Abstract

With reference to our earlier published views on large nuclear gravitational constant Gs, nuclear elementary charge es and strong coupling constant αs ≅ e/es 2, in this paper, we present simple relations for nuclear stability range, binding energy of isotopes and magic proton numbers. Even though ‘speculative’ in nature, proposed concepts are simple to understand, easy to implement, result oriented, effective and unified. Our proposed model seems to span across the Planck scale and nuclear scale and can be called as SPAN model (STRANGE* physics of atomic nucleus)

Highlights

  • Fermi gas model, quantum chromodynamics and string theory models are lagging in implementing the strong coupling constant and gravity in basic nuclear structure

  • We are working on understanding their physical significance with respect to proton-electron mass ratio

  • Authors are thankful to the anonymous reviewers for their kind and valuable suggestions in improving the quality of the paper

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Summary

Introduction

G f ≈ 1038 GN and with reference to our recent symposium proceedings and journal publications [21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37], we try to refine our proposed concepts with the following three assumptions for a better understanding on nuclear stability range, binding energy of isotopes and magic proton numbers.

Semi Empirical Relations and Applications
Understanding Proton-neutron Stability
Neutron Life Time
Nuclear Binding Energy Close to Stable
Nuclear Binding Energy of Isotopes of Z
10. Understanding the Binding Energy of
11. Understanding Magic Proton Numbers
Conclusion
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