Description of the $^{11}$Li$(p,d){^{10}}$Li transfer reaction using structure overlaps from a full three-body model

TL;DR

This study analyzes the $^{11}$Li(p,d)$^{10}$Li transfer reaction using a three-body model to calculate structure overlaps, revealing the sensitivity of reaction observables to the p-wave content in the $^{11}$Li ground state.

Contribution

It introduces a full three-body model for $^{11}$Li to accurately describe transfer reactions and assesses the impact of $^{9}$Li spin and p-wave configurations on experimental observables.

Findings

Best agreement with data when $^{11}$Li has ~31% p_{1/2} wave content.

Reaction observables are highly sensitive to p-wave contributions.

Similar results obtained regardless of explicit $^{9}$Li spin inclusion.

Abstract

Recent data on the differential angular distribution for the transfer reaction $^{11}$Li(p,d)$^{10}$Li at $E/A=5.7$ MeV in inverse kinematics are analysed within the DWBA reaction framework, using the overlap functions calculated within a three-body model of $^{11}$Li. The weight of the different $^{10}$Li configurations in the system's ground state is obtained from the structure calculations unambiguously. The effect of the $^{9}$Li spin in the calculated observables is also investigated. We find that, although all the considered models succeed in reproducing the shape of the data, the magnitude is very sensitive to the content of $p_{1/2}$ wave in the $^{11}$Li ground-state wave function. Among the considered models, the best agreement with the data is obtained when the $^{11}$Li ground state contains a $\sim$31\% of $p_{1/2}$ wave in the $n$-$^9$Li subsystem. Although this model takes into account explicitly the splitting of the $1^+$ and $2^+$ resonances due to the coupling of the $p_{1/2}$ wave to the $3/2^-$ spin of the core, a similar degree of agreement can be achieved with a model in which the $^{9}$Li spin is ignored, provided that it contains a similar p-wave content.