Viacheslav V. Khruschov

• PhD
• Principal Investigator at Kurchatov Institute

We consider the current results in search for and description of temporal variations of fundamental physical constants (FPCs) obtained under laboratory and astrophysical conditions. On the basis of fixed values of base constants, those FPCs have been chosen that can exhibit variations of greatest interest from the viewpoints of physics and metrolog...

For oscillation processes involving electron and muon neutrinos, as well as for beta decay and neutrinoless double beta decay processes, the contributions of light sterile neutrinos in the characteristics of these processes are calculated. For this, estimates of the mixing parameters in the model with three active and three sterile neutrinos are ma...

This paper presents recent data on the search for and description of temporal variations of fundamental physical constants. The results were obtained using laboratory and astrophysical data. Fundamental physical constants, whose variations are of particular interest from the standpoint of physics and metrology, are analyzed according to the fixed v...

53.081:531.7 This paper presents recent data on the search for and description of temporal variations of fundamental physical constants. The results were obtained using laboratory and astrophysical data. Fundamental physical constants, whose variations are of particular interest from the standpoint of physics and metrology, are analyzed according t...

To study the oscillations of active neutrinos in the framework of the model with three active and three sterile neutrinos, the analytical expressions are obtained for the appearance and survival probabilities of different neutrino flavors taking into account the decaying sterile neutrinos contributions. In the framework of the considered phenomenol...

The current methods for realization of the second with the highest accuracy through the frequency of the hyperfine transition between two levels of the ground state of the cesium 133 atom are considered. It is discussed possible ways for the future redefinition of the SI time unit with the help of optical frequency standards, as well as thorium and...

The phenomenological model with three active and three sterile neutrinos is used for interpretation of the observed XENON1T excess of electronic recoil events in the 1 -- 7 keV energy region. Assuming two sterile neutrinos with appropriate mass values decay while the third sterile neutrino is stable it is possible to explain the observed energy spe...

Light sterile neutrinos contributions both for active neutrinos oscillations and neutrinoless double beta decay characteristics are estimated in the framework of the phenomenological model with three active and three sterile neutrinos assuming the Majorana nature of neutrino. Appearance and survival probabilities for active neutrinos with contribut...

A phenomenological model with active and sterile neutrinos is used for calculations of neutrino oscillation characteristics at the normal mass hierarchy of active neutrinos. Taking into account the contributions of sterile neutrinos, appearance and survival probabilities for active neutrinos are calculated. Modified graphical dependencies for the p...

A phenomenological model with active and sterile neutrinos is used for calculations of neutrino oscillation characteristics at the normal mass hierarchy of active neutrinos. Taking into account the contributions of sterile neutrinos, appearance and survival probabilities for active neutrinos are calculated. Modified graphical dependencies for the p...

A general Lie algebra of operators of coordinates, momenta, and Lorentz group generators is investigated. In the limiting case, it becomes the Lie algebra of operators of the canonical quantum theory. Structure constants of the general Lie algebra depend on the known constants c and h, as well as additional constants with dimensions of action (H),...

The general Lie algebra for quantum operators of coordinates, momentum, and angular momentum of a quantum particle is investigated. In the limiting case, it becomes a Lie algebra for operators of canonical quantum field theory. Relations between operators of space-time symmetries of a quantum particle are considered. Operators obey a generalized al...

Taking into account the contributions of sterile and heavy neutrinos, the probabilities of both transitions and preservation of various types of active neutrinos are considered. Modified graphical dependencies for the probability of appearance of electron neutrinos/antineutrinos in muon neutrino/antineutrino beams as a function of distance and othe...

The transition and survival probabilities for the different light neutrinos are calculated and displayed with account of the contributions of heavy neutrinos. It is shown that in the case of the mixing matrix of a definite type the explanation of the neutrino anomalies at short distances is possible. A new parametrization and a certain form of the...

Different sets of constants the fixed values of which may be selected for new definitions of the four units (kilogram, mole, ampere, and kelvin) of the International System of Units are discussed. The concept of the “order of a constant” in a given system of units is proposed. Criteria for arriving at an optimal selection of defining constants as w...

