New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics

作者：Myo, Takayuki^*; Lyu, Mengjiao; Toki, Hiroshi; Horiuchi, Hisashi; Zhao, Qing; Isaka, Masahiro; Takemoto, Hiroki; Wan, Niu

来源：Physical Review C - Nuclear Physics, 2022, 105(1): 014317.

DOI：10.1103/PhysRevC.105.014317

• MONTE-CARLO CALCULATIONS

We propose a new many-body method based on the correlation functions, in which the multiple products of the correlation functions are expanded into the many-body diagrams using the cluster expansion method and every diagram is independently optimized in the total-energy variation. We apply this idea to the tensor-optimized antisymmetrized molecular dynamics (TOAMD) using the bare nucleon-nucleon interaction and show the results of the s-shell nuclei within the triple products of the correlation functions of tensor and central types. We evaluate the effect of the independent optimization of the many-body diagrams on the solutions. It is found that the triple products provide the sizable effect in the present scheme, which results in the good reproduction of the total energy and the Hamiltonian components of nuclei with respect to the few-body calculations.

• 单位
  南京航空航天大学