We have calculated the contribution of the triple-dipole three-body interactions to the ground-state energy of liquid He⁴ and solid He. The liquid calculation was done by a Monte Carlo method using a variationally determined product wave function, and the solid calculation by evaluating the triple-dipole sum in the static lattice for several crystal lattices. The triple-dipole term is found to be quite small, of the order of 2% of the ground-state energy of liquid He⁴.
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Murphy et al. (1971) studied this question.
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