| Issue |
Europhys. Lett.
Volume 72, Number 2, October 2005
|
|
|---|---|---|
| Page(s) | 216 - 220 | |
| Section | Nuclear physics | |
| DOI | https://doi.org/10.1209/epl/i2005-10222-0 | |
| Published online | 09 September 2005 | |
The shell model, the renormalization group and the two-body interaction
TRIUMF - 4004 Wesbrook Mall, Vancouver, BC, Canada, V6T 2A3
Corresponding author: jennings@triumf.ca
Received:
27
July
2005
Accepted:
16
August
2005
The no-core shell model and the effective interaction 
can both be derived using the Lee-Suzuki projection operator
formalism. The main difference between the two is the choice of basis
states that define the model space. The effective interaction
can also be derived using the renormalization
group. That renormalization group derivation can be extended in a
straightforward manner to also include the no-core shell model. In the
nuclear matter limit the no-core shell model effective interaction in
the two-body approximation reduces identically to . The same considerations apply to the Bloch-Horowitz version of
the shell model and the renormalization group treatment of two-body
scattering by Birse, McGovern and Richardson.
PACS: 21.60.Cs – Shell model / 21.30.Fe – Forces in hadronic systems and effective interactions
© EDP Sciences, 2005
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