abstract

In the framework of the reggeon theory with dipole Pomeron the secondary reggeon propagator is studied and the anomalous dimension is evaluated for different structures of an input reggeon and also for different types of its interaction with Pomeron The results obtained are compared with the experimental data on the \(\varrho \)-reggeon exchange.

abstract

After showing that the CP\(^1\) model factorizes we obtain the \(S\)-matrix for fundamental fields and bound states.

abstract

The aim of this paper is to give a review of facts and results on “multidimensional universes” which form the basis for Kaluza–Klein theories. The paper contains a survey of the theory of fiber bundles, a discussion of invariant metrics on groups and homogeneous spaces and a survey of results on topology and metric of multidimensional universes relevant for Kaluza–Klein theories.

abstract

The polarization of the non-valence components of the proton is discussed. The spin–spin asymmetry in two different processes with polarized incoming protons is taken as a probe of the problem. The first is the Drell–Yan process which is calculated with next-to-leading corrections for models with polarized and unpolarized sea. The second is the direct photon production at large \(p_{\rm T}\), where at the Born level the gluon distribution plays a dominant rôle.

abstract

An exactly solvable quantum mechanical model is further discussed, where leptons and quarks of higher generations are excited states with respect to small oscillations around an equilibrium realized within leptons and quarks of the first generation (considered as composite systems). The model predicts elements of Kobayashi–Maskawa matrix in consistency with recent experimental data, if the Cabibbo angle is used as an input. The heavier the top quark is, the smaller are the mixing angles of higher quark generations. The hypothetical next charged lepton is predicted unambiguously at 28.5 GeV.

abstract

A method is given for calculations of the fractional parentage coefficients (FPC) for separation of six lp-shell nucleons with the space symmetry [42] or [411]. It is shown that the FPC’s \(\left \lt p^n|p^{n-6},\,p^6\,[42]\right \gt \) and \(\left \lt p^n|p^{n-6},\,p^6\,[411]\right \gt \) may be written as a product of the weight factor, orbital and isospin-spin coefficients. The compact foimulas which express the six-nucleon FPC’s thtough two and four-nucleon ones are presented. The orbital coefficients, together with the weight factors, ai e calculated and tabulated.