dorsal/arxiv
View SchemaCalculation of beta-decay rates in a relativistic model with momentum-dependent self-energies
| Authors | T. Marketin, D. Vretenar, P. Ring |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0701025 |
| URL | https://arxiv.org/abs/nucl-th/0701025 |
| DOI | 10.1103/PhysRevC.75.024304 |
| Journal | Phys.Rev.C75:024304,2007 |
Abstract
The relativistic proton-neutron quasiparticle random phase approximation (PN-RQRPA) is applied in the calculation of beta-decay half-lives of neutron-rich nuclei in the $Z\approx 28$ and $Z\approx 50$ regions. The study is based on the relativistic Hartree-Bogoliubov calculation of nuclear ground-states, using effective Lagrangians with density-dependent meson-nucleon couplings, and also extended by the inclusion of couplings between the isoscalar meson fields and the derivatives of the nucleon fields. This leads to a linear momentum dependence of the scalar and vector nucleon self-energies. The residual QRPA interaction in the particle-hole channel includes the $\pi + \rho$ exchange plus a Landau-Migdal term. The finite-range Gogny interaction is employed in the T=1 pairing channel, and the model also includes a proton-neutron particle-particle interaction. The results are compared with available data, and it is shown that an extension of the standard relativistic mean-field framework to include momentum-dependent nucleon self-energies naturally leads to an enhancement of the effective (Landau) nucleon mass, and thus to an improved PN-QRPA description of beta-decay rates.
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"abstract": "The relativistic proton-neutron quasiparticle random phase approximation\n(PN-RQRPA) is applied in the calculation of beta-decay half-lives of\nneutron-rich nuclei in the $Z\\approx 28$ and $Z\\approx 50$ regions. The study\nis based on the relativistic Hartree-Bogoliubov calculation of nuclear\nground-states, using effective Lagrangians with density-dependent meson-nucleon\ncouplings, and also extended by the inclusion of couplings between the\nisoscalar meson fields and the derivatives of the nucleon fields. This leads to\na linear momentum dependence of the scalar and vector nucleon self-energies.\nThe residual QRPA interaction in the particle-hole channel includes the $\\pi +\n\\rho$ exchange plus a Landau-Migdal term. The finite-range Gogny interaction is\nemployed in the T=1 pairing channel, and the model also includes a\nproton-neutron particle-particle interaction. The results are compared with\navailable data, and it is shown that an extension of the standard relativistic\nmean-field framework to include momentum-dependent nucleon self-energies\nnaturally leads to an enhancement of the effective (Landau) nucleon mass, and\nthus to an improved PN-QRPA description of beta-decay rates.",
"arxiv_id": "nucl-th/0701025",
"authors": [
"T. Marketin",
"D. Vretenar",
"P. Ring"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.024304",
"journal_ref": "Phys.Rev.C75:024304,2007",
"title": "Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies",
"url": "https://arxiv.org/abs/nucl-th/0701025"
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