Deducing spectroscopic factors from wave-function asymptotics

TL;DR

This paper investigates how coupling effects influence the extraction of spectroscopic factors from wave-function asymptotics in nuclear models, finding that reliable SFs are obtainable when a single configuration dominates.

Contribution

It introduces a method to deduce spectroscopic factors from wave-function asymptotics within coupled-channel models, including a simplified delta function coupling approach.

Findings

Fair agreement between SFs from single-particle and coupled-channel models

Discrepancies occur at high coupling strength or admixture

Reliable SFs are deducible when a single configuration dominates

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.