2004/11/30 by S. Typel, G. Baur · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #Neutrino Physics Research #Nuclear physics research studies #nucl-ex #nucl-th
paper · pdf · doi:10.1016/j.nuclphysa.2005.05.145
published as Nucl.Phys. A759 (2005) 247-308 · 77 pages, 25 figures, 7 tables, accepted for publication in Nucl. Phys. A
arxiv created 2005/06/07 · openalex publication_date 2005/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.