Chiral Extension of Standard Model and Rc,Rb Problems

The deviations of R_c, R_b fiom the standard model are discussed within our theory, the cbiral extension of standard model and its supersymmetrization. Combining R_c, R_b with the coupling constants gv, gA of Z⁰ decay, Γ(W⁺ → e⁺υ_e) of W⁺ and the Michel parameters p_γ of γ decay, the mixing angles between hadronic and leptonic quarks and the form factors of the leptonic axial currents are determined within experimental errors, from which it is found that the mass of down leptonic quark of the third generation is about twice the mass of top quark.     

Rb and Rc in an Extended Standard Model

By the study for the mixing of a charm quark c and a new quark m with the mixing angle θ in an extended standard model, we obtain the theoretical values of R_b and R_c which are fairly accordant with the experimental values of R_b^{ex and R_cex.}     

Solutions of the ginsparg-wilson relation and improved domain wall fermions

We discuss a number of lattice fermion actions solving the Ginsparg-Wilson relation. We also consider short ranged approximate solutions. In particular, we are interested in reducing the lattice artifacts, while avoiding (or suppressing) additive mass renormalization. In this context, we also arrive at a formulation of improved domain wall fermions. Received: 26 March 1998 / Published online: 12 August 1998     

Variational wave equations of two fermions interacting via scalar,pseudoscalar, vector,pseudovector and tensor fields

We consider a method for deriving relativistic two-body wave equations for fermions in the coordinate representation. The Lagrangian of the theory is reformulated by eliminating the mediating fields by means of covariant Green's functions. Then, the nonlocal interaction terms in the Lagrangian are reduced to local expressions which take into account retardation effects approximately. We construct the Hamiltonian and two-fermion states of the quantized theory, employing an unconventional “empty” vacuum state, and derive relativistic two-fermion wave equations. These equations are a generalization of the Breit equation for systems with scalar, pseudoscalar, vector, pseudovector and tensor coupling.     

Bosons,fermions, and the Feshbach-Villars transformation

In this paper we develop a general method providing the relativistic equation of wave mechanics for the antiparticles within the frame of the theory of the fusion for particles with arbitrary values of spin (de Broglie, 1954). Such a method will enable us to discuss some fundamental differences between bosons and fermions.On leave at the Fondation Louis de Broglie, Paris.     

Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions

By considering the local vector current between nucleon states and imposing charge conservation, we determine its renormalisation constant and quark mass improvement coefficient for Symanzik O(a) improved Wilson fermions. The computation is first performed for quenched fermions (and for completeness also with unimproved fermions) and compared against known results. The two-flavour unquenched case is then considered.     

Solutions of D. A. Raikov’s problems in the theory of topological vector spaces

The solutions and the role of problems posed by D. A. Raikov in the sixties are discussed.     

An attempt to resolve the astrophysical puzzles by postulating scale degree of freedom

If we assume that scale is a degree of freedom which a physical object, such as a galaxy possesses besides translational and rotational degrees of freedom, we are able to incorporate such diverse phenomena as the systematic cosmological red-shifts, anomalous red-shifts, controversals of quasars, and the expansion of Earth into a single theory. At the same time we can consider the proposed existence of active dilatation as a physical realization of conformal transformations. Active conformal transformations transform the rest masses of particles. The objection that this implies a continuous rest mass spectrum which is not observed is avoided by assuming that particles can form bound systems such as nuclei, atoms, crystals, galaxies, etc., only if ‘discrete’ scale relations are established among the constituent particles. Different galaxies can be dilated relative to each other. (Note the analogy with ‘discrete’ positions of atoms in a crystal. Different crystals can be translated arbitrarily each to the other.) An observer in a contracting galaxy experiences that the universe is expanding.     

Mach's principle and the relationGM=Rc 2

The relationGM=RC ² is used as a definition ofG, withM andR defined by integrals of the energy-momentum and Einstein curvature tensors over a particular spacelike surface. Modified field equations then do not admit source-free solutions, in agreement with a strong form of Mach's principle.On leave from Scarborough College, University of Toronto, Ontario, Canada.     

Hadronic decays in the non-relativistic quark model and the properties ofs s\bar s,vector mesons

We develop a simple, but highly effective technique for evaluating three-meson couplings in the context of the³ P ₀ quark-pair-creation model. The method combines the use of realistic, numerical wave-functions with the ease of amplitude calculation associated with the harmonic-oscillator basis. As a first application we discuss the properties of 1^?? ‘strangeonium’ states between 1 and 2 GeV.     

Nuclear quadrupole moments of radioactive83Rb,84Rb and86Rb

Excited atomic² P _3/2-states of radioactive Rb isotopes have been investigated by level crossing and optical double resonance spectroscopy. The measured hyperfine structure constants yielded the nuclear moments $$\begin{gathered} \mu _I (^{84} Rb) = - 1.296(11)\mu _K Q(^{83} Rb) = + 0.27(5) \cdot 10^{ - 24} cm^2 \hfill \\ Q(^{84} Rb) = + 0.005(13) \cdot 10^{ - 24} cm^2 \hfill \\ Q(^{86} Rb) = + 0.20(3) \cdot 10^{ - 24} cm^2 \hfill \\ \end{gathered} $$ and the hyperfine anomaly₈₄Δ₈₅=+1.7(1.0) · 10^?2. The quadrupole moments of⁸³Rb to⁸⁷Rb can be explained with the unified model of vibrations.     

Mirror fermions,universality and the beam dump experiment

The electron deficiency observed in beam dump experiments is discussed within the mirror fermion model. We make a general study of the leptonic weak universality and show that only a 4% change in thee/μ-ratio due to non-universal vector/axial vector charged couplings is allowed. In the mirror fermion model this corresponds to the possibility that the electron-like mirror neutrinoN _e is very heavy. IfN _e is light enough to be produced, oscillation ofv _e into sterileN _e is possible. IfN _e is lighter than about 1 MeV, only a 6.5% decrease in thee/μ ratio is allowed, due to the constraints from reactor neutrino experiments. However, if \(m_{N_e } \) is between a couple of MeV's and 45 MeV, only one loose bound exists, allowing thee/μ ratio to decrease by 11%.