Journal of Advances in Applied Mathematics

Download PDF (7427.3 KB) PP. 74 - 88 Pub. Date: April 1, 2021

DOI: 10.22606/jaam.2021.62003

• Boris Tatischeff^*
  Universté Paris-Saclay, CNRS/IN2P3, IJCLab, Orsay Cedex, France

The oscillation symmetry is first applied to electromagnetic interactions of particles and nuclei. It is shown that the differences between successive masses plotted versus their mean values and the electromagnetic decay widths Γee of 0^−(1^−−) b¯b and c¯c mesons, plotted versus their masses, agree with such symmetry. Then it is shown that the variation of the energy differences between different levels of several nuclei from 8Be to 20Ne, corresponding to given electric or magnetic transitions, display also oscillating behaviours. The electromagnetic widths of the electric and magnetic transitions between excited levels of these nuclei, plotted versus the corresponding differences between energies agree also with this property. The oscillating periods describe also an oscillation, the same for E1, M1, and E2 transitions. It is also the case for the multiplicative factor used β, and for ratios between these parameters. The oscillation symmetry is then applied to atomic energy levels of several neutral atoms from hydrogen to phosphorus. The data exhibit nice oscillations when plotted in the same way as before. The oscillations in various nuclear and atomic periods of different elements (A) exhibit the same shape and can be fitted by the same distribution.

oscillation symmetry, masses, nuclear and electromagnetic interactions, particles, nuclei, atoms.

[1] B. Tatischeff, "Connections between hadronic masses in the One Hand and between Fundamental Particle Masses in the Other Hand", Journal of Advances in Applied Mathematics 53, 104 (2020). DOI:10.22606/jaam.2020.53002.

[2] B. Tatischeff, ’Oscillation symmetry applied to: 1) hadronic and nuclei masses and widths 2) astrophysics. And used to predict unknown data.’, Proceedings of the 15th International Conference on Nuclear Reaction Mechanisms, Varenna (Italy), p. 35 (2018).

[3] B. Tatischeff, "May the oscillation symmetry be applied to TRAPPIST-1 terrestrial planets to predict the mass of the seventh planet?", Phys. Astron. Int J. 23, 193 (2018). DOI:10.15406/paij.2018.02.00085.

[4] B. Tatischeff, "Oscillation symmetry applied to several astrophysical data. Attempt to predict some properties of the putative ninth and tenth new solar planets", Phys. Astron. Int. J 36, 267 (2019). DOI:10.15406/paij.2019.03.00193.

[5] B. Tatischeff, "Oscillation symmetry applied to some astrophysical masses, and allowing to highlight remarkable relations between masses", Phys. Astron. Int. J. 42, 93 (2020). DOI:10.1506/paij.2020.04.00206.

[6] M. Tanabashi et al., (Particle Data Group), Phys. Rev. D 98, 030001 (2018).

[7] F. Ajzenberg-Selove, "Energy Levels of Light Nuclei A = 18-20", Nuclear Physics A 392 1, (1983).

[8] F. Ajzenberg-Selove, "Energy Levels of Light Nuclei A=16-17", Nucl. Phys. A 460, 1 (1986).

[9] F. Ajzenberg-Selove, "Energy Levels of Light Nuclei A=5-10", Nucl. Phys. A 490, 1 (1988).

[10] F. Ajzenberg-Selove, "Energy Levels of Light Nuclei A=11-12", Nucl. Phys. A 433, 1 (1985).

[11] F. Ajzenberg-Selove, "Energy Levels of Light Nuclei A=13-15", Nucl. Phys. A 268, 1 (1976).

[12] https://physics.nist.gov/PhysRefData/Handbook/Tales/"atom"table5.htm.