Calculation of scattering cross sections of some lithium isotopes with the coupled channel method

It is aimed to calculate scattering cross section values of some lithium isotopes with the coupled channel method. For this purpose, elastic and inelastic scattering cross sections of 9 Li+ 12 C reaction were performed first. The obtained results were compared with the experimental data taken from experimental database. In the calculations, it was observed that some energy due to the inelastic scattering. The nuclear level density (NLD) function was used to accurately include these energies in to the calculations. Therefore, the deformation parameter value of the first excited state of the 28 Si isotope was determined using the NLD function. Using the obtained deformation value of 28 Si isotope, elastic, inelastic and quasi-elastic cross sections of 6,7,11 Li+ 28 Si reactions were calculated with the coupled channel method at 240 MeV, 177.8 MeV and 319 MeV energies, respectively. The obtained results were compared with the experimental data and previous studies. It was seen that the results of this study were more successful to explain the experimental data than other studies. Next, the effect of spin-orbit potential on the cross sections of 6,7 Li + 28 Si and 6,7 Li + 27 Al fusion reactions were investigated. The obtained results were compared with the experimental data and it was determined that the spin-orbit potential has a great importance to reproduce the experimental data of fusion reactions such as these reactions. Then, the spin-parity dependence of the NLD parameter was examined and a new formulation for NLD parameter based on energy and total angular momentum was proposed. Finally, the average life of the excited levels of the nuclei (Z ≤ 80) were calculated. The required gamma decay, fission and particle emission widths of nuclei were calculated by using the NLD function. Calculations were performed for approximately 3000 isotopes. Results were compared with the experimental data and it was observed that the obtained results were in agreement with the experimental data.