Nuclear many-body problem with repulsive hard core interactions
Haddad, L M
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; HARD-CORE POTENTIAL; MANY-BODY PROBLEM; NUCLEAR POTENTIAL; NUCLEAR STRUCTURE; PERTURBATION THEORY
The nuclear many-body problem is considered using the perturbation-theoretic approach of Brueckner and collaborators. This approach is outlined with particular attention paid to the graphical representation of the terms in the perturbation expansion. The problem is transformed to centre-of-mass coordinates in configuration space and difficulties involved in ordinary methods of solution of the resulting equation are discussed. A new technique, the 'reference spectrum method', devised by Bethe, Brandow and Petschek in an attempt to simplify the numerical work in presented. The basic equations are derived in this approximation and considering the repulsive hard core part of the interaction only, the effective mass is calculated at high momentum (using the same energy spectrum for both 'particle' and 'hole' states). The result of 0.87m is in agreement with that of Bethe et al. A more complete treatment using the reference spectrum method in introduced and a self-consistent set of equations is established for the reference spectrum parameters again for the case of hard core repulsions. (author)
Univ. of Western Ontario, London, Ontario (Canada)
Available from University Microfilms International-UMI, 300 North Zeeb Road, PO Box 1346, Ann Arbor, Michigan (United States), under document no. EC45235
Canada
1965-07-01
English
Thesis/Dissertation
Other Information: TH: Thesis (M.A.)
Medium: X; Size: 46 pages
ISBN 978-0-542-45235-2
Other: ISBN 978-0-542-45235-2; TRN: CA1000361038368
CANN
2012-12-20
21292508