arXiv subjects
Publications and source records attributed to M. Secansky.
Using the description of the subprocess $γγ^*\to S(P)$ in terms of local Nambu-Jona-Lasinio model we calculate the cross sections of photoproduction of scalar and pseudoscalar mesons in high energy photon-lepton collisions processes. The dependence on the transversal momentum and the total cross sections in Weizsaecker-Williams approximation are presented.
We have noted that the electron spectrum of muon decay in the leading logarithmic approximation calculated in two lowest orders of the perturbation theory in the paper of Berman (1958), can be reproduced by the parton language. This fact permits one to generalize the result to all orders of the perturbation theory using the structure function method.
Born differential cross sections and the lowest-order radiative correction to them are obtained in the kinematics of large-angle final photons emission in high-energy electron-positron annihilation processes. Taking into account possible emission of real soft and hard photons in collinear kinematics we show the validity of the Drell-Yan form of differential cross section with the nonsinglet structure functions of initial leptons. The leading and next-to leading contribution to the cross sections is obtained. The relevant numerical estimations are presented.
The decay ϕ-> f_0(980) γand process e^+e^- -> ϕf_0(980) are considered within the local Nambu-Jona-Lasinio model. In the amplitudes of these processes contributions of s-quark and kaon loops are taken into account. The kaon loop gives a dominant contribution. Our estimation for the decay width of ϕ-> f_0 γis in satisfactory agreement with recent experimental data. This allows us to make some predictions for cross sections of the process e^+e^- -> γ^* -> ϕf_0 which can be tested in the C-τfactory. The total and differential cross sections of this process are calculated and presented in the figures.
We analyze the possibility of experimental investigation of new low-energy relations between the values of resonance masses in the meson form factors and the differential rate of radiative kaon decay $K^+\to π^+ e^+e^-(μ^+μ^- )$ at the current level of the experimental precision. A set of arguments is listed in favour of that these relations can be a consequence of weak static interactions in the Standard Model.
The hadrodynamics of the instantaneous weak interactions (IWI) in Standard Model is considered supposing the resonance nature of the chiral hadronization of quark currents in QCD. Exploiting this supposition and QCD symmetries the IWI mechanism of enhancement of the K+ --> pi+ transition probability is obtained and relations between electroweak meson form factors and the amplitudes of the processes K+ --> pi+ e+ e-(mu+ mu-,nu anti-nu) and K+ pi- --> e+ e-(mu+ mu-, nu anti-nu) are estalished. We estimate possible parameters of the K+ --> pi+ e+ e- decay rate in NA48/2 CERN experiment using the chiral perturbation theory.
Instantaneous interactions in Standard Model are derived by the resolution of the Gauss constraints in inertial reference frames defined as irreducible representations of the Poincare group. The relativistic covariant and gauge-invariant S-matrix is constructed with taking into account instantaneous interactions. Physical effects formed by the instantaneous interactions are discussed, including the enhancement in the kaon --> pion transition probability and the nonleptonic and semileptonic kaon decays. The low-energy relations between these decay probability amplitudes and meson form factors are established. Exploiting these relations we estimate possible parameters of the differential K \to πe^+ e^- decay rate in the NA48/2 CERN experiment.
Relations between differential cross section for inelastic scattering of electrons on hadrons and hadron form factors (sum rules) are derived on the basis of analytical properties of heavy photon forward Compton scattering on hadrons. Sum rules relating the slope of form-factors at zero momentum transfer and anomalous magnetic moments of hadrons with some integrals on photo-production on a hadrons is obtained as well. To provide the convergence of these integrals we construct differences of individual sum rules for different hadrons. Universal interaction of Pomeron with nucleons is assumed. We derive the explicit formulae for processes of electro-production on proton and light isobar nuclei. Sudakov's parametrization of momenta, for peripheral kinematics relevant here, is used. The light-cone form of differential cross sections is also discussed. The accuracy of sum rules estimated in frames of point-like hadrons and it is shown to be at the level of precision achievable by experiments. Suggestions and predictions for future experiments are also given.