The LOCV asymmetric nucleonic matter in the periodic boxes

Abstract

The study of the finite asymmetric nucleonic matter (ASM) in the periodic boxes (PBs) could play a significant role in the investigation of the finite nuclei as well as the crust of neutron stars. So, in the present contribution, the lowest order constrained variational (LOCV) method is applied to finite ASM in PBs (PBLOCV). In the PBLOCV ASM computations, different sets of finite nucleonic systems are considered, at various proton to neutron ratios ($$\beta $$), using the Bethe and the central part of the AV$$'$$8 potentials. The asymmetric effects are imposed in the statistical correlation functions, in which their PB versions are anisotropic. It is shown that the mentioned anisotropic behavior is the origin of the anisotropy of the PBLOCV ASM nucleon–nucleon distribution functions. As expected, it is found that, for a large number of nucleons and mesh segments, the PBLOCV ASM energies tend to those of LOCV. In other words, for a large PB, the PBLOCV smallness parameters reasonably agree with those of LOCV. The finite size effects (FSEs), which can be employed in quantum Monet Carlo calculations, are illustrated for PBLOCV ASM energies, especially for small periodic boxes, at high $$\beta $$ values. It is demonstrated that considering 420 (504) nucleons at $$\beta =0.034(0.474)$$, the corresponding PBLOCV energy is notably consistent with those of 1030 nucleons and LOCV. Meanwhile, the PBLOCV ASM data for 14 (16) nucleons at $$\beta =0.000 (0.143)$$ lie far from those of LOCV, for which the FSEs are remarkably evident.