Journal of Advances in Applied Mathematics

Download PDF (8012.9 KB) PP. 104 - 116 Pub. Date: July 1, 2020

DOI: 10.22606/jaam.2020.53002

• Boris Tatischeff^*
  IPNO, CNRS/IN2P3, Université Paris-Sud, Universté Paris-Saclay, 91406 Orsay Cedex, France

The oscillation symmetry is used to study the connections between masses and widths of a selection of the following states studied separately: mesons, baryons, nuclei, and hypernuclei. It is also applied to study the connection between leptonic, quark and boson masses and widths. With the exception of M≈0 mass particles, all the fundamental particle masses are fitted by a single distribution inside the oscillation symmetry.

oscillation symmetry, particles, hadrons, nuclei, masses, widths

[1] 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).

[2] 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. 2(3), 193 (2018). DOI: 10.15406/paij.2018.02.00085.

[3] 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. 2019;3(6):267-274. DOI:10.15406/paij.2019.03.00193.

[4] M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019 update.

[5] Ya-rong Wang et al., "The study of new observed X(2040), X(2240) states and ω meson family", arXiv:1910.12408v1 [hep-ph] (2019).

[6] M. Batra and A. Upadhayay, "Strong decay widths and coupling constants of recent charm meson states", Eur. Phys. J. C 75, 319 (2015).

[7] Y. Qin-Tao Song, Dian-Yong Chen, Xiang Liu, and Takayuki, "Charmed-strange mesons revisited: mass spectra and strong decays", Phys. Rev. D 91, 5 (2015).

[8] F. Ajzenberg-Selove, ’Energy levels of Light Nuclei A = 13-15’, Nucl. Phys. A268, 1 (1976).

[9] P.M. Endt, "Energy Levels of A = 21-44 Nuclei (VII)", Nucl. Phys. A521, 1 (1990). DOI:10.1016/0375- 9474(78)90611-5

[10] M.J. Martin, Nuclear Data Sheets, 108, 1583 (2007). https://doi:10.1016/j.nds.2007.07.001.

[11] O. Hashimoto and H. Tamura, "Spectroscopy of Lambda hypernuclei", Prog. Part. Nucl. Phys. 57, 564 (2006). DOI:10.1016/j.ppnp.2005.07.001.

[12] H. Hotchi et al., "Spectroscopy of medium-heavy Λ hypernuclei via the (π+,K+) reaction", Phys. Rev. C 64, 044302 (2001).

[13] T. Hasegawa et al., "Spectroscopic study of 10 Λ B, 12 Λ C, 28 Λ Si, 89 Λ Y, 139 Λ La, and 208 Λ Pb, by (π+,K+) reaction", Phys. Rev. 53, 1210 (1996).

[14] A.J. Krasznahorkay et al., "Observation of Anomalous Internal Pair Creation in 8Be: A Possible Indication of a Light Neutral Boson", Phys. ReV. Lett. 116, 042501 (2016) DOI: 10.1103.

[15] T. Walcher, "A simple model to explain narrow nucleon resonances below the πN threshold", arXiv:hepph/ 0111279v1 (2001).

[16] A.J. Krasznahorkay et al., "New evidence supporting the existence of the hypothetic X17 particle", arXiv:1910.10459v1 [nucl-ex] Oct 2019.