Infinite Renormalization of Theta-Term and Jarlskog Invariant for CP-Violation

The logarithmic ultraviolet divergence in the theta-term induced by electroweak interactions in the Kobayashi-Maskawa model of CP-violation, found by Ellis and Gaillard, is discussed. We relate it to the Jarlskog CP-odd invariant of quark mass matrix. The divergence arises in 14th order in Higgs coupling as well as in 12th order plus 2nd order in U(1) gauge boson coupling.Comment: 6 pages + 1 figure (included), LaTex, TPI-MINN-93/91-T, UMN-TH-1212/9

Electric Quadrupole Moment of a Hydrogenlike Ion in ss and p1/2p_{1/2} States

Relativistic formulas for the electric quadrupole moment of a hydrogenlike atom, induced by the hyperfine interaction, are derived for $ns_{1/2}$ and $np_{1/2}$ states. Both the magnetic dipole and electric quadrupole hyperfine interactions are taken into account. The formulas are valid for ions with arbitrary nuclear charge and spin. The induced quadrupole moment is compared with the nuclear quadrupole moment for a wide range of hydrogenlike ions.Comment: The values for the total quadrupole moment have been corrected for states with F=I-1/2. 8 pages, 2 table

Big bounce and inflation from gravitational four-fermion interaction

The four-fermion gravitational interaction is induced by torsion, and gets dominating on the Planck scale. The regular, axial-axial part of this interaction by itself does not stop the gravitational compression. However, the anomalous, vector-vector interaction results in a natural way both in big bounce and in inflation.Comment: 7 pages. arXiv admin note: substantial text overlap with arXiv:1201.422

Feasibility of search for nuclear electric dipole moments at ion storage rings

The sensitivity much better than $10^{-24} e$ cm may be expected in the searches for electric dipole moments (EDM) of $\beta$-active nuclei at ion storage rings. It would be a serious progress in studies of the CP-violation problem.Comment: 9 pages, latex, no figure

Is Radiation of Quantized Black Holes Observable?

If primordial black holes (PBH) saturate the present upper limit on the dark matter density in our Solar system and if their radiation spectrum is discrete, the sensitivity of modern detectors is close to that necessary for detecting this radiation. This conclusion is not in conflict with the upper limits on the PBH evaporation rate.Comment: 6 pages, 1 figure (reproduced properly in pdf file