dorsal/arxiv
View SchemaMany-body effects in nuclear structure
| Authors | F. Barranco, R. A. Broglia, G. Colo', E. Vigezzi, P. F. Bortignon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0304049 |
| URL | https://arxiv.org/abs/nucl-th/0304049 |
| DOI | 10.1140/epja/i2003-10185-0 |
| Journal | Eur.Phys.J. A21 (2004) 57-60 |
Abstract
We calculate, for the first time, the state-dependent pairing gap of a finite nucleus (120Sn) diagonalizing the bare nucleon-nucleon potential (Argonne v14) in a Hartree-Fock basis (with effective k-mass m_k eqult to 0.7 m), within the framework of the BCS approximation including scattering states up to 800 MeV above the Fermi energy to achieve convergence. The resulting gap accounts for about half of the experimental gap. We find that a consistent description of the low-energy nuclear spectrum requires, aside from the bare nucleon-nucleon interaction, not only the dressing of single-particle motion through the coupling to the nuclear surface, to give the right density of levels close to the Fermi energy (and thus an effective mass m* approximately equal to m), but also the renormalization of collective vibrational modes through vertex and self-energy processes, processes which are also found to play an essential role in the pairing channel, leading to a long range, state dependent component of the pairing interaction. The combined effect of the bare nucleon-nucleon potential and of the induced pairing interaction arising from the exchange of low-lying surface vibrations between nucleons moving in time reversal states close to the Fermi energy accounts for the experimental gap.
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"abstract": "We calculate, for the first time, the state-dependent pairing gap of a finite\nnucleus (120Sn) diagonalizing the bare nucleon-nucleon potential (Argonne v14)\nin a Hartree-Fock basis (with effective k-mass m_k eqult to 0.7 m), within the\nframework of the BCS approximation including scattering states up to 800 MeV\nabove the Fermi energy to achieve convergence. The resulting gap accounts for\nabout half of the experimental gap. We find that a consistent description of\nthe low-energy nuclear spectrum requires, aside from the bare nucleon-nucleon\ninteraction, not only the dressing of single-particle motion through the\ncoupling to the nuclear surface, to give the right density of levels close to\nthe Fermi energy (and thus an effective mass m* approximately equal to m), but\nalso the renormalization of collective vibrational modes through vertex and\nself-energy processes, processes which are also found to play an essential role\nin the pairing channel, leading to a long range, state dependent component of\nthe pairing interaction. The combined effect of the bare nucleon-nucleon\npotential and of the induced pairing interaction arising from the exchange of\nlow-lying surface vibrations between nucleons moving in time reversal states\nclose to the Fermi energy accounts for the experimental gap.",
"arxiv_id": "nucl-th/0304049",
"authors": [
"F. Barranco",
"R. A. Broglia",
"G. Colo\u0027",
"E. Vigezzi",
"P. F. Bortignon"
],
"categories": [
"nucl-th"
],
"doi": "10.1140/epja/i2003-10185-0",
"journal_ref": "Eur.Phys.J. A21 (2004) 57-60",
"title": "Many-body effects in nuclear structure",
"url": "https://arxiv.org/abs/nucl-th/0304049"
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