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

We show, within the framework of renormalized nuclear field theory and of the induced reaction surrogate formalism, that the highly debated Li-10 structure, studied in a recent high statistics Li-9(d, p) Li-10 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 +/- 0.03 MeV. Based on continuum spectroscopy self-energy techniques, we find that the physical mechanism responsible for parity inversion in Li-10(3) is the same as that at the basis of the similar phenomenon observed in Be-11(4) and as that needed in Li-11 to have an important s-wave ground-state component. In particular the strong dynamical coupling between the s(1/2) and the d(5/2) states, mediated by the quadrupole vibration of the core Li-9. A phenomenon which also affects the strength distribution of the d(5/2) state, in particular, in the energy range of 3-4.5 MeV. Furthermore, this mechanism is also consistent with the (normal) sequence of the (1)p(1/2) and (2)s(1/2) levels in the N = 7 isotones B-12(5) and C-13(6). The main aim of the present Rapid Communication is that of treating structure and reactions on equal footing and in a common language. In other words, the calculation of the Li-9(d, p) Li-10 reaction as a single conceptual step from individual single-particle motion and collective vibrations to absolute double differential cross sections of renormalized virtual and resonant final states, which can be directly compared with experiment.