Approximation of reduced width amplitude and application to cluster decay width

TL;DR

This paper introduces a simple approximation method for evaluating reduced width amplitudes in cluster decay, tested on various nuclei, and useful for estimating decay widths of resonance states.

Contribution

The paper presents a new, straightforward approximation technique for reduced width amplitudes using norm overlaps, applicable to cluster decay width estimations.

Findings

Approximation is effective near threshold energies.

Useful for estimating alpha-decay widths of resonances.

Applicable to different nuclear cluster channels.

Abstract

We propose a simple method to approximately evaluate reduced width amplitude (RWA) of a two-body spinless cluster channel using the norm overlap with the Brink-Bloch cluster wave function at the channel radius. The applicability of the present approximation is tested for the $^{16}$O+$\alpha$ channel in $^{20}$Ne as well as the $\alpha$+$\alpha$ channel in $^8$Be. The approximation is found to be reasonable to evaluate the RWA for states near the threshold energy and it is useful to estimate the $\alpha$-decay width of resonance states. The approximation is also applied to $^9$Li, and the partial decay width of the $^6$He($0^+_1$)+$t$ channel is discussed.