Three-Body Model Analysis of Subbarrier alpha Transfer Reaction

TL;DR

This paper analyzes a subbarrier alpha transfer reaction using a three-body model, extracting the asymptotic normalization coefficient (ANC) and assessing breakup effects, providing results consistent with previous methods.

Contribution

It introduces a three-body model analysis of the alpha transfer reaction, including breakup effects via CDCC, and accurately extracts the ANC relevant for astrophysical reaction rates.

Findings

Breakup effects of 6Li have large back-coupling to elastic channel.

Breakup effects of 17O are significantly small.

The extracted ANC value agrees with previous DWBA calculations.

Abstract

Subbarrier alpha transfer reaction 13C(6Li,d)17O(6.356 MeV, 1/2+) at 3.6 MeV is analyzed with a alpha + d + 13C three-body model, and the asymptotic normalization coefficient (ANC) for alpha + 13C --> 17O(6.356 MeV, 1/2+), which essentially determines the reaction rate of 13C(alpha,n)16O, is extracted. Breakup effects of 6Li in the initial channel and those of 17O in the final channel are investigated with the continuum-discretized coupled-channels method (CDCC). The former is found to have a large back-coupling to the elastic channel, while the latter turns out significantly small. The transfer cross section calculated with Born approximation to the transition operator, including breakup states of 6Li, gives (C_{alpha 13C}{17O*})^2 =1.03 \pm 0.29 fm^{-1}. This result is consistent with the value obtained by the previous DWBA calculation.