New Potential for Nucleon-Nucleon Interaction: A Superpotential Approach
The one pion exchange potential works very well at long ranges of nucleon-nucleon interaction and at shorter ranges other processes become important. 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. By the one pion exchange potential approach, the deuteron, as the simplest nucleons bound state, is studied by introducing a simple superpotential. Despite the simplicity of the calculations, the proposed superpotential not only describes well the long ranges of the interaction but also gives desired results for intermediate and short ranges. 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.