Calculation of Particle Decay Times in the Standard Model
- 1 Department of Electrical Engineering, Technical University, Berlin, Germany
Abstract
We present here a two-step method of classification and calculation for decay rates in the Standard Model. The first step is a phenomenological classification method, which is an extended and improved schematic experimental formula for decay width originally introduced by Chang. This schematic formula separates decays into seven classes. Furthermore, from it is derived a process-specific interaction energy m X . The second step is a numerical calculation method, which calculates this interaction energy m X numerically by minimization of action from the Lagrangian of the process, from which follows the decay width via the phenomenological formula. The Lagrangian is based on an extension of the Standard Model, the extended SU(4)-preon-model. A comparison of numerically calculated and observed decay widths for a large selection of decays shows a good agreement.
- Chang, Y.F. (2010) Various Decays of Particles.
- Helm, J. (2019) Calculation of the Standard Model Parameters and Particles Based on a SU(4) Preon Model.
- Salam, G. (2015) SAIFR School on QCD and LHC Physics.
- Schwinn, C. (2015) Modern Methods of Quantum Chromodynamics. Universität Freiburg, Freiburg.
- Casalderrey, J. (2017) Lecture Notes on the Standard Model. University of Oxford, Oxford.
- Ho-Kim, Q. and Xuan-Yem, P. (1998) Elementary Particles and Their Interactions. Springer, Berlin. https://doi.org/10.1007/978-3-662-03712-6
- Kaku, M. (1993) Quantum Field Theory. Oxford University Press, Oxford.
- Wietfeldt, F. (2018) Atoms, 6, Article No. 70. https://doi.org/10.3390/atoms6040070
- Hayes, C.B. (2012) Neutron Beta Decay.
- Kleinert, H. (2016) Particles and Quantum Fields. World Scientific, Singapore. https://doi.org/10.1142/9915
- Serra, N. (2016) Fermi’s Golden Rule. Lecture, University of Zurich, Zürich.
- George, F. (2012) Muon & Tauon Lifetime. University of South California, Berkeley.
- Lattes, C., et al. (1947) Nature, 159, 694-698. https://doi.org/10.1038/159694a0
- Von Schlippe, W. (2002) Relativistic Kinematics of Particle Interactions. University of Utah, Salt Lake City.
- Bystritskiy, Yu.M. and Kuraev, E.A. (2005) Physical Review D, 72, Article ID: 114019. https://doi.org/10.1103/PhysRevD.72.114019
- Good, R.H., et al. (1961) Physical Review, 124, 1223-1239. https://doi.org/10.1103/PhysRev.124.1223
- Borg, F. (2005) Isospin Breaking in Kaon Decays to Pions. Thesis, Lund University, Lund.
- Jackson, J. and Tovey, D. (2000) Particle Kinematics. Particle Data Group, Berkeley.
- Quarks (2018). https://www.hyperphysics.phy-astr.gsu.edu
- Epele, L. (2002) Radiative Decays of Mesons in the NJL Model. Instituto de Fisica La Plata, La Plata.
- Yao, W.-M., et al. (Particle Data Group) (2006) Journal of Physics G: Nuclear and Particle Physics, 33, 1. https://doi.org/10.1088/0954-3899/33/1/001
- Krauss, F. (2005) Quarks and Leptons. Durham University, Durham.