High-momentum antisymmetrized molecular dynamics compared with tensor-optimized shell model for strong tensor correlation

We treat the tensor correlation in the antisymmetrized molecular dynamics (AMD) including relative high-momentum components among nucleon pair for finite nuclei. The tensor correlation is described by using large imaginary centroid vectors of Gaussian wave packets for nucleon pair with opposite directions, which makes a large relative momentum. We superpose the AMD basis states, in which one nucleon-pair has various relative momenta for all directions, this new method is named as "high-momentum AMD" (HM-AMD). We show the results for $^4$He using the effective interaction having a strong tensor force. It is found that HM-AMD provides the large tensor matrix element comparable to the case of the tensor-optimized shell model (TOSM), in which the two-particle two-hole (2p-2h) excitations are included fully to describe the tensor correlation. The results of two methods agree with each other at the level of the Hamiltonian components of $^4$He. This indicates that the high-momentum components described by the imaginary centroid vectors of nucleon pair in HM-AMD provide the equivalent effect of the 2p-2h excitations for the tensor correlation.