to the exact values of thefew-body calculations for s-shell nuclei. This indicates the high efficiency ofTOAMD for treating the short-range repulsion in nuclei. We also employ thes-wave configurations of nuclei with the central part of UCOM, which reducesthe short-range relative amplitudes of nucleon pair in nuclei to avoid theshort-range repulsion. In UCOM, we further perform the superposition of thes-wave configurations with various size parameters, which provides asatisfactory solution of energies close to the exact and TOAMD values.