Spin polarized liquid 3He

TL;DR

This study uses a constrained variational method to analyze how spin polarization affects the ground state properties of liquid helium-3, revealing increased energy with polarization and the presence of a bound state even in fully polarized conditions.

Contribution

It provides new insights into the energy behavior of spin polarized liquid helium-3 and validates the use of a parabolic approximation for its energy calculations.

Findings

Internal energy increases with polarization.

No crossing point between polarized and unpolarized energy curves.

Bound state exists even in fully polarized helium-3.

Abstract

We have employed the constrained variational method to study the influence of spin polarization on the ground state properties of liquid $^3{\rm He}$. The spin polarized phase, we have found, has stronger correlation with respect to the unpolarized phase. It is shown that the internal energy of liquid $^3{\rm He}$ increases by increasing polarization with no crossing point between polarized and unpolarized energy curves over the liquid density range. The obtained internal energy curves show a bound state, even in the case of fully spin polarized matter. We have also investigated the validity of using a parabolic formula for calculating the energy of spin polarized liquid $^3{\rm He}$. Finally, we have compared our results with other calculations.