Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory
International Journal of High Energy Physics
Volume 2, Issue 4-1, August 2015, Pages: 71-79
Received: Apr. 15, 2015;
Accepted: Apr. 16, 2015;
Published: Jun. 23, 2015
Views 3158 Downloads 65
Leo G. Sapogin, Department of Physics, Technical University (MADI), Moscow, Russia
Yu. A. Ryabov, Department of Mathematics, Technical University (MADI), Moscow, Russia
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.
Leo G. Sapogin,
Yu. A. Ryabov,
Calculation of the Theoretical Mass Spectrum of Elementary Particles in Unitary Quantum Theory, International Journal of High Energy Physics. Special Issue:Symmetries in Relativity, Quantum Theory, and Unified Theories.
Vol. 2, No. 4-1,
2015, pp. 71-79.
Sapogin L.G. “United field and Quantum mechanics”. System Researches (physical researches). Acad. Science USSR, Vladivostok, № 2, стр. 54-84, 1973 (Russian).
Sapogin L.G. “On Unitary Quantum Mechanics”. Nuovo Cimento, vol. 53A, No 2, p.251, 1979.
Sapogin L.G. “A Unitary Quantum Field Theory”. Annales de la Fondation Louis de Broglie, vol.5, No 4, p.285-300, 1980
Sapogin L.G. “A Statistical Theory of Measurements in Unitary Quantum Mechanics”. Nuovo Cimento, vol.70B, No 1, p.80, 1982.
Sapogin L.G. “A Statistical Theory of the Detector in Unitary Quantum Mechanics”. Nuovo Cimento, vol.71B, No 3, p.246, 1982.
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.
Sapogin L.G. and Boichenko V.A.,”On the Solution of One Non-linear Equation”. Nuovo Cimento, vol.102B, No 4, p.433, 1988.
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.
Sapogin L.G.,Ryabov Yu.A., Utchastkin V.I. “Unitary Quantum Theory and new Energy Sourses”. Ed. MADI, Moscow, 2003 (Russian).
Sapogin L.G., Ryabov Yu.A, Boichenko V.A.” Unitary Quantum Theory and a New Source of Energy”, Archer Enterprises, Geneva, NY, USA, 2005.
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)..
Poincare A. “Sur la Dynamique de l’electron”, Coll.Works, v. 3, pp.433-515, Moscow, “Science”, 1974, (Russian, transl. from French).
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.
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).
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).