The magnetic susceptibility of neutron matter in the LOCV framework at finite temperature

Abstract

The lowest-order constrained variational (LOCV) method is applied to calculate the magnetic susceptibility of neutron matter (MSNM) at finite temperature. The wide range of potentials such as the Reid68, the Δ - Reid 68 and the Av 18 interactions are used as input. It is shown that, the modification of LOCV formalism for the triplet central channels presented in our recent zero temperature MSNM calculation (Modarres et al. (2009) [32]) for the operatorial structure potentials (such as Av 18 interaction) has also sizable effect at finite temperature. In this work, we switch off the higher partial waves with J ⩾ 3 , and their effect will be reported elsewhere. The predicted MSNM is in agreement with the others methods, such as the Brueckner–Hartree–Fock (BHF) for the Av 18 potentials. But as before, it is considerably smaller than the results of mean field approximation based on the Skyrme types interactions, which predict the magnetic phase transition in the neutron matter. So similar to our frozen calculation, no evidence for the ferromagnetic phase is found for the above potentials with J < 3 channels. Various quantities such the free energy, the entropy, the effective mass and the channel correlation functions of polarized neutron matter at finite temperature are presented and discussed.