In the framework of the model with three sterile neutrinos, the transition probabilities for different flavours of neutrino are calculated and the graphical dependences are obtained, in particular, for the appearance probability of electron neutrino and antineutrino in the muon neutrino and antineutrino jets as a function of distance and other mode...

The characteristics of the gravitational collapse of a supernova and the fluxes of active and sterile neutrinos produced during the formation of its protoneutron core have been calculated numerically. The relative yields of active and sterile neutrinos in core matter with different degrees of neutronization have been calculated for various input pa...

A generalized phenomenological (3 + 2 + 1)-model with three active and three sterile neutrinos is considered for the calculation of the neutrino oscillation characteristics at normal mass hierarchy of active neutrinos and significant splitting between the mass of one sterile neutrino and the masses of other two sterile neutrinos. A new parametrizat...

The characteristics of the gravitational collapse of a supernova and the fluxes of active and sterile neutrinos produced during the formation of its protoneutron core have been calculated numerically. The relative yields of active and sterile neutrinos in corematter with different degrees of neutronization have been calculated for various input par...

Different ways of choosing the fundamental physical constants in connection with the planned transition to new definitions of the fundamental SI units (kilogram, mole, ampere, and kelvin) are discussed. Criteria for an optimum choice of the fundamental physical constants for this transition are considered. The advantages and disadvantages of the ne...

We consider a novel model for three standard families of left chiral states of quarks and leptons conjointly with a new family of dark matter fermionic particles and a sterile neutrino. It is suggested to use a SO(10) symmetry for description of these families for the first time. It is presented estimations of masses of dark matter particles and th...

A generalized phenomenological (3 + 2 + 1) model featuring three active and three sterile neutrinos that is intended for calculating oscillation properties of neutrinos for the case of a normal activeneutrino mass hierarchy and a large splitting between the mass of one sterile neutrino and the masses of the other two sterile neutrinos is considered...

We discuss different sets of defining constants, fixed values of which are considered in connection with the transition to new definitions of four SI units (the kilogram, the mole, the ampere, and the kelvin). The notion of constant's order in a given system of units is suggested. We propose an alternative set of fixed constants applicable for new...

Recent results of measurements of the Avogadro constant by the method of crystal silicon spheres in connection with the planned transition to a new definition of the basic SI unit, the mole, are discussed.

The relative yields of active and sterile neutrinos in matter with a high density and different degrees of neutronization have been calculated. A significant increase in the proportion of sterile neutrinos produced in superdense matter when the degree of neutronization approaches two has been found. The results obtained can be used to calculate the...

We discuss the role of fundamental constants and measurement data for the Planck, Avogadro and Boltzmann constants and the elementary electric charge in connection with the planned transition to new definitions of four base SI units (the kilogram, mole, ampere and kelvin) in terms of fixed values of these constants. It is proposed to choose a new d...

The relative yields of active and sterile neutrinos in the matter with a high density and different degree of neutronization are calculated. A significant increase in the proportion of sterile neutrinos produced in superdense matter when approaching the medium neutronization degree to value of two is found. The results obtained can be used in the c...

A method for determining the Avogadro constant using samples of polygraphene made up of multiple layers of graphene is studied. The properties, and methods of producing, monitoring the crystal lattice quality, and determining the geometric parameters of the new materials, graphene and polygraphene, are examined. The method proposed by Fraundorf for...

On the basis of the experimental data allowing existence of the anomalies going beyond the minimally extended Standard Model with three active neutrinos with different masses, we consider the generalized model with three active and three sterile neutrinos, one of which is relatively heavy ((3+1+2)-model). We study the basic characteristics that are...

Phenomenological relations for neutrino mixing angles, CP-phases and masses are obtained by taking into account available experimental data. In the case of CP-nonconservation in the leptonic sector a possible structure of a neutrino mass matrix is investigated and values of neutrino characteristics are evaluated. The characteristics obtained can be...

