Experimental Correlation of Mercury (Hg) Isotopes with the Alikhan Symmetry-Based Nuclear Stability Model
- 1 Independent Researcher, Beylagan, Azerbaijan
Abstract
The study presents a symmetry-based analysis of Mercury (Hg) isotopes (A = 171 - 216) according to the Alikhan structural model. The model interprets nuclear stability as a result of the balance between nuclear attractive forces and Coulomb repulsion within symmetric proton-neutron frameworks. The comparison with experimental half-lives demonstrates a strong correlation between the equatorial neutron balance, nuclear force equilibrium, and isotopic stability. The findings align with the concept of “magic numbers” while refining it through spatial symmetry and stability intervals. This work demonstrates that isotopic stability trends of Mercury can be systematically interpreted through spatial symmetry parameters rather than shell occupation alone, providing a complementary qualitative perspective to conventional nuclear models.
- Mayer, M.G. (1949) On Closed Shells in Nuclei. II. Physical Review , 75, 1969-1970. https://doi.org/10.1103/physrev.75.1969
- Haxel, O., Jensen, J.H.D. and Suess, H.E. (1949) On the “Magic Numbers” in Nuclear Structure. Physical Review , 75, 1766-1766. https://doi.org/10.1103/physrev.75.1766.2
- Casten, R.F. (2000) Nuclear Structure from a Simple Perspective. 2nd Edition, Oxford University Press.
- Bohr, A. and Mottelson, B.R. (1969) Nuclear Structure, Vol. I: Single-Particle Motion. W. A. Benjamin.
- Mammadaliyev, A.Z. (2019) Symmetry-Based Structural Model of Atomic Nuclei.
- National Nuclear Data Center (NNDC) 2(024) Evaluated Nuclear Structure Data File (ENSDF). Brookhaven National Laboratory. https://www.nndc.bnl.gov/ensdf/
- Blaum, K., Dilling, J. and Nörtershäuser, W. (2013) Precision Atomic Physics Techniques for Nuclear Physics with Radioactive Beams. Physica Scripta , 152, Article ID: 014017. https://doi.org/10.1088/0031-8949/2013/t152/014017
- Nilsson, S.G., Tsang, C.F., Sobiczewski, A., Szymański, Z., Wycech, S., Gustafson, C., et al . (1969) On the Nuclear Structure and Stability of Heavy and Superheavy Elements. Nuclear Physics A , 131, 1-66. https://doi.org/10.1016/0375-9474(69)90809-4
- Ring, P. and Schuck, P. (1980) The Nuclear Many-Body Problem. Springer.
- Audi, G., Kondev, F.G., Wang, M., Huang, W.J. and Naimi, S. (2017) The NUBASE2016 Evaluation of Nuclear Properties. Chinese Physics C , 41, Article ID: 030001. https://doi.org/10.1088/1674-1137/41/3/030001