Resonant mesomolecule formation

The dtm and ddm resonant fusion rates are calculated taking into account finite resonance width and subthreshold resonances. Calculations do not use multipole expansion of the potential. The obtained ddm resonant fusion rates are compared with recent data at 30-360 K.Comment: 3 pages, 2 figure

Einstein, Hilbert and Equations of Gravitation

Some highlights of the priority in the discovery of the gravitational field equations are given.Comment: Plenary talk presented at Workshop on High Energy Physics&Field Theory (Protvino, Russia, 2004

The Gauss Map of Hypersurfaces in 2-Step Nilpotent Lie Groups

In this paper we consider smooth oriented hypersurfaces in 2-step nilpotent Lie groups with a left invariant metric and derive an expression for the Laplacian of the Gauss map for such hypersurfaces in the general case and in some particular cases. In the case of CMC-hypersurface in the (2m+1)-dimensional Heisenberg group we also derive necessary and sufficient conditions for the Gauss map to be harmonic and prove that for m=1 all CMC-surfaces with the harmonic Gauss map are "cylinders"

On a number of rational points on a convex curve

Let $\gamma$ be a bounded convex curve on a plane. Then $\sharp (\gamma\cap (\Z/n)^2)=o(n^{2/3})$. It streghtens the classical result of Jarn\'\i k (an upper estimate $O(n^{2/3})$) and disproves a conjecture of Vershik on existence of the so-called {\it universal Jarn\'\i k curve}.Comment: 8 pages, submitted to FA

On the phase of the off-shell scattering amplitudes

We prove that the phase of the partial wave amplitude does not depend on the off-shell 4-momentum squared of one of the scattered particles.Comment: 2 pages, latex fil

Nucleon Spin Puzzle: Ten Years Later

This is a brief survey of the present state of ideas concerning the parton content of the nucleon spin after their ten-years evolution since the discovery of the EMC.Comment: 5 pages, latex fil

Random membrane model for lattice gluodynamics

odel for studying coupling dependence on lattice spacing a in gluodynamics is suggested. The model predicts $g-> g_{0}>0 with a->0. Free energy density in the model does not depend on temperature

Spatial string tension in gluodynamics at finite temperature in a spherical model approximation

Spatial string tension is computed in finite temperature gluodynamics on asymmetric lattices in a spherical model approximation. Conditions of scaling behavior are specified. Discrepancies with a standard renormalisation procedure are discussed.Comment: 13 pages, revte

Plenary talk presented at Workshop on High Energy Physics&Field Theory (Protvino, Russia, 2004)

The problems concerning a possible discovery of the mini block holes at earthly accelerators are discussed.Comment: Plenary talk presented at Workshop on High Energy Physics&Field Theory (Protvino, Russia, 2004

On the Soviet Contribution to the Discovery of Quark Color (Against One False Revision)

A critical discussion of recent attempts to revise the modern physics history is presented.Comment: 5 page