Abstract
In an earlier paper we calculated the condensate fraction and momentum distribution of atoms in liquid $^{4}\mathrm{He}$, using a variational wave function which takes into account Jastrow and three-body correlations. In the present paper we point out an error in the expression used to compute the condensate fraction when three-body correlations were included. We report the corrected numerical results for both condensate fraction and momentum distributions for three densities. In addition, we calculate the condensate fraction and momentum distribution with and without the l=0 part of the three-body correlations in the wave function. Even though the l=0 part gives a small contribution to the ground-state energy, we find that the l=0 and l=1 terms have opposite and almost canceling effects on the condensate fraction and momentum distribution; each term separately alters the results obtained with pure Jastrow correlations by about 15--20 %, while when considered together they give only a small contribution.
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