The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen

The contribution from the axial-vector meson exchange to the potential of the muon-proton interaction in muonic hydrogen induced by anomalous axial-vector meson coupling to two photon state is calculated. It is shown that such contribution to the hyperfine splitting in muonic hydrogen is large and important for a comparison with precise experimental data. In the light of our result, the proton radius "puzzle" is discussed.Comment: 14 pages, 2 figure

The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms

The calculation of hadronic polarizability contribution of the nucleus to hyperfine structure of muonic hydrogen and helium is carried out within the unitary isobar model and experimental data on the polarized structure functions of deep inelastic lepton-proton and lepton-deuteron scattering. The calculation of virtual absorption cross sections of transversely and longitudinally polarized photons by nucleons in the resonance region is performed in the framework of the program MAID.Comment: 8 pages, 3 figures, Talk presented at 23th International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP 2017

Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to $r_N^2$ from two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic hydrogen, as well as the photon-photon interaction amplitudes, leading to the exchange of the axial vector meson. In constructing the quasipotential of the muon-nucleus interaction, we use the method of projection operators on states of two particles with a definite spin and total angular momentum. Analytical calculation of the matrix elements is performed and contributions to the fine and hyperfine structure of the $2P_{1/2}$ and $2P_{3/2}$ levels are obtained.Comment: 16 pages, 2 figure

The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model

The contribution of axial-vector mesons to the muon's anomalous magnetic moment through a light-by-light process is considered within a nonlocal quark model. The model is based on a four-quark interaction with scalar--pseudoscalar and vector--axial-vector sectors. While the transverse component of the axial-vector corresponds to a spin-1 particle, the unphysical longitudinal component is mixed with a pseudoscalar meson. The model parameters are re-fitted to the pion properties in the presence of pi-a_1 mixing. The obtained estimation for the light-by-light contribution of a_1+f_1 mesons is (3.6+-1.8)*10^{-11}.Comment: 18 pages, 10 figures, final version accepted for publication in Physical Review

Implementation of the Russian state armaments program 2011-2020 : economic and financial analysis

The State Armaments Programme (SAP) is a set of industrial, military, political, economic and financial measures aimed at the increase in the country’s defense capacity. The subject of economic analysis of this article is the SAP-2020 adopted in December 2010 and covers a period from 2011 to 2020 which is now at the final stage of its implementation. On studying the SAP-2020 the authors revealed such key indicators as economic viability and financial efficiency of programme implementation. A comparative analysis of budget funding of the similar US programme was conducted and statistical data supporting the main findings of the study were introduced. The authors used a wide range of methodological tools in the course of the study. The method of economic analysis, the method of structural analysis, the statistical method and the method of mathematical comparison were used.peer-reviewe