A comprehensive study on the internal structure and thedensity distribution of $^{12}$Be

Abstract

In this study, a comprehensive investigation on both different internal structure dynamics and various density distributions of the $^{12}$Be nucleus is conducted. With this goal, the quasielastic scattering data of the $^{12}$Be + $^{12}$C reaction is analyzed. Firstly, six different density distributions of the $^{12}$Be nucleus are used to obtain the real potentials under the double folding model. The imaginary potentials in the calculations of all the density distributions are taken as Woods-Saxon type. The obtained theoretical results are compared with the literature results as well as the experimental data. This comparison provides information about the similarities and differences of the six different density distributions used in the calculations. Finally, by using a different method, various internal structure models of the $^{12}$Be nucleus which consist of the\linebreak $^{4}$He + $^{8}$He, $^{6}$He + $^{6}$He and $^{4}$He + $^{6}$He + 2n systems are investigated. The theoretical results are given in comparison with each other as well as the experimental data. The agreement with the data of the theoretical results is very good.