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Title: HOLE-HOLE INTERACTIONS AND THE PROPERTIES OF NUCLEAR MATTER

Abstract

Recently a number of authors have suggested modifications of the Brueckner theory of nuclear matter so as to include hole-hole interactions, as well as particle-particle interactions. Iwamoto has demonstrated that in a perturbation theory calculation the inclusion of hole-hole interaction makes no change in the ground-state energy through second order. The singular two-body potential between nucleons makes it difficult, however, to conclude anything about the contribution of these terms in nuclear matter. The formal similarity between the equation of Iwamoto and the equation for the energy gap in nuclear matter, coupled with the fact that the energy gap is very small at normal density, indicates that the effect of hole-hole interactions is probably only a very small change in the ground-state energy of nuclear matter. It is the point of this note to show that this conclusion is in fact correct, the demonstration proceeding by use of the separation method for evaluating the energy of nuclear matter.

Authors:
;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
Accelerator& Fusion Research Division
OSTI Identifier:
937485
Report Number(s):
UCRL-9150
TRN: US200821%%41
DOE Contract Number:  
DE-AC02-05CH11231
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
99; ENERGY GAP; MODIFICATIONS; NUCLEAR MATTER; NUCLEONS; PERTURBATION THEORY

Citation Formats

Moszkowski, S A, and Sessler, A M. HOLE-HOLE INTERACTIONS AND THE PROPERTIES OF NUCLEAR MATTER. United States: N. p., 1960. Web. doi:10.2172/937485.
Moszkowski, S A, & Sessler, A M. HOLE-HOLE INTERACTIONS AND THE PROPERTIES OF NUCLEAR MATTER. United States. https://doi.org/10.2172/937485
Moszkowski, S A, and Sessler, A M. 1960. "HOLE-HOLE INTERACTIONS AND THE PROPERTIES OF NUCLEAR MATTER". United States. https://doi.org/10.2172/937485. https://www.osti.gov/servlets/purl/937485.
@article{osti_937485,
title = {HOLE-HOLE INTERACTIONS AND THE PROPERTIES OF NUCLEAR MATTER},
author = {Moszkowski, S A and Sessler, A M},
abstractNote = {Recently a number of authors have suggested modifications of the Brueckner theory of nuclear matter so as to include hole-hole interactions, as well as particle-particle interactions. Iwamoto has demonstrated that in a perturbation theory calculation the inclusion of hole-hole interaction makes no change in the ground-state energy through second order. The singular two-body potential between nucleons makes it difficult, however, to conclude anything about the contribution of these terms in nuclear matter. The formal similarity between the equation of Iwamoto and the equation for the energy gap in nuclear matter, coupled with the fact that the energy gap is very small at normal density, indicates that the effect of hole-hole interactions is probably only a very small change in the ground-state energy of nuclear matter. It is the point of this note to show that this conclusion is in fact correct, the demonstration proceeding by use of the separation method for evaluating the energy of nuclear matter.},
doi = {10.2172/937485},
url = {https://www.osti.gov/biblio/937485}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Apr 04 00:00:00 EST 1960},
month = {Mon Apr 04 00:00:00 EST 1960}
}