dorsal/arxiv
View SchemaShell-model phenomenology of low-momentum interactions
| Authors | A. Schwenk, A. P. Zuker |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0501038 |
| URL | https://arxiv.org/abs/nucl-th/0501038 |
| DOI | 10.1103/PhysRevC.74.061302 |
| Journal | Phys.Rev. C74 (2006) 061302 |
Abstract
The first detailed comparison of the low-momentum interaction V_{low k} with G matrices is presented. We use overlaps to measure quantitatively the similarity of shell-model matrix elements for different cutoffs and oscillator frequencies. Over a wide range, all sets of V_{low k} matrix elements can be approximately obtained from a universal set by a simple scaling. In an oscillator mean-field approach, V_{low k} reproduces satisfactorily many features of the single-particle and single-hole spectra on closed-shell nuclei, in particular through remarkably good splittings between spin-orbit partners on top of harmonic oscillator closures. The main deficiencies of pure two-nucleon interactions are associated with binding energies and with the failure to ensure magicity for the extruder-intruder closures. Here, calculations including three-nucleon interactions are most needed. V_{low k} makes it possible to define directly a meaningful unperturbed monopole Hamiltonian, for which the inclusion of three-nucleon forces is tractable.
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"abstract": "The first detailed comparison of the low-momentum interaction V_{low k} with\nG matrices is presented. We use overlaps to measure quantitatively the\nsimilarity of shell-model matrix elements for different cutoffs and oscillator\nfrequencies. Over a wide range, all sets of V_{low k} matrix elements can be\napproximately obtained from a universal set by a simple scaling. In an\noscillator mean-field approach, V_{low k} reproduces satisfactorily many\nfeatures of the single-particle and single-hole spectra on closed-shell nuclei,\nin particular through remarkably good splittings between spin-orbit partners on\ntop of harmonic oscillator closures. The main deficiencies of pure two-nucleon\ninteractions are associated with binding energies and with the failure to\nensure magicity for the extruder-intruder closures. Here, calculations\nincluding three-nucleon interactions are most needed. V_{low k} makes it\npossible to define directly a meaningful unperturbed monopole Hamiltonian, for\nwhich the inclusion of three-nucleon forces is tractable.",
"arxiv_id": "nucl-th/0501038",
"authors": [
"A. Schwenk",
"A. P. Zuker"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.061302",
"journal_ref": "Phys.Rev. C74 (2006) 061302",
"title": "Shell-model phenomenology of low-momentum interactions",
"url": "https://arxiv.org/abs/nucl-th/0501038"
},
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