Neutron Moderation Theory Taking into Accout the Thermal Motion of Moderating Medium Nuclei

In this paper we present the analytical expression for the neutron scattering law for an isotropic source of neutrons, obtained within the framework of the gas model with the temperature of the moderating medium as a parameter. The obtained scattering law is based on the solution of the kinematic problem of elastic scattering of neutrons on nuclei in the L-system in the general case. I.e. both the neutron and the nucleus possess the arbitrary velocity vectors in the L-system. For the new scattering law the flux densities and neutron moderation spectra depending on the temperature are obtained for the reactor fissile medium. The expressions for the moderating neutrons spectra allow reinterpreting the physical nature of the underlying processes in the thermal region.Comment: 26 pages, 6 figure

Experimental evidence of dark matter axions identical to solar axions and the absence of the "fifth" carrier force for the Higgs field

The complete "experimental" proof of the existence of axion luminosity and trapped ADMs in the interior of the Sun is the reason for the formation of hot dark matter axions (see modified Turner model (1987) with a critical density fraction of $\Omega_{axionHDM}^{thermal} \sim 0.32$ at a mass of $\sim6~eV$) between inflation and Big Bang nucleosynthesis, which are further transformed into mixed dark matter between Big Bang nucleosynthesis and the cosmological microwave background (CMB) in the form of $\left[ \Omega_{axionHDM}^{thermal} \right]_{\sim 0.32} = \Omega_{ADM} + \Omega_{baryon}$ and $\left[ \Omega_{axionHDM}^{thermal} \right]_{axiogenesis} = \Omega_{axoinWDM}^{coherent} + \Omega_{baryon}$, where the first term 5 GeV ADM is the result of the decay of the partially composite dark matter of the Higgs boson, in which there is a remarkable absence of the "fifth" carrier force for the Higgs field in the Universe, and the second term $\Omega_{axoinWDM}^{coherent} \sim 4.5 \cdot 10^{-5}$ is associated with the mass of $\sim 3.2 \cdot 10^{-2} ~eV$ of coherent axions of warm dark matter, which are identical to solar axions with the same mass (Rusov et al. 2021).Comment: 28 pages, 7 figure

GEANT4 simulation of the moderating neutrons spectrum

The probability and intensity of nuclear reactions involving neutrons are characterized by the corresponding reaction cross-sections which are known to depend strongly on the incident neutron energy. In real applications the neutrons are seldom or never monoenergetic, and are usually characterized by certain continuous energy spectrum. The detailed knowledge of the neutron spectrum is crucial for numerous applications such as the nuclear reactor operation, the traveling wave reactor (TWR) development, including the search of the neutron energy ranges suitable for the wave nuclear burning, the search and prediction of the so-called "blowup modes" in neutron-multiplying media, the verification of neutron moderation theories and so on. In this paper we describe a method of GEANT4-based Monte Carlo calculation of the neutron spectrum evolution as well as the steady-state neutron spectrum in a system containing a persistent neutron source.Comment: 18 pages, 10 figure