Deducing spectroscopic factors from wave-function asymptotics

Abstract

In a coupled-channel model, we explore the effects of coupling between configurations on the radial behavior of the wave function and, in particular, on the spectroscopic factor (SF) and the asymptotic normalization coefficient (ANC). We evaluate the extraction of a SF from the ratio of the ANC of the coupled-channel model to that of a single-particle approximation of the wave function. We perform this study within a core + n collective model, which includes two states of the core that connect by a rotational coupling. To get additional insights, we also use a simplified model that takes a delta function for the coupling potential. Calculations are performed for 11Be. Fair agreement is obtained between the SF inferred from the single-particle approximation and the one obtained within the coupled-channel models. Significant discrepancies are observed only for large coupling strength and/or large admixture, that is, a small SF. This suggests that reliable SFs can be deduced from the wave-function asymptotics when the structure is dominated by one configuration, that is, for a large SF.

Title corrected

References in corpus (16)

• Quantum Monte Carlo Calculations of Light Nuclei
• Self-consistent Green's function method for nuclei and nuclear matter
• Ab initio many-body calculations of nucleon-nucleus scattering
• Coulomb breakup effects on the elastic cross section of ${}^6$He+${}^{209}$Bi scattering near Coulomb barrier energies
• Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis
• FaCE: a tool for Three Body Faddeev calculations with core excitation
• Are Occupation Numbers Observable?
• Influence of low energy scattering on loosely bound states
• Are spectroscopic factors from transfer reactions consistent with asymptotic normalisation coefficients?
• Converging sequences in the ab initio no-core shell model
• Combined method to extract spectroscopic information
• Core Transitions in the Breakup of Exotic Nuclei
• Peripherality of breakup reactions
• Benchmark on neutron capture extracted from $(d,p)$ reactions
• How should one formulate, extract, and interpret `non-observables' for nuclei?
• Two-neutron overlap functions for 6He from a microscopic structure model

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