LOCV calculations for polarized liquid $^3{He}$ with the spin-dependent correlation

TL;DR

This study employs the LOCV method to analyze the ground state properties of polarized liquid helium-3 at zero temperature, highlighting the effects of spin-dependent correlations on energy and potential contributions.

Contribution

It introduces a detailed analysis of polarized liquid helium-3 using spin-dependent correlations within the LOCV framework, comparing results with spin-independent cases.

Findings

Total energy increases with polarization.

Spin-dependent energy is lower than spin-independent energy.

Potential energy mainly from spin-triplet state.

Abstract

We have used the lowest order constrained variational (LOCV) method to calculate some ground state properties of polarized liquid $^{3}He$ at zero temperature with the spin-dependent correlation function employing the Lennard-Jones and Aziz pair potentials. We have seen that the total energy of polarized liquid $^{3}He$ increases by increasing polarization. For all polarizations, it is shown that the total energy in the spin-dependent case is lower than the spin-independent case. We have seen that the difference between the energies of spin-dependent and spin-independent cases decreases by increasing polarization. We have shown that the main contribution of the potential energy comes from the spin-triplet state.