A generalized model with three active and three sterile neutrinos is considered on the basis of the experimental data, which allow existence of anomalies beyond the minimally extended Standard Model with three active neutrinos with different masses. One of the sterile neutrinos is assumed to be comparatively heavy versus two others [$(3+1+2)$-model...

Reasons for postponing the adoption of the new definitions of the SI kilogram and mole based on Resolution 1 of the 24th CGPM are discussed.

Selection of a fundamental physical constant for the purpose of redefinition of the updated SI base measurement unit according to the principle of concordance of dimensions of the constant and of the unit of measurement, when they either coincide or differ by a factor having the dimension of time, is proposed. A quantitative criterion for reconcili...

The basic characteristics used for the description of both Dirac and Majorana massive neutrinos are studied. Currently available experimental data for these characteristics are presented with an evidence of possible anomalies beyond the Standard Model with three light neutrinos. Special attention has been paid to ways to determine the neutrino mass...

The four SI base units are proposed to be redefined in two stages: first, the kilogram, mole and ampere should be defined, and then the kelvin. To realize the redefinition of a base unit of the SI in terms of fundamental physical constant (FPC), a principle of coincidence of their physical dimensions is put forward. Direct applying this principle w...

The advantages and disadvantages of the procedure of fixing the values of fundamental physical constants (FPC) for redefining the basic SI units are examined. The case in which a fixed value of the Avogadro constant is used simultaneously for new definitions of the unit of mass and the unit of the amount of matter is discussed in detail. A criterio...

The problem of neutrino mass origin is considered on the phenomenological level. The assumption is made that the neutrino mass values depend on two dominant contributions with their characteristic scales. The neutrino mass values as well as the values of the neutrino mass observables m_C, m_{\beta}, m_{2\beta} and the CP-phase {\delta} are estimate...

Advantages and disadvantages of fixation of fundamental physical constants' values for definition of SI units are considered. The case with a new definition of the mass unit on the base of a fixed value of the Avogadro constant is studied in detail. Criteria on choosing of a optimum FPC set with fixed values for the redefinition of the SI units are...

A model of color particle confinement is considered. The model is based on the Snyder-Yang algebra, which takes into account a non-commutativity of generalized momenta and coordinates of a color particle and contains two new constants. An extended kinematical invariance in a quantum phase space of a color particle gives rise to an invariant equatio...

Ways of increasing the accuracy of the values of the Planck and Avogadro constants in experiments with Watt balances and crystalline silicon spheres are examined. These are needed for the new definitions of the kilogram and mole. The advantages and disadvantages of fixing the values of a number of fundamental physical constants when introducing def...

Some trends in research on the physics underlying metrology as the science of measurement are examined. The basic problems and the prospects for their solution are analyzed. Key wordsredefinition of SI units-fundamental physical interactions and constants-unification of interactions-molecular system-equation of state

Applications of the Dirac equation with an anomalous magnetic moment are considered for description of characteristics of electrons, muons and quarks. The Dirac equation with four-dimensional scalar and vector potentials is reduced to a form suitable for a numerical integration. When a certain type of the potential is chosen, solutions can approxim...

Quantum operators of coordinates and momentum components of a particle in the Minkowski spacetime can belong to the generalized Snyder-Yang algebra and produce a quantum phase space with three new constants in the general case. With account for the O(2,6) invariance in the quantum phase space of a color particle the equation of motion is obtained,...

Quantum operators of coordinates and momentum components of a particle in Minkowski space-time belong to a noncommutative algebra and give rise to a quantum phase space. Under some constraints, in particular, the Lorentz invariance condition, the algebra of observables, including Lorentz group generators, depends on additional fundamental physical...

A neutrino mass matrix is considered under conditions of a CP invariance and a small reactor mixing $\theta_{13}$ angle. Absolute mass values for three neutrinos are evaluated for normal and inverted hierarchy spectra on the ground of data for oscillation mixing neutrino parameters and an effective neutrino mass $m_{\beta\beta}$ related to a probab...

The paper discusses possible signs of time variation in the constants for the extended standard model. Existing experimental constraints on the magnitude of the changes are given in order to allow for the possible effects on the metrological characteristics of primary standards for the units of physical quantities.

