Abstract:
The Hamiltonian operator in the Foldy–Wouthuysen representation describing the electroweak interaction of relativistic spin-$1/2$ particles in the standard model is obtained. The weak interaction caused by neutral currents is studied. The operator equation describing the particle spin motion in electroweak field is found. The parity nonconservation in heavy atoms is considered.
Citation:
A. Ya. Silenko, “Foldy–Wouthuysen representation in standard model of electroweak interaction”, TMF, 112:1 (1997), 161–169; Theoret. and Math. Phys., 112:1 (1997), 922–928
Silenko A.J., “Relativistic Quantum Mechanics of a Proca Particle in Riemannian Spacetimes”, Phys. Rev. D, 98:2 (2018), 025014
Silenko A.J. Teryaev O.V., “Phenomenological Description of Relativistic-Quark Interaction on the Basis of the Dirac Equation With the Cornell Potential”, Phys. Atom. Nuclei, 80:5 (2017), 976–982
Silenko A.J. Teryaev O.V., “Phenomenological Description of Spin Effects in Electromagnetic and Strong Interactions of Quarks”, Xxiii International Baldin Seminar on High Energy Physics Problems Relativistic Nuclear Physics and Quantum Chromodynamics (Baldin Ishepp Xxiii), Epj Web of Conferences, 138, ed. Bondarenko S. Burov V. Malakhov A., E D P Sciences, 2017, UNSP 08002
Silenko A.J., “General Properties of the Foldy-Wouthuysen Transformation and Applicability of the Corrected Original Foldy-Wouthuysen Method”, Phys. Rev. A, 93:2 (2016), 022108
Hagelstein P.L., “Quantum Composites: a Review, and New Results For Models For Condensed Matter Nuclear Science”, J. Condens. Matter Nucl. Sci., 20 (2016), 139–225
Silenko A.J., “Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle”, Phys. Rev. A, 94:3 (2016), 032104
Silenko A.J., “General Method of the Relativistic Foldy-Wouthuysen Transformation and Proof of Validity of the Foldy-Wouthuysen Hamiltonian”, Phys. Rev. A, 91:2 (2015), 022103
A. Ya. Silenko, “Comparative analysis of direct and “step-by-step” Foldy–Wouthuysen transformation methods”, Theoret. and Math. Phys., 176:2 (2013), 987–999
Silenko, AJ, “Foldy-Wouthuysen transformation for relativistic particles in external fields”, Journal of Mathematical Physics, 44:7 (2003), 2952
Silenko, AY, “The motion of particle spin in a nonuniform electromagnetic field”, Journal of Experimental and Theoretical Physics, 96:5 (2003), 775
Silenko, AJ, “Motion of the spin of particles and nuclei of arbitrary spin in the electric field of crystals”, Physics of Atomic Nuclei, 64:5 (2001), 983