dorsal/arxiv
View SchemaAuxiliary potential in no-core shell-model calculations
| Authors | D. C. Zheng, B. R. Barrett, J. P. Vary, H. Müther |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9410048 |
| URL | https://arxiv.org/abs/nucl-th/9410048 |
| DOI | 10.1103/PhysRevC.51.2471 |
| Journal | Phys.Rev.C51:2471-2476,1995 |
Abstract
The Lee-Suzuki iteration method is used to include the folded diagrams in the calculation of the two-body effective interaction $v^{(2)}_{\rm eff}$ between two nucleons in a no-core model space. This effective interaction still depends upon the choice of single-particle basis utilized in the shell-model calculation. Using a harmonic-oscillator single-particle basis and the Reid-soft-core {\it NN} potential, we find that $v^{(2)}_{\rm eff}$ overbinds $^4\mbox{He}$ in 0, 2, and $4\hbar\Omega$ model spaces. As the size of the model space increases, the amount of overbinding decreases significantly. This problem of overbinding in small model spaces is due to neglecting effective three- and four-body forces. Contributions of effective many-body forces are suppressed by using the Brueckner-Hartree-Fock single-particle Hamiltonian.
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"abstract": "The Lee-Suzuki iteration method is used to include the folded diagrams in the\ncalculation of the two-body effective interaction $v^{(2)}_{\\rm eff}$ between\ntwo nucleons in a no-core model space. This effective interaction still depends\nupon the choice of single-particle basis utilized in the shell-model\ncalculation. Using a harmonic-oscillator single-particle basis and the\nReid-soft-core {\\it NN} potential, we find that $v^{(2)}_{\\rm eff}$ overbinds\n$^4\\mbox{He}$ in 0, 2, and $4\\hbar\\Omega$ model spaces. As the size of the\nmodel space increases, the amount of overbinding decreases significantly. This\nproblem of overbinding in small model spaces is due to neglecting effective\nthree- and four-body forces. Contributions of effective many-body forces are\nsuppressed by using the Brueckner-Hartree-Fock single-particle Hamiltonian.",
"arxiv_id": "nucl-th/9410048",
"authors": [
"D. C. Zheng",
"B. R. Barrett",
"J. P. Vary",
"H. M\u00fcther"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.51.2471",
"journal_ref": "Phys.Rev.C51:2471-2476,1995",
"title": "Auxiliary potential in no-core shell-model calculations",
"url": "https://arxiv.org/abs/nucl-th/9410048"
},
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