Magnetic field dependence of muonium-antimuonium conversion
Abstract We study the magnetic field dependence of muonium-antimuonium conversion for all relevent operators, such as ( V − A ) ( V − A ), ( V − A ) ( V + A ), SS and PP . The traditional ( V − A ) ( V − A ) interaction suffers two stage quenching and becomes strongly suppressed by 10 3 Gauss fields or higher. In contrast, all other operator types (except ( S − P ) ( S − P )) have a weaker field dependence and in general are not strongly quenched by strong fields. Since ongoing experiments are done with sizable magnetic fields, our results are useful for the interpretation of experimental results as bounds on different effective interactions.
A new electroweak and strong interaction unification scheme
Abstract I explore the consequences of requiring the electroweak gauge group to contain an SU(2) subgroup rotating the charged fermions to their antiparticles. This is implemented by coupling the leptons l L , l L c , ν L of each family as a 3 L representation of an electroweak SU(3) gauge group, and coupling the corresponding quarks as a second 3 L and two 3 R 's or 3 L ∗ 's. In the absence of strong interactions, the model predicts sin 2 θ w = 1 4 at the electroweak unification energy. Since the electroweak SU(3) does not commute with the color SU(3) group, the minimal consistent electroweak-strong gauge group is obtained from the closure of their commutator algebra. This has been determined to be the 151-generator semi-simple Lie algebra SU(3) × SU(12), and gives a corrected formula sin 2 θ w = 1 4 + 1 3 α/α s at the SU(3) × SU(12) unification energy, which is computed to be 10 10.8±0.8 GeV. Unification in the simple group SU(15) is attained at an energy approximately a factor of 10 higher. To cancel anomalies in the closure group, it is necessary to double the fermion content by adding “mirror” families with the roles of left- and right-handed electroweak couplings reversed with respect to the original families. Extension of the model and embeddings in SO(32) are discussed; in particular, the group SU(15) with two families of fermions and mirror fermions can be embedded in SO(32) with all fermions in the adjoint 496 representation.
Observable fractional electric charge in broken quantum chromodynamics
Quantum chromodynamics may be broken to SO/sub(/sub 3/)/sup g/ with SU/sub(/sub 3/)/sup c/ triplets becoming SO/sub(/sub 3/)/sup g/ triplets. If so, there could exist low-mass, fractionally charged diquark states that are not strongly bound to nuclei, but are rarely produced at present accelerator facilities. The breaking of quantum chromodynamics can be done with a 27/sup c/, in which case this strong-interaction theory is easily embedded in unified models such as those based on SU(5), SO(10), or E(6). Possible relevance of diquarks for fusion catalysis is described.