Study of $^{10}$Li via the $^{9}$Li($^{2}$H, p) reaction at REX-ISOLDE

The $^{9}$Li+$^{2}$H reaction has been investigated at 2.36 MeV/u at the REX-ISOLDE facility. In this paper we focus on the $^{10}$Li+p channel which potentially holds spectroscopic information on the unbound nucleus $^{10}$Li. The experimental excitation function and angular distribution are compared with CCBA calculations. These calculations clearly support the existence of a low-lying (s) virtual state, with a (negative) scattering length of the order a$_{s}\sim$13-24 fm and a p$_{1/2}$ resonance with an energy of E$_{res}\simeq$ 0.38 MeV and a width of $\Gamma\simeq$ 0.2 MeV.