The Deuteron Superpotential

The one pion exchange potential, although proper at long ranges of nucleon-nucleon interaction, does not work well at shorter ranges. However, if it is a part of the symmetry of the interaction, like one piece of a puzzle, it can reflect the other aspects of the fact. In this respect, the deuteron, as the simplest nucleons bound state has been studied by employing a superpotential approach. Despite the simplicity of the calculations presented in this study, the proposed superpotential not only describes well the long ranges of the interaction but also gives notable results for intermediate and short ranges. Moreover, the static properties of the two-nucleon system, such as wave functions, probabilities, potential, electric quadrupole moment, charge radius as well as binding energy are concluded from the deuteron superpotential. Furthermore, a new potential named "Taha1" and its partner is introduced for nucleon-nucleon interaction that is also applicable for diatomic molecules.