First sound velocity in liquid ${}^4$He

Abstract

Based on the many-boson system structure factor, which takes into account three- and four-particle direct correlations, there was found the first sound velocity temperature behaviour in liquid ${}^4$He in the post-RPA approximation. The expression received for the sound velocity matches with the well-known results in both low and high temperature limits. The results of this paper can be used to analyze the contributions of three- and four-particle correlations into thermodynamic and structural features of liquid ${}^4$He.

7 pages, 1 figure

References in corpus (3)

• Discontinuities in the First and Second Sound Velocities at the Berezinskii-Kosterlitz-Thouless Transition
• Effective mass of ${}^4$He atom in superfluid and normal phases
• Internal energy of many-boson system with three- and four-particle direct correlations taken into account

Cited by in corpus (1)

• Large-$N$ properties of a non-ideal Bose gas