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.
| DOI | 10.11648/j.ijhep.s.2015020401.16 |
| Published in |
International Journal of High Energy Physics (Volume 2, Issue 4-1, August 2015)
This article belongs to the Special Issue Symmetries in Relativity, Quantum Theory, and Unified Theories |
| 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), 2024. Published by Science Publishing Group |
Unitary, Quantum, Wave Packet, Mass Spectrum, Elementary Particle
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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
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
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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}
}
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 -
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