Studying 6Li and 8Li States in the Processes of Interaction of Deuterons with 7Li Nuclei

We consider neutron transfer reactions $$^{7}{\text{Li}}$$ ( $$d$$ , $$p$$ ) $$^{8}{\text{Li}}$$ and neutron capture $$^{7}{\text{Li}}$$ ( $$d$$ , $$t$$ ) $$^{6}{\text{Li}}$$ as sources of information on the structure of lithium nuclei in excited, including exotic, states. The analysis is based on the use of new experimental data measured at an energy of $${{E}_{{{\text{LAB}}}}}(d)$$ = 14.5 MeV at the U-150M isochronous cyclotron of the Institute of Nuclear Physics (INP), Almaty, Republic of Kazakhstan, as well as on previously obtained data. The analysis of differential cross-sections has been conducted within the framework of the finite-range distorted waveband approximation (FRDWBA) and a phenomenological approach based on solving an approximate equation for the form factor. The obtained values of nuclear vertex constants (NVC) and asymptotic normalization coefficients (ANC) are compared with theoretical model calculations and other empirical data. The obtained radial dependences of reaction form factors for various states shows that the wave function of the $$^{6}{\text{Li}}$$ nucleus in the 3.56 MeV state has an increased spatial size compared to the ground state, both of these states having larger sizes than the 2.19 MeV state. This result indicates the existence of a halo in the 3.56 MeV state, while the presence of a halo in the ground state of $$^{6}{\text{Li}}$$ remains an open question. For $$^{8}{\text{Li}}$$ , comparison of radial form factor dependences has shown that spatial sizes of the ground state and the excited state (0.98 MeV) are close. Probably both states have a skin-like structure.