Abstract
We review variational calculations of the momentum distribution and condensate fraction of atoms in liquid 4 He at zero and low temperatures. We use ground state and excited state wave functions which include Jastrow, three-body and backflow correlations and are obtained from variational calculations that give accurate energies and pair distribution functions over a wide density range. We calculate the change of the ground state momentum distribution due to creation of an elementary excitation and use it to calculate the change of the momentum distribution and condensate fraction at low temperatures (T < 1°K). This calculation brings out the collective and single-particle character of the excitations in the long and short wavelength limit respectively and the interplay between the two at intermediate momenta. The expectation values are calculated by means of cluster expansions and making use of the hypernetted-chain equation and the scaling approximation to include the contribution of the elementary diagrams. We discuss the singularities of the momentum distribution at low momenta and low temperatures. We compare our results with momentum distributions obtained from Green’s function Monte Carlo calculations and neutron scattering data.
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© 1989 Springer Science+Business Media New York
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Manousakis, E. (1989). Momentum Distribution in Liquid 4He at Low Temperatures: Variational Methods. In: Silver, R.N., Sokol, P.E. (eds) Momentum Distributions. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2554-1_5
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DOI: https://doi.org/10.1007/978-1-4899-2554-1_5
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