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Momentum distributions for fermi fluids

Thesis/Dissertation ·
OSTI ID:6930295
Momentum distributions for various strongly interacting quantum liquids, all at a temperature of absolute zero, are calculated. The starting point is a variational wave function of the Jastrow form, which builds into the system, from the start, the strong short-range dynamical correlations which are known to be present in such systems. The required matrix elements needed for the evaluation of the momentum distribution are then calculated via Fermi hypernetted-chain (FHNC) summation techniques. The first results presented utilize the standard FHNC procedure (FHNC/0), which neglects certain terms in the summed expansions. This procedure is used as a benchmark to evaluate the momentum distributions of two methods of nuclear matter, with the intent of assessing the accuracy of low order cluster approximation schemes for their intended use in finite nuclei. It is shown that for densities near that of equilibrium nuclear matter, the low order schemes do very well. Next, it is shown that the FHNC/0 technique produces a momentum distribution that violates certain known properties of the exact distribution, a defect that becomes serious for strongly coupled systems like liquid /sup 3/He. Finally, description of the ground state is extended beyond the simple Jastrow wave function by expanding the exact wave function in a basis of Jastrow-type functions. Using this basis, perturbation correction to the momentum distribution are derived, and calculated from nuclear matter.
Research Organization:
Washington Univ., Seattle (USA)
OSTI ID:
6930295
Country of Publication:
United States
Language:
English