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The properties of low-lying states in N=7 isotones have been studied theoretically, going from $^{10}$Li to $^{13}$C.
To reproduce in detail the changes of structure in these nuclei going towards the neutron drip line represents a considerable challenge for many-body theories.
In particular, this concerns the inversion of parity between the ground and first excited state observed going towards the drip line, which is experimentally well established in $^{11}$Be but is under discussion
in the case of the unbound nucleus $^{10}$Li, while the normal sequence is observed in $^{12}$B and $^{13}$C.
The effects of many-body renormalization processes are considered in detail, and transfer reactions are calculated, showing that the cross sections observed in recent $^{9}$Li(d,p)$^{10}$Li one–neutron transfer experiments [1,2] are consistent with, or better, require the presence of a virtual 1/2+ state [3]. Furthermore, theoretical cross sections for reactions leading to low-lying resonant states in $^{11}$Be are successfully compared to data [4].
[1] H.B. Jeppesen et al, Phys. Lett. B, 642(2006)449
[2] M. Cavallaro et al, Phys. Rev. Lett. 118 (2017) 012701
[3] F. Barranco, G. Potel, R. A. Broglia, and E. Vigezzi, Phys. Rev. Lett. 119 (2017) 082501
[4] F. Barranco, G. Potel, R. A. Broglia, and E. Vigezzi, arXiv:1812.01761