The interaction Lagrangian for two spin 1/2 elementary Dirac particles

Journal Article · Wed Jun 13 00:00:00 EDT 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2750774· OSTI ID:21061891

Rivas, Martin ^[1]

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1. Theoretical Physics Dept., University of the Basque Country, Apdo.644 48080-Bilbao (Spain)

It has been recently shown that the spacetime symmetry group of a Dirac particle is larger than the Poincare group. It also contains spacetime dilations and local rotations. In the quantum representation it becomes WxSU(2), where W is the Weyl group (Poincare group including spacetime dilations) and SU(2) is the unitary representation of the local rotation group. In this work we obtain the interaction Lagrangian for two Dirac particles, which is invariant under this enlarged spacetime group. We analyze the interaction between two Dirac particles, and show that it is possible the existence of metastable bound states for particles of the same charge, provided some initial conditions are fulfilled.

• OSTI ID: 21061891
• Journal Information: AIP Conference Proceedings, Vol. 915, Issue 1; Conference: 17. international spin physics symposium, Kyoto (Japan), 2-7 Oct 2006; Other Information: DOI: 10.1063/1.2750774; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
METASTABLE STATES
PARTICLE INTERACTIONS
POINCARE GROUPS
ROTATION
SPACE-TIME
SPIN
SU-2 GROUPS
SYMMETRY