New successive variational method of tensor-optimized antisymmetrized molecular dynamics for nuclear many-body systems

Abstract

We recently proposed a new variational theory of "tensor-optimized antisymmetrized molecular dynamics" (TOAMD), which treats the strong interaction explicitly for finite nuclei [T. Myo et al., Prog. Theor. Exp. Phys. 2015, 073D02 (2015)]. In TOAMD, the correlation functions for the tensor force and the short-range repulsion and their multiple products are successively operated to the AMD state. The correlated Hamiltonian is expanded into many-body operators by using the cluster expansion and all the resulting operators are taken into account in the calculation without any truncation. We show detailed results for TOAMD with the nucleon-nucleon interaction AV8${}^{\prime }$ for $s$-shell nuclei. The binding energy and the Hamiltonian components are successively converged to exact values of the few-body calculations. We also apply TOAMD to the Malfliet-Tjon central potential having a strong short-range repulsion. TOAMD can treat the short-range correlation and provided accurate energies of $s$-shell nuclei, reproducing the results of few-body calculations. It turns out that the numerical accuracy of TOAMD with double products of the correlation functions is beyond the variational Monte Carlo method with Jastrow's product-type correlation functions.

25 pages, 24 figures, corrected typos

References in corpus (3)

• Global-Vector Representation of the Angular Motion of Few-Particle Systems II
• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
• Tensor correlation in 4He with the tensor-optimized shell model

Cited by in corpus (3)

• Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods
• New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics