Variational Calculation of the Properties of Liquid <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">He</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span>-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">He</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> Mixtures at 0°K

Jean-Pierre Hansen; Daniel Schiff

doi:10.1103/PhysRevLett.23.1488

Variational Calculation of the Properties of Liquid ${He}^{3}$ - ${He}^{4}$ Mixtures at 0°K

Jean-Pierre Hansen and Daniel Schiff

Phys. Rev. Lett. 23, 1488 – Published 29 December 1969

Abstract

The properties of liquid ${He}^{3}$ - ${He}^{4}$ mixtures at 0°K are studied by a variational method using a Jastrow-Slater trial wave function and the Wu-Feenberg expansion of the energy expectation value: The system of mass-3 boson + mass-4 boson shows complete phase separation; the system of mass-3 fermion + mass-4 boson and the system of mass-3 boson + mass-4 fermion mixtures separate incompletely; and the system of mass-3 fermion + mass-4 fermion mixes completely. The limiting solubility of the mass-3 fermion in the mass-4 boson solvent is found to increase with pressure.

Received 12 November 1969

DOI:https://doi.org/10.1103/PhysRevLett.23.1488

Authors & Affiliations

Jean-Pierre Hansen and Daniel Schiff^*

Laboratoire de Physique Théorique et Hautes Energies, Université de Paris, 91-Orsay, France

^*Laboratoire associé au Centre National de la Recherche Scientifique. Postal address: Laboratoire de Physique Théorique et Hautes Energies, Bâtiment 211, Faculté des Sciences, 91-Orsay, France.