dorsal/arxiv
View SchemaThe Shell Model, the Renormalization Group and the Two-Body Interaction
| Authors | B. K. Jennings |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504070 |
| URL | https://arxiv.org/abs/nucl-th/0504070 |
| DOI | 10.1209/epl/i2005-10222-0 |
| Journal | Europhys.Lett. 72 (2005) 216-220 |
Abstract
The no-core shell model and the effective interaction $V_{{\rm low} k}$ 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 $V_{{\rm low} k}$ can also be derived using the renormalization group. That renormalization group derivation can be extended in a straight forward 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 $V_{{\rm low} k}$. 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.
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"abstract": "The no-core shell model and the effective interaction $V_{{\\rm low} k}$ can\nboth be derived using the Lee-Suzuki projection operator formalism. The main\ndifference between the two is the choice of basis states that define the model\nspace. The effective interaction $V_{{\\rm low} k}$ can also be derived using\nthe renormalization group. That renormalization group derivation can be\nextended in a straight forward manner to also include the no-core shell model.\nIn the nuclear matter limit the no-core shell model effective interaction in\nthe two-body approximation reduces identically to $V_{{\\rm low} k}$. The same\nconsiderations apply to the Bloch-Horowitz version of the shell model and the\nrenormalization group treatment of two-body scattering by Birse, McGovern and\nRichardson.",
"arxiv_id": "nucl-th/0504070",
"authors": [
"B. K. Jennings"
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"doi": "10.1209/epl/i2005-10222-0",
"journal_ref": "Europhys.Lett. 72 (2005) 216-220",
"title": "The Shell Model, the Renormalization Group and the Two-Body Interaction",
"url": "https://arxiv.org/abs/nucl-th/0504070"
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