Laplace method for the diagrams of elastic scattering in the model of multiparticle fields

In this paper we show how the differential cross-section of elastic proton scattering can be calculated from the square of the transmitted four-momentum using the model of multiparticle fields. We consider a single-loop diagram and the corresponding analytical expression for this loop. This expression contains a multidimensional integral over virtual four-momentum, which we calculate using the Laplace method. These multidimensional integrals were reduced to two-dimensional or one-dimensional and then were calculated numerically. A qualitative correspondence of the differential cross section to the experimental data is obtained. Achieving a quantitative match with the experiment requires taking into account more loop diagrams.Comment: 50 pages, 12 figures, in Ukrainia

Solar axions as an energy source and modulator of the Earth magnetic field

We show existence of strong negative correlation between the temporal variations of magnetic field toroidal component of the solar tachocline (the bottom of convective zone) and the Earth magnetic field (Y-component). The possibility that hypothetical solar axions, which can transform into photons in external electric or magnetic fields (the inverse Primakoff effect), can be the instrument by which the magnetic field of convective zone of the Sun modulates the magnetic field of the Earth is considered. We propose the axion mechanism of "solar dynamo-geodynamo" connection, where an energy of axions, which form in the Sun core, is modulated at first by the magnetic field of the solar tachocline zone (due to the inverse coherent Primakoff effect) and after that is absorbed in the liquid core of the Earth under influence of the terrestrial magnetic field, thereby playing the role of an energy source and a modulator of the Earth magnetic field. Within the framework of this mechanism new estimations of the strength of an axion coupling to a photon (ga_gamma about 5*10^-9 GeV^-1) and the axion mass (ma ~ 30 eV) have been obtained.Comment: 13 pages, 3 figure

KamLAND-experiment and Soliton-like Nuclear Georeactor. Part 1. Comparison of Theory with Experiment

We give an alternative description of the data produced in the KamLAND experiment, assuming the existence of a natural nuclear reactor on the boundary of the liquid and solid phases of the Earth's core. Analyzing the uncertainty of antineutrino spectrum of georeactor origin, we show that the theoretical (which takes into account the soliton-like nuclear georeactor) total reactor antineutrino spectra describe with good accuracy the experimental KamLAND-data over the years of 2002-2007 and 2002-2009, respectively. At the same time the parameters of mixing ({\Delta}(m21)^2=2.5\cdot 10^-5 eV^2, tan^2{\theta}12=0.437) calculated within the framework of georeactor hypothesis substantially differ from the parameters of mixing ({\Delta}(m21)^2=7.49\cdot 10^-5 eV^2, tan^2{\theta}12=0.436) obtained in KamLAND-experiment for total exposure over the period of 2002-2009. By traingulation of KamLAND and Borexino data we have constructed the coordinate location of soliton-like nuclear georeactors on the boundary of the liquid and solid phases of the Earth core. Based on the necessary condition of full synchronization of geological (magnetic) time scale and time evolution of heat power of nuclear georeactor, which plays the role of energy source of the Earth magnetic field, and also the strong negative correlation between magnetic field of the solar tachocline zone and magnetic field of the Earth liquid core (Y-component) we have obtain the estimation of nuclear georeactor average heat power ~30 TW over the years 2002-2009.Comment: 50 pages; 17 figures; 1 table. A substantially revised, corrected and enhanced editio