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TRUNCATION OF THE VALENCE SPACE IN THE SHELL-MODEL AND EFFECTIVE HAMILTONIAN

DSpace at IIT Bombay

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Title TRUNCATION OF THE VALENCE SPACE IN THE SHELL-MODEL AND EFFECTIVE HAMILTONIAN
 
Creator MONTI, F
BONSIGNORI, G
SAVOIA, M
GAMBHIR, YK
 
Subject perturbation-theory
nuclei
approximation
expansion
 
Description An explicit numerical estimate of the many-body contributions (specifically, three-body and four-body contributions) to the effective Hamiltonian, introduced by the truncation of the shell-modell valence space, is presented. On the average, they are found to be rather small. In particular, in the case of four nucleons, it turns out that three-body and four-body contributions have generally opposite signs and therefore cancel each other. Only rarely they add and become significant. This holds for realistic and phenomenological interactions and also for empirical set of interaction matrix elements, and therefore lends support to the conventional practice of using effective two-body interactions in nuclear shell-model calculations. This is confirmed, in the case of six and eight nucleons, by the results obtained in the one-broken-pair approximation.
 
Publisher EDITRICE COMPOSITORI BOLOGNA
 
Date 2011-07-21T14:16:53Z
2011-12-26T12:52:01Z
2011-12-27T05:38:56Z
2011-07-21T14:16:53Z
2011-12-26T12:52:01Z
2011-12-27T05:38:56Z
1991
 
Type Article
 
Identifier NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 104(1), 33-57
0369-3546
http://dx.doi.org/10.1007/BF02822265
http://dspace.library.iitb.ac.in/xmlui/handle/10054/5886
http://hdl.handle.net/10054/5886
 
Language en