Foundations of Physics

, Volume 33, Issue 8, pp 1189–1205 | Cite as

Relativistic Dynamical Theory of Particle Decay and Application to K-Mesons

  • John R. Fanchi


The theoretical description of particle decay by a single particle theory requires the use of a probability density in time that is not present in conventional theories. The problem of single particle decay is consistently described here within the context of a single particle, relativistic dynamical theory. We derive experimentally testable differences between the standard model and Relativistic Dynamics for a two-state system: the neutral K-meson (K0) system. We show that the estimate of mass difference between the two states is theory dependent.

particle decay K-meson relativistic dynamics 


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  1. 1.
    V. A. Fock, Phys. Z. Sowjetunion 12, 404(1937).Google Scholar
  2. 2.
    E. C. G. Stueckelberg, Helv. Phys. Acta 14, 322, 588 (1941) andGoogle Scholar
  3. 3.
    E. C. G. Stueckelberg, Helv. Phys. Acta 23 (1942).Google Scholar
  4. 4.
    L. P. Horwitz and C. Piron, Helv. Phys. Acta 46, 316(1973).Google Scholar
  5. 5.
    J. R. Fanchi and R. E. Collins, Found. Phys. 8, 851(1978); R. E. Collins and J. R. Fanchi, Nuovo. Cim. A 48, 314 (1978).Google Scholar
  6. 6.
    J. R. Fanchi, Parametrized Relativistic Quantum Theory (Kluwer Academic, Dordrecht, 1993); a review of earlier work is presented in J. R. Fanchi, Found. Phys. 23, 487 (1993).Google Scholar
  7. 7.
    J. R. Fanchi, Found. Phys. 28, 1521 (1998).Google Scholar
  8. 8.
    M. A. Trump and W. C. Schieve, Classical Relativistic Many-Body Dynamics (Kluwer Academic, Dordrecht, 1999).Google Scholar
  9. 9.
    The analysis of the neutral K-meson system is discussed in several sources, such as W. Greiner and B. Müller, Gauge Theory of Weak Interactions, 2nd edn. (Springer Berlin, 1996). P. Bloch, European Phys. J. 15, 509 (2000). D. H. Perkins, Introduction to High Energy Physics, 3rd edn. (Addison–Wesley, Menlo Park, California, 1987).Google Scholar
  10. 10.
    L. P. Horwitz and Y. Strauss, Found. Phys. 28, 1607(1998), and references therein.Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • John R. Fanchi
    • 1
  1. 1.Colorado School of MinesGolden

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