[en] It is considered the most general scattering process between neutrino (of any kind) and any fermion target. It is also considered the scattering process between antineutrino and fermion targets. Four general relations are given. (author)

[en] The two Froissart-Martin high-energy upper bounds for forward and non-forward scattering are combined into one formula under the additional assumption that the scattering amplitude is polynomially bounded in energy for fixed scattering angles inside the Lehmann-Martin ellipse. The method used represents a modification of that of Kinoshita, Loeffel and Martin. The analogous bound for the scattering of particles with spin is obtained as well. Using the same method, a bound for the case of complex scattering angles is also derived and ways leading to its improvement by using the solution of the Dirichlet problem are suggested. (author)

[en] The N-point functions for the p-adic version of the bosonic open-string theory are derived and discussed. The cases N = 5 and 6 are explicitly calculated, and lead to simple (factorizable) formulas from which the general N case can be formulated

[en] In the approach in which the spin is neglected and two parts fragmentation is supposed, the Mandelstam-Sommerfeld-Watson transformation for nuclear fission is written. (author)

[en] Appendix A summarizes relativistic kinematics formulas for the binary reaction 1 + 2 → 3 + 4, which are used in the main part of the monograph. The Mandelstam variables (kinematic invariants) s, t, u are defined. A formula is derived expressing the dependence of the momentum of particles during a collision in a centre-of-gravity system on the kinematic invariant s and rest masses. Also derived is a formula for the relative velocities of two particles during a collision. (Z.J.)

No abstract available

[en] Summation of all logarithms of the Mandelstam type diagram in the phi⁴ theory has been carried out in the α-representation. It is shown that in spite of an absence of rapid decreasing of the scattering amplitude beyond the mass surface the rescattering of both the Regge poles and the fixed root branchings arising in the phi⁴ theory alongside the Regge poles is described by a usual formula. The principal result of the paper is the confirmation of the fact that the singularity in the point j = α₁ + α₂ - 1 due to ''rescattering of reggeons'' is typical not only for theories with sufficiently fast decreasing of scattering amplitudes with increasing external masses, but also for theories in which such decreasing is absent. As an example, it is shown on the Mandelstam type diagram in the phi⁴ theory. However it is clear that this conclusion is also true for the fermion Yukawa interaction with scalar, pseudoscalar and neutral vector exchanges. In this sense one of the main suppositions of the Gribov ''reggeon technique'' appears to be superfluous

[en] We prove that the location -2 + α₃(Delta-arrow-right) of the three-particle Regge pole in phi³ theory obeys α₃(0) > 2.229271492 4α (0), where -2 + α (0) is the position of the Reggeon-particle cut

[en] A class of light-cone integrals typical to one-loop calculations in the two-component formalism is considered. One finds type of integrals in the evaluation of one-loop diagrams, such as the 'swordfish' diagrams. The results cannot be expressed as a finite sum of elementary functions, but convergence is verified for the particular cases considered. (G.D.F.)

[en] Dispersion relations in nonlocalized theories with exponential amplitude growth in pulse space were obtained in the assumption, that they were analytical in twice cut plane with respect to variable energy and satisfied some additional conditions