Momentum distributions in {sup 3}He-{sup 4}He liquid mixtures

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.11854· OSTI ID:544940

Boronat, J ^[1]; Polls, A ^[2]; Fabrocini, A ^[3]

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1. Departament de Fisica i Enginyeria Nuclear, Campus Nord B4-B5, Universitat Politecnica de Catalunya, E-08034 Barcelona (Spain)
2. Departament dEstructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona (Spain)
3. Istituto Nazionale di Fisica Nucleare, Dipartimento di Fisica, Universita di Pisa, Piazza Torricelli 2, I-56100 Pisa (Italy)

We present variational calculations of the one-body density matrices and momentum distributions for {sup 3}He-{sup 4}He mixtures in the zero-temperature limit, in the framework of the correlated basis functions theory. The ground-state wave function contains two- and three-body correlations and the matrix elements are computed by (Fermi) hypernetted chain techniques. The dependence on the {sup 3}He concentration (x{sub 3}) of the {sup 4}He condensate fraction (n{sub 0}{sup (4)}) and of the {sup 3}He pole strength (Z{sub F}) is studied along the P=0 isobar. At low {sup 3}He concentrations, the computed {sup 4}He condensate fraction is not significantly affected by the {sup 3}He statistics. Despite the low x{sub 3} values, Z{sub F} is found to be quite smaller than that of the corresponding pure {sup 3}He because of the strong {sup 3}He-{sup 4}He correlations and of the overall, large total density {rho}. A small increase of n{sub 0}{sup (4)} along x{sub 3} is found, which is mainly due to the decrease of {rho} with respect to the pure-{sup 4}He phase. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 544940
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 18 Vol. 56; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CORRELATION FUNCTIONS
DENSITY MATRIX
FERMI LEVEL
GROUND STATES
HELIUM 3
HELIUM 4
KINETIC ENERGY
NEUTRON DIFFRACTION
SUPERFLUIDITY
VARIATIONAL METHODS
WAVE FUNCTIONS