Study of the $${}^{{6}}$$Li $${0}^{{+}}$$ Excited State

$${}^{7}$$ Li elastic scattering and the lithium-induced reaction of one-nucleon transfers from $${}^{10}$$ B( $${}^{7}$$ Li, $${}^{6}$$ Li) $${}^{11}$$ B have been measured at $$E_{\textrm{LAB}}$$ ( $${}^{7}$$ Li) = 58 MeV using U-400 accelerator beam of the FLNR JINR, Dubna. Angular distribution for reaction $${}^{10}$$ B( $${}^{7}$$ Li, $${}^{6}$$ Li) $${}^{11}$$ B with excitation of the 3.56 MeV state ( $${}^{6}\textrm{Li}^{*}$$ ) is presented for the first time. The ‘‘Finite Range Distorted Wave Born Approximation’’ (FRDWBA) analysis of the differential cross section of the $${}^{10}$$ B( $${}^{7}$$ Li, $${}^{6}$$ Li) $${}^{11}$$ B ground state (g.s.) transition and excited ( $$J^{\pi}=0^{+}$$ , $$T=1$$ , $$E=3.56$$ MeV) state of $${}^{6}$$ Li transition was performed. Phenomenological approach based on solving an approximate equation for the reaction form factor was used to determine its radial dependence and empirical values of asymptotic normalization coefficient (ANC). The obtained values of ANC for the $${}^{6}$$ Li $${}_{\textrm{g.s}}$$ and $${}^{6}\textrm{Li}^{*}$$ (3.56 MeV) states are in agreement with the literature ones. Comparison of the radial dependences of form factors shows that the wave function of the $${}^{6}$$ Li nucleus in excited ( $$J^{\pi}=0^{+}$$ , $$T=1$$ , $$E=3.56$$ MeV) state has increased spatial dimension compared to the ground state. This result is an argument in favor of a halo existence in $${}^{6}\textrm{Li}^{*}$$ (3.56 MeV) state, while the question of a halo in $${}^{6}$$ Li $${}_{\textrm{g.s.}}$$ still stays open.