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- W2058656598 abstract "We calculate the ground-state energies and pressures for $^{4}mathrm{He}$ and (normal) $^{3}mathrm{He}$ using radial distribution functions which are solutions of the Born-Bogoliubov-Green-Kirkwood-Yvon (BBGKY) integral equation with the Kirkwood superposition approximation (KSA) used for the three-particle distribution function. We compare the BBGKY-KSA results with those obtained from the hypernetted chain equation, molecular dynamics, and experiment. We conclude that the BBGKY-KSA yields poor results for $^{4}mathrm{He}$ but at the lower $^{3}mathrm{He}$ densities offers a reasonable approximation to the molecular-dynamics results. The $^{3}mathrm{He}$ energies are obtained by means of the statistical cluster expansion of Wu and Feenberg and we discuss the convergence of the series. Further, we show that the familiar parametrized power-law form used for the pair function yields pressures consistent with the virial theorem." @default.
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- W2058656598 date "1976-11-01" @default.
- W2058656598 modified "2023-09-25" @default.
- W2058656598 title "Ground state of liquid helium in the Kirkwood superposition approximation" @default.
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- W2058656598 doi "https://doi.org/10.1103/physrevb.14.3937" @default.
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