We have obtained the one-body density matrix and the momentum distribu
tion of liquid lie at T = 0 from Diffusion Monte Carlo simulations, us
ing trial functions optimized via the Euler Monte Carlo (EMC) method.
For He-4 we find a condensate fraction smaller than in previous calcul
ations. For He-3, which we have studied within the fixed-node approxim
ation, we analyze the momentum distribution around the Fermi surface.
We also show that an approximate factorization of the one-body density
matrix rho(r) similar or equal to rho(u)(r)rho(B)(r) holds, with rho(
u)(r) and rho(B)(r) respectively the density matrix for the ideal (unc
orrelated) Fermi gas and the density matrix of a mass 3 Bose system.