Electromagnetic strength of neutron and proton single-particle halo nuclei

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.

arXiv comment77 pages, 25 figures, 7 tables, accepted for publication in Nucl. Phys. A

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• Hadronic Atoms and Effective Interactions
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• Carbon-19 in Halo EFT: Effective-range parameters from Coulomb-dissociation experiments
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• Breakup reaction models for two- and three-cluster projectiles
• Electric and magnetic response to the continuum for A=7 isobars in a dicluster model
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• Coulomb breakup of ${}^{37}$Mg and its ground state structure
• Low-energy bound states, resonances, and scattering of light ions
• Elastic Coulomb breakup of ${}^{34}$Na
• Exploring the halo character and dipole response in the dripline nucleus ${}^{31}$F
• Low-lying dipole strengths for probable $p$-wave one-neutron halos in the medium mass region
• Reconciling Coulomb breakup and neutron radiative capture
• Role of Higher Multipole Excitations in the Electromagnetic Dissociation of One Neutron Halo Nuclei
• Structural effects of ${}^{34}$Na in the ${}^{33}$Na(n,$\gamma {)}^{34}$Na radiative capture reaction
• Electric structure of shallow D-wave states in Halo EFT
• Direct Reactions with Exotic Nuclei, Nuclear Structure and Astrophysics
• Halo structure of ${}^{17}$C
• Combining Halo-EFT descriptions of nuclei and precise models of nuclear reactions
• Exit Doorway Model for Nuclear Breakup of Weakly Bound Projectiles
• Coupled-channel treatment of ${}^7\mathrm{Li}(n,\gamma {)}^8\mathrm{Li}$ in effective field theory
• Continuum random-phase approximation for (n,γ) reactions on neutron-rich nuclei: collective effects and resonances
• Scaling laws and higher-order effects in Coulomb excitation of neutron halo nuclei
• Pygmy resonances and symmetry energy
• Two-cluster approach to the properties of one- and two-neutron-halo nuclei
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Electric Properties of One-Neutron Halo Nuclei in Halo EFT
• Reply to comments on `Structure effects in the ${}^{15}$N($n,\gamma$)${}^{16}$N radiative capture reaction from the Coulomb dissociation of ${}^{16}$N'
• Halo EFT for ${}^{31}$Ne in a spherical formalism
• Scaling with deformation in probable $p$-wave halo ${}^{34}$Na