Concentration Dependence of the Effective Mass of He-3 Atoms in He-3/He-4 Mixtures

TL;DR

This paper presents theoretical calculations on how the effective mass of He-3 atoms in He-3/He-4 mixtures varies with concentration, aligning well with recent experimental measurements.

Contribution

It introduces a theoretical approach using correlated basis functions perturbation theory to accurately predict the concentration dependence of the effective mass.

Findings

Good agreement between theory and experimental data.

Effective mass increases with He-3 concentration.

Theoretical method effectively models interactions in the mixture.

Abstract

Recent measurements by Yorozu et al. (S. Yorozu, H. Fukuyama, and H. Ishimoto, Phys. Rev. B 48, 9660 (1993)) as well as by Simons and Mueller (R. Simons and R. M. Mueller, Czhechoslowak Journal of Physics Suppl. 46, 201 (1976)) have determined the effective mass of He-3 atoms in a He-3/He-4 mixture with great accuracy. We here report theoretical calculations for the dependence of that effective mass on the He-3 concentration. Using correlated basis functions perturbation theory to infinite order to compute effective interactions in the appropriate channels, we obtain good agreement between theory and experiment.