A New Computer Simulation Study for The Nucleon–Core Interactions Using a Modified Woods–Saxon Potential and The Binary System Model.

In the nucleus, a nucleon will have interacted with a remaining core. In previous studies, nucleon interactions in atom nuclei have been simulated using the generalized Woods–Saxon potential with an interaction motion assumed to be a binary system. However, the simulation results are only successful in the nucleus of the Helium atom and its isotopes, while the nucleons interaction in the Lithium atom has not been successfully simulated well. The main purpose of this study is to develop a simulation of the nucleons interaction in the atom nucleus with the mass number of the atom greater than the Helium atom. Therefore, in this study, the interaction potential used is the modified Woods–Saxon potential while the interaction motion model still uses a binary system. The trajectory pattern of nucleon interactions is obtained by the numerical solution of the reduced mass equations of the two masses interacting in a binary system. The numerical solution method used is the fourth-order Runge–Kutta method. The simulations can produce the trajectory pattern of the motion of the nucleons in the nucleus of the Helium atom up to the Beryllium-10 isotope. The simulations were also carried out on the atom nuclei of Boron and Carbon, but the simulation results have not been successful. Based on the simulation results, the characteristics of the mass number of each atom nucleus affect the potential shape and trajectory pattern of the nucleon interactions. The binary system can only be applied to the mass number of the atoms is small. [ABSTRACT FROM AUTHOR]