Axial anomaly and low energy tests for instanton vacuum models in QCD

We propose to test instanton models of QCD – in particular the single instanton approximation and the Diakonov and Petrov model – against some exact relations inferred from QCD + QED axial anomaly. One of these relations, in chiral limit, is satisfied by the latter model, but not by the former one. More refined tests, obtained beyond the chiral limit, are not fulfilled by the Diakonov and Petrov model. Received: 24 November 1997 / Published online: 10 March 1998     

Optical Ceramics Synthesis in the Field of a Powerful Radiation Flux

Russian Physics Journal - On the example of YAG:Ce and MgF2:W materials, the advantages of synthesis of optical ceramics in the field of a powerful flux of high-energy electrons are shown. It has...     

Application of supersymmetry and factorization methods to solution of dirac and Schrödinger equations

The application of supersymmetry and factorization methods to the investigation of solutions of Dirac and Schrödinger equations is considered. An entire class of centrally symmetric potentials that admit exact solution of the radial Schrödinger equation is found.Physics Faculty, Tashkent State University; P. N. Lebedev Physics Institute Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 1, pp. 47–59, October, 1994.     

The Chiral Bag Model and properties of the πNΔ system

The effective Hamiltonian for theN system is proposed in the framework of the Chiral Bag Model (CBM). The taking into account of gluonic and pionic correctinos to the pion-nucleon coupling constantg _N and the-decay axial constantg _A leads tog _N 13·5,g _A 1·28 which are in good agreement with experimental data.Presented at the symposium Mesons and Light Nuclei, Liblice, Czechoslovakia, June 1981.I wish to thank Gulamov K. G., Shelest V. P. and Zinoviev G. M. for useful discussions.     

Quantum dynamics of theSU(2)-Skyrme model in Nelson stochastic mechanics

In the framework of Nelson stochastic mechanics the SkyrmeSU(2) model is quantized. A new term is added to a classical skyrmion mass. It coincides with the term obtained by Fujiiet al. by modifying the canonical quantization. This example illustrates that stochastic mechanics as an alternative method of quantization is convenient for theories with collective coordinates and for nonlinear theories, as some problems related to operator ordering and modification of canonical formalism are naturally solved.     

Formation of Luminescing High-Temperature Ceramics upon Exposure to Powerful High-Energy Electron Flux

Russian Physics Journal - It is shown that MgF2 and YAG:Ce ceramics is synthesized with a high rate from the charge with low bulk density irradiated by powerful flux of electrons with energy of 1.4...