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

Diffractive Scattering: Problems in Theory and Praxis

A concise survey of problems in modern strong interaction physics at high energies is given.Comment: 7 page

Breaking a "poor man" RG approach in the Luttinger liquid with one impurity

Using derived previously effective theory we explore conductance in the Luttinger model with one impurity. A new approach to the renormalization group (RG) analysis of this model is developed. It is based on the original Gell-Mann-Low formulation of RG. We sum up infrared logarithmic contibutions to conductance in the leading and few subsequent approximations. We analyze the validity of widely used ``poor man's'' scaling approach and find that it is applicable only in the leading approximation. Our results for corrections to this approximation are different from results obtained in other papers. It should be expected beforehand, as Gell-Mann-Low function of the model is not regularization scheme invariant. For this reason the observed quantity (e.g., conductance) can not satisfy the Gell-Mann-Low equation beyond the "leading-log"\ approximation as it is supposed in the "poor man's" approach. We formulate the method to calculate the conductance from renormalized hamiltonian in the post-leading approximations and match results to the case of weak impurity where the answer is known in any order in electron-electron interaction.Comment: 28 pages, 4 figures. Corrections and extensions as compared to previous version. This is a version published in journa

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

The interval description of dynamics of celestial bodies in the planetary problem

The interval approach to computation of dynamics of celestial bodies in the planetary problem has been considered. It is based on the refusal from idealization of infinitely high resolving capacity of measuring tools, and forms an absolutely exact algorithm free of round-off error accumulation effect. The possibilities of the proposed approach are shown by the examples of Kepler's Problem and the problem of stability of the Solar system major planets for time interval of 6 billion years. The comparison of the interval and classical predictions of Kepler's particle location in Kepler's orbit provides support for the effect predicted by the theory, namely - conservation of the interval within which the values of difference of interval and classical coordinates lay with time. The computational results of the Solar system major planet orbital dynamics agree with the results obtained with the classical approach.Comment: 6 pages, 7 figure

Combinatorial and Probabilistic Formulae for Divided Symmetrization

Divided symmetrization of a function $f(x_1,\dots,x_n)$ is symmetrization of the ratio $$DS_G(f)=\frac{f(x_1,\dots,x_n)}{\prod (x_i-x_j)},$$ where the product is taken over the set of edges of some graph $G$. We concentrate on the case when $G$ is a tree and $f$ is a polynomial of degree $n-1$, in this case $DS_G(f)$ is a constant function. We give a combinatorial interpretation of the divided symmetrization of monomials for general trees and probabilistic game interpretation for a tree which is a path. In particular, this implies a result by Postnikov originally proved by computing volumes of special polytopes, and suggests its generalization

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

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