# The 9Li(d,p) reaction, a specific probe of 10Li, paradigm of parity--inverted nuclei around N=6 closed shell

## TL;DR

This paper investigates the structure of $^{10}$Li using nuclear field theory and reaction models, revealing the presence of a virtual $1/2^+$ state and explaining parity inversion phenomena in light nuclei.

## Contribution

It demonstrates that the parity inversion in $^{10}$Li is due to the same mechanism as in $^{11}$Be and $^{11}$Li, providing a unified explanation for these phenomena.

## Key findings

- Presence of a virtual $1/2^+$ state in $^{10}$Li
- Parity inversion mechanism similar to $^{11}$Be and $^{11}$Li
- Consistent level sequence in $N=7$ isotones

## Abstract

We show, within the framework of renormalized nuclear field theory and of the induced reaction surrogate formalism, that the highly debated $^{10}$Li structure, observed in a recent $^9$Li(d,p)$^{10}$Li one--neutron transfer experiment is consistent with or better, requires the presence of a virtual $1/2^+$ state of similar single--particle strength than that of the $1/2^-$ resonance at 0.45$\pm$ 0.03 MeV. Based on continuum spectroscopy self-energy techniques, we find that the physical mechanism responsible for parity inversion in $^{10}_3$Li is the same as that at the basis of the similar phenomenon observed in $^{11}_4$Be and to that needed in $^{11}$Li to have an important $s$--wave ground state component. Furthermore, it is also consistent with the (normal) sequence of the $1p_{1/2}$ and $2s_{1/2}$ levels in the $N=7$ isotones $^{12}_5$B and $^{13}_6$C.