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

Abstract

The angular distributions of elastic scattering of ${}^7$Li, as well as the lithium-induced reaction of one-nucleon transfers ${}^{10}$B(${}^7$Li,${}^6$Li)${}^{11}$B were measured at $E_{\text{lab}}$ = 58 MeV. Experiment was done 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 (${}^6$Li*) is presented for the first time. The DWBA 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. The optical model potentials were obtained by fitting of measured elastic scattering data and evaluating parameters for the output reaction channels. 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). Obtained values of ANCs for the ${}^6$Li${}_{\text{g.s.}}$ and ${}^6$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 ${}^6$Li*(3.56 MeV) state, while the question of a halo in ${}^6$Li${}_{\text{g.s.}}$ still leaves open.

Comments: The article has undergone several updates: the title has been changed, Sergey Dmitriev has been added as an author, and acknowledgments to the research team have been added. Expansions and clarifications have been added to all chapters of the article. Typos have been corrected. The original results remain unchanged