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Nuclear many-body problem with repulsive hard core interactions

Thesis/Dissertation:

Abstract

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)
Authors:
Publication Date:
Jul 01, 1965
Product Type:
Thesis/Dissertation
Resource Relation:
Other Information: TH: Thesis (M.A.)
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; HARD-CORE POTENTIAL; MANY-BODY PROBLEM; NUCLEAR POTENTIAL; NUCLEAR STRUCTURE; PERTURBATION THEORY
OSTI ID:
21292508
Research Organizations:
Univ. of Western Ontario, London, Ontario (Canada)
Country of Origin:
Canada
Language:
English
Other Identifying Numbers:
Other: ISBN 978-0-542-45235-2; TRN: CA1000361038368
Availability:
Available from University Microfilms International-UMI, 300 North Zeeb Road, PO Box 1346, Ann Arbor, Michigan (United States), under document no. EC45235
Submitting Site:
CANN
Size:
46 pages
Announcement Date:
May 28, 2010

Thesis/Dissertation:

Citation Formats

Haddad, L M. Nuclear many-body problem with repulsive hard core interactions. Canada: N. p., 1965. Web.
Haddad, L M. Nuclear many-body problem with repulsive hard core interactions. Canada.
Haddad, L M. 1965. "Nuclear many-body problem with repulsive hard core interactions." Canada.
@misc{etde_21292508,
title = {Nuclear many-body problem with repulsive hard core interactions}
author = {Haddad, L M}
abstractNote = {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)}
place = {Canada}
year = {1965}
month = {Jul}
}