We study the characteristics of the tensor correlation in 4 He using a shell model type method.We treat the tensor force explicitly by performing a configuration-mixing calculation in the 2p2h basis and include single-particle states up to intermediately high angular momenta.We adopt the Gaussian expansion method for the quantitative description of the spatial shrinkage of the single-particle states to optimize the tensor correlation.We are able to describe the full strength of the tensor correlation for 4 He in the shell model type method by realizing convergence.We call this model the tensor-optimized shell model.It is found that in 4 He, three specific 2p2h configurations are strongly coupled with the (0s) 4 configuration due to the characteristic features of the tensor operator.We study the characteristics of the tensor correlation in 4 He using a shell model type method.We treat the tensor force explicitly by performing a configuration-mixing calculation in the 2p2h basis and include single-particle states up to intermediately high angular momenta.We adopt the Gaussian expansion method for the quantitative description of the spatial shrinkage of the single-particle states to optimize the tensor correlation.We are able to describe the full strength of the tensor correlation for 4 He in the shell model type method by realizing convergence.We call this model the tensor-optimized shell model.It is found that in 4 He, three specific 2p2h configurations are strongly coupled with the (0s) 4 configuration due to the characteristic features of the tensor operator.

arXiv:nucl-th/0607059Progress of Theoretical PhysicsFeb 1, 200752 citations

Tensor Network Methods

Simone Montangero

Springer eBooksJan 1, 20180 citations

Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method

Takayuki Myo, Hiroshi Toki, Kiyomi Ikeda +2 more

We developed a new variational method for tensor-optimized antisymmetrized molecular dynamics (TOAMD) for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion are introduced and used in the power series form of the wave function, which is different from the Jastrow method. Here, nucleon pairs are correlated in multisteps with different forms, while they are correlated only once including all pairs in the Jastrow correlation method. Each correlation function in every term is independently optimized in the variation of total energy in TOAMD. For $s$ -shell nuclei using the nucleon-nucleon interaction, the energies in TOAMD are better than those in the variational Monte Carlo method with the Jastrow correlation function. This means that the power series expansion using the correlation functions in TOAMD describes the nuclei better than the Jastrow correlation method.We developed a new variational method for tensor-optimized antisymmetrized molecular dynamics (TOAMD) for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion are introduced and used in the power series form of the wave function, which is different from the Jastrow method. Here, nucleon pairs are correlated in multisteps with different forms, while they are correlated only once including all pairs in the Jastrow correlation method. Each correlation function in every term is independently optimized in the variation of total energy in TOAMD. For $s$-shell nuclei using the nucleon-nucleon interaction, the energies in TOAMD are better than those in the variational Monte Carlo method with the Jastrow correlation function. This means that the power series expansion using the correlation functions in TOAMD describes the nuclei better than the Jastrow correlation method.

arXiv:1708.07748Physical Review CSep 8, 201721 citations

s

-shell nuclei using the nucleon-nucleon interaction, the energies in TOAMD are better than those in the variational Monte Carlo method with the Jastrow correlation function. This means that the power series expansion using the correlation functions in TOAMD describes the nuclei better than the Jastrow correlation method.