[en] A general form of the angular dependence in the process γq → Xq with an arbitrary polarized initial particles is obtained. In the case of the unpolarized final quark this dependence is determined by the four structure functions, which are calculated for processes γq → Q anti Qq and γq → gq. It is shown that possible breaking of T-invariance in gQ anti Q vertex do not lead to new angle dependences

[en] Differential and total cross sections of heavy quark pair production in electron-nucleon and neutrino-nucleon (at the expense of neutral weak currents) collisions are obtained. A supposition is made that gluon of the initial hadron, which interacts with leptons, possesses a zero spin. The dependence of differential cross section on azimuthal angle of quark escape (relative to the plane of lepton scatrering), and on parameter of virtual photon (or Z-boson) polarization. Contributions made by leptons into structure functions of deep-inelastic scattering of leptons, which are conditioned by heavy quark pair production on scalar gluons, are calculated. Scalar gluons make a greater contribution in photoproduction of J/phi-particles, than the vector ones by 5- 10% at that, they do not considerably affect the energy dependence of total cross section

[en] Differential and total cross sections of the q anti q → Q anti Q (q-light quark, Q-heavy quark) and gg → Q anti Q (g-gluon) processes with account of anomalous chromomagnetic moment K of heavy quark are determined. The small positive K value decreases the cross section of the q anti q → Q anti Q process and increases the cross section of the gg → Q anti Q process. At small negative K the cross section of the q anti q → Q anti Q process increases and that of gg → Q anti Q process decreases. Large K values result in sharp increase of both cross sections. It is shown that the present experimental data on hadron production of J/psi mesons admit the evaluation k <1-1.5 for anomalous chromomagnetic moment of c-quark

[en] Three formulations of the one dimensional nilpotent classical mechanics are given: Lagrange, Hamilton and Hamilton-Jacobi. The nilpotent part of the Lagrangian or Hamiltonian fully describes the nilpotent system. New nilpotent Poisson brackets are found. The Hamiltonian of SUSY mechanics is obtained

[en] Production of large-psub(t) scalar (O⁺⁺) and pseudoscalar (O^+-) glueballs in hadronic collisions is investigated. The contribution of subprocesses q anti q → Gg, gq→Gq, gg→Gg i s taken into account. The analysis is provided by using the helicity formalism. Helicity amplitudes and differential cross sections of glueball production for various beams and targets are obtained. It is shown that mechanisms considered lead to linear polarization of the final gluon jet, even if initial particles are unpolarized. For this case a density matrix of the final gluon is obtained. This sign of the polarization depends on th parity of the glueball and opposite for subprocesses q anti q →Gg and gg→Gg

[en] The theory and experiments on superpartners searches are considered. Theoretical estimates make it possible to choose the most promising processes from the experimental point of view. Experimental technique are briefly discussed. The analysis of the modern experimental situation allows one to obtain low values of superpartner masses

[en] The processes, where superpartners: e⁺e^- → l-barl-bar*, e⁺e^- → γ-barZ-bar, e⁺e^- → Z-barZ-bar, e⁺e^- → W-barW-bar, e⁺e^- → γ-barγ-bar, e⁺e^- → γγ-barγ-bar, e⁺e^- → q-barq-bar*, e⁺e^- → q-barq-barq-bar, e⁺e^- → q-barq-bar* and e⁺e^- → qq-bar*γ-bar can be produced, are considered. Data on the cross sections of the given processes are discussed. Parameters of modern and developing accelerators, which can be used to search for supersymmetric partners, are presented

[en] P-odd effects for γπ→ππ and eπ→eππ processes are studied. Maximum value of P-odd effects for γπ→ππ reaction is achieved in rho resonance. As+muthal asymmetry, caused by longitudinal polarization of photon of 10^-4 order at phi approximately 1 deg. P-odd effects in γπ⁰→π⁺π^- reaction are equal to zero at thetasub(π)=π/2. Taking into account neutral weak currents a differential cross section of eπ→eππ process with polarized initial electrons is found. P-odd amplitude Zn→ππZ' is approximated by f-meson contribution. The highest value of P-odd effects for eπ⁰→eπ⁺π^- process is achieved in f-resonance where they are 0.1-3%. In eπ⁺→eπ⁰π^+- reaction P-odd effects are 1-2 order less

[en] All finite transformations of the N = 2 superconformal semigroup are obtained. They are classified into three types of terms of the permanent of the odd-odd part of transition supermatrix. Only the type I corresponds to N = 2 superconformal group, the rest two types belong to the ideal of N = 2 superconformal semigroup, underlying transformation for them is degenerated. All transformations are characterized by nontrivial topology both in odd and in even nilpotent sector

[en] The energy and angle distributions of Q anti Q-pair are found in the processes q anti q → Q anti Qg in the framework of a tree approximation where g is a gluon, q=u, d, s are light and Q is heavy quarks. The quantitative analysis of various Q anti Q-pair distributions in hadronic collisions is carried out. Differen-- tial cross sections of the processes are determined