# ${}^{7}$Li($d$,$p$)${}^{8}$Li transfer reaction in the NCSM/RGM approach

## TL;DR

This paper applies an ab initio no-core shell model combined with the resonating group method to study the ${}^{7}$Li($d$,$p$)${}^{8}$Li transfer reaction, analyzing resonant phase shifts and polarization effects with realistic interactions.

## Contribution

It extends previous work by analyzing additional reaction channels and the impact of deuteron polarization effects on resonant states using the NCSM/RGM approach.

## Key findings

- Dominant resonant phase shifts identified for the reaction.
- Deuteron polarization effects influence positive-parity resonant states.
- Convergence trends of phase shifts analyzed with respect to model space size.

## Abstract

Recently, we applied an $ab$ $initio$ method, the no-core shell model combined with the resonating group method, to the transfer reactions with light p-shell nuclei as targets and deuteron as the projectile. In particular, we studied the elastic scattering of deuterium on $^7$Li and the ${}^{7}$Li($d$,$p$)${}^{8}$Li transfer reaction starting from a realistic two-nucleon interaction. In this contribution, we review of our main results on the ${}^{7}$Li($d$,$p$)${}^{8}$Li transfer reaction, and we extend the study of the relevant reaction channels, by showing the dominant resonant phase shifts of the scattering matrix. We assess also the impact of the polarization effects of the deuteron below the breakup on the positive-parity resonant states in the reaction. For this purpose, we perform an analysis of the convergence trend of the phase and eigenphase shifts, with respect to the number of deuteron pseudostates included in the model space.