Yukio Tomozawa

ψ Phenomenology and the nature of quark confinement

Abstract The nonrelativistic Schrodinger equation is used with confinement potentials that are either fractional power laws or logarithmic functions of the radial coordinate to investigate the spectrum of states, leptonic decay widths, and radiative decays of the ψ family of resonances. The spectrum of states and the leptonic decay widths are in good agreement with the data for the entire class of potentials considered here. The radiative decays are still somewhat large for the standard model but could be brought into agreement with the data when threshold and relativistic effects are taken into account.

Radiative corrections to parapositronium decay

Radiative corrections to the two-gamma decay of parapositronium are examined. Special care is taken in the handling of the so-called binding diagram; in particular, the limiting procedure related to the infrared divergence is considered carefully. The general covariant gauges and the Fried--Yennie gauge are used in the computation to see that gauge invarance is accounted for. The order ..cap alpha.. correction of Harris and Brown is confirmed. In addition, from a sharp peak of the matrix element at low momentum and the low-momentum correction to the wave function, and ..cap alpha../sup 2/ ln ..cap alpha../sup -1/ correction is derived.

SU(6) isoscalar factors for the product 405×56→56, 70

SU(6) isoscalar factors for the product 405×56→56, 70 are calculated. SU(3) isoscalar factors for the products 27×10→10, 8 and 10×8→8 are also tabulated.

Note on the Fried-Yennie Gauge*

Abstract It is pointed out that the renormalization constants and the finite parts of the self energy and the vertex corrections in the infrared-free Fried-Yennie gauge are different, by finite amounts, from those which are computed as the limit of the general covariant gauge. This discrepancy occurs because of the appearance of an infrared divergence in the onmass-shell renormalization. This note provides an example where extra caution is needed in handling the limiting procedure, where an infrared divergence is involved.

SUPERSYMMETRY AND PARASTATISTICS

Abstract An analysis is made of the supersymmetry of parafields in Wess-Zumino-type models with two cases in which parabosons and parafermions form a supermultiplet. In case one the symmetry is realized by either the normal superalgebra or an infinite Lie algebra as in ordinary supersymmetry. In case two the infinite Lie algebra is intrinsic to the supersymmetry. With appropriate symmetry breaking, formulations of these types may be used to explain the generation problem by postulating unobserved parabosons as supersymmetric partners. The relevance to these models of an infinite Lie algebra constructed from supersymmetry is mentioned.

Supersymmetry and Lie algebras

Starting from the standard supersymmetry algebra, an infinite Lie algebra is constructed by introducing commutators of fermionic generators as members of the algebra. From this algebra a finite Lie algebra results for fixed momentum analogous to the Wigner analysis of the Poincare algebra. It is shown that anticommutation of the fermionic charges plays the role of a constraint on the representation. Also, it is suggested that anticommuting parameters can be avoided by using this infinite Lie algebra with fermionic generators modified by a Klein transformation.

The lepton mixing matrix in a composite model

Abstract A generalized mixing matrix for leptons is presented based on a composite model of quarks and leptons. The mixing matrix is expressed in terms of one parameter, which is determined either by discussing that it is identical to that of the quark mixing matrix or by assuming that the observed solar neutrino flux results from neutrino oscillations.

HIGH ENERGY COSMIC RAYS, GAMMA RAYS AND NEUTRINOS FROM AGN

The author reviews a model for the emission of high energy cosmic rays, gamma-rays and neutrinos from AGN (Active Galactic Nuclei) that he has proposed since 1985. Further discussion of the knee energy phenomenon of the cosmic ray energy spectrum requires the existence of a heavy particle with mass in the knee energy range. A possible method of detecting such a particle in the Pierre Auger Project is suggested. Also presented is a relation between the spectra of neutrinos and gamma-rays emitted from AGN. This relation can be tested by high energy neutrino detectors such as ICECUBE, the Mediterranean Sea Detector and possibly by the Pierre Auger Project.

Anomalous radiative Z0 decay

Abstract We examine some possible mechanisms which can explain the anomalous radiative Z 0 decays that were observed recently. They are (I) an anomalous Z 0 γγ interaction, and (II) the virtual effect of monopole-fermion bound states or of fermion monopoles. In the latter two cases, a mass scale in the TeV region is required for the explanation of the experimental data.

TWO COMPONENTS OF DARK MATTER IN THE DAMA DATA

It is shown that the DAMA data indicate two dark matter components, one that circulates around the galactic center (GC) and another that is emitted from the GC. From the location of the maximum yearly variation, one can compute the ratio of the two components.