Abstract
The Bohm-Pines method for the collective description of the Coulomb interactions in a dense electron gas has been generalized to calculate the ground state energy of liquid3He in its normal phase. The present calculation is based on the picture where one visualizes liquid3He as an interacting system of two fields corresponding to the helium atoms and the quanta of its zero-sound mode. This gives a value of −2.55 K for the average binding energy per particle, which is found to be in excellent agreement with the experimental result −2.47±0.01 K. The present theory gives rise to a value of 1.41 A−1 for the critical wave vector kc up to which the zero-sound modes exist as well-defined collective excitations of the system. This matches extremely well with the experimental result obtained by Skoldet al.
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