Nuclear Binding Energy (B) Calculation without Quantum Mechanical Correction

A Yukawa-type potential was used to predict B for the current nuclides using a set of 23 nuclides as the source of the experimental values. The deviation between measurement and prediction was remarkably reduced by a special search on the average distance between nucleons. The best results were obtained for a 2-exponential model. The predictions of B inside and outside the range of A and Z used to do the fitting were carried out by fitting the obtained values of the average distance between nucleons to a 2-term power law that depends on A and Z. An equation was obtained that shows the potential existence of up to 3 exponential terms if the mass difference between the neutron and the proton is considered and if distinctions are made among the type of nucleon-nucleon interactions.