Efficiency of the new B3Y-fetal potential in the analysis of the elastic and inelastic angular distributions for the \({}^{10}\)B+\(^{12}\)C system

In our previous work Burtebayev et al, Int J Mod Phys E 28, 1950028 (2019), we presented the angular distribution (AD) for \({}^{10}\) $_{}^{10}$ B ions elastically scattered from the \({}^{12}\) $_{}^{12}$ C target at \(E_{\text {lab}}({}^{10}\text {B})=\) $E_{\text{lab}}(_{}^{10}\text{B})=$ 41.3 MeV. The measured data exhibited a pronounced increase in cross-sections at backward angles. This is mostly attributed to the effect of deuteron transfer between the colliding nuclei. In this work, we present the inelastic ADs for the same system leading to the \(J^{\pi } = 2^{+}, E_{x}=\) $J^{\pi }=2^{+},E_x=$ 4.439 MeV and \(J^{\pi } = 3^{-}, E_{x} =\) $J^{\pi }=3^{-},E_x=$ 9.641 MeV excited states of the \({}^{12}\) $_{}^{12}$ C nucleus. The measured inelastic \({}^{12}\) $_{}^{12}$ C( \({}^{10}\) $_{}^{10}$ B, \({}^{10}\) $_{}^{10}$ B) \({}^{12}\) $_{}^{12}$ C \(^{*}\) $_{}^{\ast }$ ADs, together with the previously measured elastic \({}^{12}\) $_{}^{12}$ C( \({}^{10}\) $_{}^{10}$ B, \({}^{10}\) $_{}^{10}$ B) \({}^{12}\) $_{}^{12}$ C ADs at \(E_{\text {lab}}({}^{10}\text {B})=\) $E_{\text{lab}}(_{}^{10}\text{B})=$ 17.5, 18, 41.3 and 100 MeV, are analysed within the methods of distorted wave Born approximation (DWBA) and coupled reaction channels (CRC) using the new B3Y and the standard M3Y effective interaction potentials. Spectroscopic amplitude (SA) values were determined for the \({}^{12}\text {C}\rightarrow {}^{10}\text {B} + d\) $_{}^{12}\text{C}\to _{}^{10}\text{B}+d$ configuration.