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Title: Computational methods for the nuclear and neutron matter problems. Progress report

Technical Report ·
DOI:https://doi.org/10.2172/6694594· OSTI ID:6694594

Progress on the development of Monte Carlo methods for the treatment of extensive nuclear and neutron matter and of finite nuclei is reported. Appropriate modifications in the Monte Carlo formalism were made and carried through for the V/sub 4/ potential; the previous method was satisfactory for V/sub 3/, and the latter calculations have been completed. Significant progress was made in the development of the Green's function Monte Carlo method for fermion systems. It proved useful to study a model nuclear few-body problem, in particular, a kind of three-neutron problem. This work proved successful in that a stable Monte Carlo algorithm was developed. It gave correct results for energy and wave function for a soluble (separable) test problem and reasonable results (confirmed by variational computations) for a system interacting by pairwise phenomenological potentials. A stable GFMC algorithm for many-fermion systems has not been implemented, but ancillary studies on /sup 3/He have advanced considerably. In particular, new methods for finding upper bounds have been devised in which Green's function methods are used. These have particular application to nuclear problems. Lower values of the upper bounds were found for /sup 3/He. 20 tables. (RWR)

Research Organization:
New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
DOE Contract Number:
AC02-79ER10353
OSTI ID:
6694594
Report Number(s):
DOE/ER/10353-2; TRN: 81-002810
Country of Publication:
United States
Language:
English