Long-wavelength behavior of the optimal HNC/0 solution for the ground state

Research paper by L. Szybisz

Indexed on: 01 Oct '90Published on: 01 Oct '90Published in: Zeitschrift für Physik B Condensed Matter


The ground-state wave function for a two-dimensional homogeneous liquid4He at zero temperature is obtained from a paired-phonon analysis within the HNC/0 approximation. The long-wavelength behavior of the two-body correlation factor,u(q), is studied by following the procedure previously applied to three-dimensional bulk systems. It is shown that a cut-off law for the phonons can be determined by analyzingu(q) at small two-dimensional momentaq. The numerical results strongly support an exponential cut-off similar to that suggested by Chester and Reatto for the bulk liquid. The first-sound velocityc1 and the cut-off momentumqcare calculated at several densities in the range 0.028–0.080 Å−2.