dorsal/arxiv
View SchemaConsideration of Nuclear Forces from the Viewpoint of the Renormalization Group - Relation of Nuclear Forces between Phenomenological Approach and Nuclear Effective Field Theory -
| Authors | Satoshi X. Nakamura |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411108 |
| URL | https://arxiv.org/abs/nucl-th/0411108 |
| DOI | 10.1143/PTP.114.77 |
| Journal | Prog.Theor.Phys. 114 (2005) 77-115 |
Abstract
A relation between nuclear forces derived using a phenomenological approach and nuclear effective field theory (NEFT) is proposed from a renormalization group point of view. A phenomenological nuclear force (V_ph) and an NEFT-based NN-potential (V_EFT) are satisfactorily related to each other through the Wilsonian renormalization group (WRG) method. It is clearly shown that use of the simple contact interactions in NEFT is adequate to simulate small scale phenomena, and that an NEFT-based NN-potential (V_EFT) is free from dependence on the model used to describe small scale phenomena. We study the characteristics of V_EFT from a WRG point of view, emphasizing points that have not previously been fully recognized. We also use the V_{low k} method and a unitary transformation method to relate V_ph to V_EFT. It is found that they are not appropriate for this purpose.
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"abstract": "A relation between nuclear forces derived using a phenomenological approach\nand nuclear effective field theory (NEFT) is proposed from a renormalization\ngroup point of view. A phenomenological nuclear force (V_ph) and an NEFT-based\nNN-potential (V_EFT) are satisfactorily related to each other through the\nWilsonian renormalization group (WRG) method. It is clearly shown that use of\nthe simple contact interactions in NEFT is adequate to simulate small scale\nphenomena, and that an NEFT-based NN-potential (V_EFT) is free from dependence\non the model used to describe small scale phenomena. We study the\ncharacteristics of V_EFT from a WRG point of view, emphasizing points that have\nnot previously been fully recognized. We also use the V_{low k} method and a\nunitary transformation method to relate V_ph to V_EFT. It is found that they\nare not appropriate for this purpose.",
"arxiv_id": "nucl-th/0411108",
"authors": [
"Satoshi X. Nakamura"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1143/PTP.114.77",
"journal_ref": "Prog.Theor.Phys. 114 (2005) 77-115",
"title": "Consideration of Nuclear Forces from the Viewpoint of the Renormalization Group - Relation of Nuclear Forces between Phenomenological Approach and Nuclear Effective Field Theory -",
"url": "https://arxiv.org/abs/nucl-th/0411108"
},
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