Simplified Form of the Semi-empirical Mass Formula

Abstract

We have developed a simple semi-empirical relation for understanding nuclear binding energy. The key ideas are: (1) Considering the ratio of nucleons mass difference to electron mass, we show that exp[m_n – m_p]/m_e] ≅ 4π; (2) Close to the beta stability line, stable mass number A_s ≅ 2Z + (Z/4π)²; (3) Considering (1/4π)² ≅ 0.006333 ≅ kas a characteristic number, close to the beta stability line and for Z ≥ 26 nuclear binding energy can be fitted with a single energy coefficient, 8.9 MeV assumed to be associated with strong and coulombic interactions.