Study of ⁷Li elastic scattering and the lithium-induced reaction of one-nucleon transfers from ¹⁰B(⁷Li,⁶Li)¹¹B

The angular distributions of elastic scattering of ⁷Li, as well as the lithium-induced reaction of one-nucleon transfers ¹⁰B(⁷Li,⁶Li)¹¹B were measured at Elab = 58 MeV. Experiment was done using U-400 accelerator beam of the FLNR JINR, Dubna. Angular distribution for reaction ¹⁰B(⁷Li,⁶Li)¹¹B with excitation of the 3.56 MeV state (⁶Li*) is present for the first time. The DWBA analysis of the differential cross section of the ¹⁰B(⁷Li,⁶Li)¹¹B ground state (g.s.) transition and excited (J^π = 0⁺, T = 1, E = 3.56 MeV) state of ⁶Li transition was performed. The optical model potentials were obtained by fitting of measured elastic scattering data and evaluating parameters for the output reaction channels. Phenomenological approaching 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). Obtained values of ANCs for the ⁶Lig.s. and ⁶Li*(3.56 MeV) states are similar to literature one. Comparison of the radial dependences of form factors shows that the wave function of the ⁶Li nucleus in excited (J^π = 0⁺, T = 1, E = 3.56 MeV) state has increased spatial dimension compared to the ground state, and in both cases some larger spatial size than the ground states of the ¹¹B and ¹⁰B. Within the framework of our analysis, we can confirm that the radius of the ⁶Li nucleus in the 3.56 MeV state is larger than in the ground state. This result is an argument in favor of a halo existence in ⁶Li*(3.56 MeV) state, while the question of a halo in ⁶Lig.s. still leaves open.