| Peer-Reviewed

Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory

Received: 15 April 2015     Accepted: 16 April 2015     Published: 23 June 2015
Views:       Downloads:
Abstract

The particle is represented by the wave packet in nonlinear space-time continuum. Because of dispersion, the packet periodically appears and disappears in movement and the envelope of the process coincides with the wave function. There was considered the partial differential equation of telegraph-type describing the motion of such wave packet in spherical coordinate space. There was constructed also the analytical solution of this equation and the integral over all space of square of the gradient was supposed being equal to the mass of the particle identified with the wave packet. As the solution depends on two parameter L,m being positive integer, it was possible to calculate our theoretical particle masses for different L,m. So, we have obtained the theoretical mass spectrum of elementary particles. The comparison with known experimental mass spectrum shows our calculated theoretical mass spectrum is sufficiently verisimilar.

Published in International Journal of High Energy Physics (Volume 2, Issue 4-1)

This article belongs to the Special Issue Symmetries in Relativity, Quantum Theory, and Unified Theories

DOI 10.11648/j.ijhep.s.2015020401.16
Page(s) 71-79
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Unitary, Quantum, Wave Packet, Mass Spectrum, Elementary Particle

References
[1] Sapogin L.G. “United field and Quantum mechanics”. System Researches (physical researches). Acad. Science USSR, Vladivostok, № 2, стр. 54-84, 1973 (Russian).
[2] Sapogin L.G. “On Unitary Quantum Mechanics”. Nuovo Cimento, vol. 53A, No 2, p.251, 1979.
[3] Sapogin L.G. “A Unitary Quantum Field Theory”. Annales de la Fondation Louis de Broglie, vol.5, No 4, p.285-300, 1980
[4] Sapogin L.G. “A Statistical Theory of Measurements in Unitary Quantum Mechanics”. Nuovo Cimento, vol.70B, No 1, p.80, 1982.
[5] Sapogin L.G. “A Statistical Theory of the Detector in Unitary Quantum Mechanics”. Nuovo Cimento, vol.71B, No 3, p.246, 1982.
[6] Boichenko V.A. and Sapogin L.G.,”On the Equation of the Unitary Quantum Theory”. Annales de la Fondation Louis de Broglie, vol. 9, No3, p.221, 1984.
[7] Sapogin L.G. and Boichenko V.A.,”On the Solution of One Non-linear Equation”. Nuovo Cimento, vol.102B, No 4, p.433, 1988.
[8] Sapogin L.G. and Boichenko V.A.,”On the Charge and Mass of Particles in Unitary Quantum Theory”. Nuovo Cimento, vol.104A, No 10, p.1483, 1991.
[9] Sapogin L.G.,Ryabov Yu.A., Utchastkin V.I. “Unitary Quantum Theory and new Energy Sourses”. Ed. MADI, Moscow, 2003 (Russian).
[10] Sapogin L.G., Ryabov Yu.A, Boichenko V.A.” Unitary Quantum Theory and a New Source of Energy”, Archer Enterprises, Geneva, NY, USA, 2005.
[11] Sapogin L.G., Ryabov Yu. A., Boichenko V. A . ” Unitary Quantum Theory and New Sources of Energy”, Ed. Science-Press, Moscow, 2007 (Russian, transl. from English)..
[12] Poincare A. “Sur la Dynamique de l’electron”, Coll.Works, v. 3, pp.433-515, Moscow, “Science”, 1974, (Russian, transl. from French).
[13] Sapogin L.G., Ryabov Yu. A. “On the mass spectrum of elementary particles in Unitary Quantum Theory”, Journal “The old and new Concepts of Physics”,Vol. V, No.3, 2008.
[14] Lyamov V.E., Sapogin L.G. “About the motion of wave packets in dispersive medium”, Journal “Specialnaya radioelectronika”, №1, pр.17-25, Moscow, 1969 (Russian).
[15] W. Liu, M. G. Boshier, S. Dhawan, O. van Dyck, P. Egan, X. Fei, M. G. Perdekamp, V. W. Hughes, M. Janousch, K. Jungmann, D. Kawall, F. G. Mariam, C. Pillai, R. Prigl, G. zu Putlitz, I. Reinhard, W. Schwarz, P. A. Thompson, Phys. Rev. Lett. 82, 711 (1999).
Cite This Article
  • APA Style

    Leo G. Sapogin, Yu. A. Ryabov. (2015). Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory. International Journal of High Energy Physics, 2(4-1), 71-79. https://doi.org/10.11648/j.ijhep.s.2015020401.16

    Copy | Download

    ACS Style

    Leo G. Sapogin; Yu. A. Ryabov. Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory. Int. J. High Energy Phys. 2015, 2(4-1), 71-79. doi: 10.11648/j.ijhep.s.2015020401.16

    Copy | Download

    AMA Style

    Leo G. Sapogin, Yu. A. Ryabov. Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory. Int J High Energy Phys. 2015;2(4-1):71-79. doi: 10.11648/j.ijhep.s.2015020401.16

    Copy | Download

  • @article{10.11648/j.ijhep.s.2015020401.16,
      author = {Leo G. Sapogin and Yu. A. Ryabov},
      title = {Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory},
      journal = {International Journal of High Energy Physics},
      volume = {2},
      number = {4-1},
      pages = {71-79},
      doi = {10.11648/j.ijhep.s.2015020401.16},
      url = {https://doi.org/10.11648/j.ijhep.s.2015020401.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.s.2015020401.16},
      abstract = {The particle is represented by the wave packet in nonlinear space-time continuum. Because of dispersion, the packet periodically appears and disappears in movement and the envelope of the process coincides with the wave function. There was considered the partial differential equation of telegraph-type describing the motion of such wave packet in spherical coordinate space. There was constructed also the analytical solution of this equation and the integral over all space of square of the gradient was supposed being equal to the mass of the particle identified with the wave packet.  As the solution depends on two parameter  L,m being positive integer, it was possible to calculate our theoretical particle masses for different L,m. So, we have obtained the theoretical mass spectrum of elementary particles. The comparison with known experimental mass spectrum shows our calculated theoretical mass spectrum is sufficiently verisimilar.},
     year = {2015}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory
    AU  - Leo G. Sapogin
    AU  - Yu. A. Ryabov
    Y1  - 2015/06/23
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ijhep.s.2015020401.16
    DO  - 10.11648/j.ijhep.s.2015020401.16
    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
    SP  - 71
    EP  - 79
    PB  - Science Publishing Group
    SN  - 2376-7448
    UR  - https://doi.org/10.11648/j.ijhep.s.2015020401.16
    AB  - The particle is represented by the wave packet in nonlinear space-time continuum. Because of dispersion, the packet periodically appears and disappears in movement and the envelope of the process coincides with the wave function. There was considered the partial differential equation of telegraph-type describing the motion of such wave packet in spherical coordinate space. There was constructed also the analytical solution of this equation and the integral over all space of square of the gradient was supposed being equal to the mass of the particle identified with the wave packet.  As the solution depends on two parameter  L,m being positive integer, it was possible to calculate our theoretical particle masses for different L,m. So, we have obtained the theoretical mass spectrum of elementary particles. The comparison with known experimental mass spectrum shows our calculated theoretical mass spectrum is sufficiently verisimilar.
    VL  - 2
    IS  - 4-1
    ER  - 

    Copy | Download

Author Information
  • Department of Physics, Technical University (MADI), Moscow, Russia

  • Department of Mathematics, Technical University (MADI), Moscow, Russia

  • Sections