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Momentum distribution in 3He-4He liquid mixtures
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We present variational calculations of the one-body density matrices and momentum distributions for
3
H
e
−
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
3
He
concentration
(
x
3
)
of the
4
He
condensate fraction
(
n
(
4
)
0
)
and of the
3
He
pole strength
(
Z
F
)
is studied along the
P
=
0
isobar. At low
3
He
concentrations, the computed
4
He
condensate fraction is not significantly affected by the
3
He
statistics. Despite the low
x
3
values,
Z
F
is found to be quite smaller than that of the corresponding pure
3
He
because of the strong
3
H
e
−
4
He
correlations and of the overall, large total density ρ. A small increase of
n
(
4
)
0
along
x
3
is found, which is mainly due to the decrease of ρ with respect to the pure-
4
He
phase.
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BORONAT MEDICO, Jordi, POLLS MARTÍ, Artur and FABROCINI, A. Momentum distribution in 3He-4He liquid mixtures. Physical Review B. 1997. Vol. 56, num. 18, pags. 11854-11864. ISSN 0163-1829. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/10460