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

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

On Quantization of Black Holes

A simple argument is presented in favour of the equidistant spectrum in semiclassical limit for the horizon area of a black hole. The following quantization rules for the mass $M_N$ and horizon area $A_{Nj}$ are proposed: M_N = m_p [N(N+1)]^{1/4}; A_{Nj} = 8\pi l_p^2 [\sqrt{N(N+1)} + \sqrt{N(N+1) - j(j+1)} ]. Here both $N$ and $j$ are nonnegative integers or half-integers.Comment: 4 pages, late

Comment on ``Proton Polarization Shifts in Electronic and Muonic Hydrogen''

We demonstrate that criticisms concerning our work nucl-th/9704043, made in the recent preprint hep-ph/9903352, are unfounded. The improvements over our results claimed in hep-ph/9903352 are in fact spurious, being based mainly on misunderstandings and on dubious theoretical models.Comment: 3 pages, latex, no figures, corrected style of references in abstrac

Approximate Selection Rule for Orbital Angular Momentum in Atomic Radiative Transitions

We demonstrate that radiative transitions with \Delta l = - 1 are strongly dominating for all values of n and l, except small region where l << n.Comment: 5 pages, 1 figur

Gravitational four-fermion interaction on the Planck scale

The four-fermion gravitational interaction is induced by torsion, and gets essential on the Planck scale. On this scale, the axial-axial contribution dominates strongly in the discussed interaction. The energy-momentum tensor, generated by this contribution, is analyzed, as well as stability of the problem with respect to compression. The trace of this energy-momentum tensor can be negative.Comment: 4 pages, few comments adde

Velocity of signal in attractive potential and propagation of light in gravitational field

The propagation of a massless field in attractive and repulsive potentials is considered. It is shown that though the group velocity in such potentials can be larger than one, the wave front propagates with the speed of light. A larger-than-one group velocity leads only to a strong deformation of the wave packet. The results obtained are applied to the light propagation in a gravitational field. An erroneous assertion concerning the last problem, recently made in the literature, is refuted.Comment: 6 pages, latex twic

Radiative Corrections to P-Levels in the Two-Body QED Problem

The physical origin of the $m\alpha^5$ radiative corrections to $P$-levels in the two-body QED problem is elucidated. Then we demonstrate that the next order, $m\alpha^6$, corrections to those levels are due to the anomalous magnetic moment only.Comment: 6 pages, PSU/TH/14

Comment on "New Experimental Limit for the Electric Dipole Moment of the Neutron"

A new limit for the neutron electric dipole moment has been recently reported. This new limit is obtained by combining the result from a previous experiment with the result from a more recent experiment that has much worse statistical accuracy. We show that the old result has a systematic error possibly four times greater than the new limit, and under the circumstances, averaging of the old and new results is statistically invalid. The conclusion is that it would be more appropriate to quote two independent but mutually supportive limits as obtained from each experiment separately.Comment: 7 pages, 2 figure

Nuclear Anapole Moments in Single Particle Approximation

Nuclear anapole moments of \;^{133}Cs, \;^{203,205}Tl, \;^{207}Pb, \;^{209}Bi are treated in the single-particle approximation. Analytical results are obtained for the oscillator potential without spin-orbit interaction. Then the anapole moments are calculated numerically in a Woods-Saxon potential which includes spin-orbit interaction. The results obtained demonstrate a remarkable stability of nuclear anapole moment calculations in the single-particle approximation.Comment: 20 pages, LateX, One figure available upon request, BINP-93-11