dorsal/arxiv
View SchemaElectromagnetic strength of neutron and proton single-particle halo nuclei
| Authors | S. Typel, G. Baur |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411069 |
| URL | https://arxiv.org/abs/nucl-th/0411069 |
| DOI | 10.1016/j.nuclphysa.2005.05.145 |
| Journal | Nucl.Phys. A759 (2005) 247-308 |
Abstract
Electromagnetic strength functions of halo nuclei exhibit universal features that can be described in terms of characteristic scale parameters. For a nucleus with nucleon+core structure the reduced transition probability, as determined, e.g., by Coulomb dissociation experiments, shows a typical shape that depends on the nucleon separation energy and the orbital angular momenta in the initial and final states. The sensitivity to the final-state interaction (FSI) between the nucleon and the core can be studied systematically by varying the strength of the interaction in the continuum. In the case of neutron+core nuclei analytical results for the reduced transition probabilities are obtained by introducing the effective-range expansion. The scaling with the relevant parameters is found explicitly. General trends are observed by studying several examples of neutron+core and proton+core nuclei in a single-particle model assuming Woods-Saxon potentials. Many important features of the neutron halo case can be obtained from a square-well model. Rather simple analytical formulas are found. The nucleon-core interaction in the continuum affects the determination of astrophysical S factors at zero energy in the method of asymptotic normalisation coefficients (ANC). It is also relevant for the extrapolation of radiative capture cross sections to low energies.
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"abstract": "Electromagnetic strength functions of halo nuclei exhibit universal features\nthat can be described in terms of characteristic scale parameters. For a\nnucleus with nucleon+core structure the reduced transition probability, as\ndetermined, e.g., by Coulomb dissociation experiments, shows a typical shape\nthat depends on the nucleon separation energy and the orbital angular momenta\nin the initial and final states. The sensitivity to the final-state interaction\n(FSI) between the nucleon and the core can be studied systematically by varying\nthe strength of the interaction in the continuum. In the case of neutron+core\nnuclei analytical results for the reduced transition probabilities are obtained\nby introducing the effective-range expansion. The scaling with the relevant\nparameters is found explicitly. General trends are observed by studying several\nexamples of neutron+core and proton+core nuclei in a single-particle model\nassuming Woods-Saxon potentials. Many important features of the neutron halo\ncase can be obtained from a square-well model. Rather simple analytical\nformulas are found. The nucleon-core interaction in the continuum affects the\ndetermination of astrophysical S factors at zero energy in the method of\nasymptotic normalisation coefficients (ANC). It is also relevant for the\nextrapolation of radiative capture cross sections to low energies.",
"arxiv_id": "nucl-th/0411069",
"authors": [
"S. Typel",
"G. Baur"
],
"categories": [
"nucl-th",
"nucl-ex"
],
"doi": "10.1016/j.nuclphysa.2005.05.145",
"journal_ref": "Nucl.Phys. A759 (2005) 247-308",
"title": "Electromagnetic strength of neutron and proton single-particle halo nuclei",
"url": "https://arxiv.org/abs/nucl-th/0411069"
},
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