Continuous symmetries generated with observables of a quantum theory in the Minkowski spacetime are discussed. An example of an originated in this way algebra of observables is the algebra of observables of the canonical quantum theory, that is contained the Lorentz group algebra and the Heisenberg algebra of phase space operators. In the general c...

The constants in the extended standard model are considered, which includes gravitational interaction and massive neutrinos. The accuracy is compared in determining the coupling constants on various energy scales, and theoretical estimates are given for the possible time variations.

Some methods for the determination and the most precise values of constants of an extended Standard Model, which include the gravitation interaction and massive neutrinos, are presented. Accuracies of constants at different energy scales are compared and the possible manifestations of temporal variations of constants are considered. Theoretical est...

A generalized algebra of quantum observables, depending on extra dimensional constants, is considered. Some limiting forms of the algebra are investigated and their possible applications to the descriptions of interactions of fundamental particles are proposed. A relation between current and constituent quark masses is found using a modified quark...

Masses of pseudoscalar and vector mesons, which are ground states of light or/and heavy quarks and antiquarks, have been calculated in the framework of an extended model of quasi-independent quarks with absolute uncertainties about 30 MeV. It is shown that the assumption on equidistant discrete levels for a mean field energy does not contradict to...

A method of calculations of meson mass spectra in the framework of the model of quasi-independent quarks is discussed. Meson mass spectra evaluated with the help of the Dirac equation with the quasi-Coulombic potential and the confinement potential, as well as with the help of phenomenological mass formulae, are presented. Parameters of the quasi-i...

Some methods of determining the constants of the Standard Model, the values of the constants established at the present time, and the dependence of the coupling constants of the strong, electromagnetic and weak interactions on the characteristic energy of the process are presented. Possible generalizations of the Standard Model, which lead to a red...

The recent experimental data on mixing angles for quarks and neutrino have been discussed. Quarks mixing angles are calculated in the phenomenological approach of Fritzsch-Scadron-Delbourgo-Rupp (FSDR approach) using mass values of light and heavy constituent quarks. The neutrino mixing angles have been calculated with the high degree of precision...

The main versions of the redefinition for the international prototype kilogram are examined for best accuracy and transmitting the mass unit. It is concluded that it is most promising to use Avogadro’s number and the atomic mass unit in order to transfer to a new standard for the kilogram, i.e., to introduce an atomic kilogram.

Two-beta processes, both spontaneous and induced by external neutrino or electron beam, have been reviewed. These prosesses are of great interest, for search of lepton number violating channel (0nubetabeta-mode) is a path to study fundamental neutrino properties beyond Standard Model of electroweak interactions.

Methods of determination of constants of the Standard Model are considered. The constants values obtained now are presented and experiments for improving some values are pointed out. A few possible generalized models are considered together with their groups of gauge and kinematical symmetries.

Contemporary methods are presented for redefining the unit of mass standard, i.e., the kilogram prototype. The main tendencies in improving these methods in order to reduce the uncertainty of reproducing the unit of mass are discussed. It is noted that the use of precise values of a number of fundamental physical constants, primarily the Avogadro n...

A dispersion relation is derived for the azimuthal propagation of inertio-gravity and gravitational Rossby waves in a nonuniform self-gravitating system. The instability condition for the azimuthally propagating perturbations and its possible application to the formation of galaxy disk spirals is discussed. In the region where the system is stable,...

Meson mass spectra, evaluated in the framework of the relativistic model of quasi-independent quarks, are presented. Mass values are obtained with the help of numerical calculations based on the Dirac equation and by phenomenological mass formulae. The Dirac equation involves the potential, which is sum of the vector quasi-Coulombic potential and t...

Contemporary methods are considered for storage and reproduction of the dimensions of basic SI units, i.e., length, time, and mass. The main trends are discussed for improving these methods in order to reduce reproduction errors for the dimensions of units. The importance of using results of theoretical calculations for microprocess characteristics...

Mass spectra of excited meson states consisting of u-, d-quarks and antiquarks with I = 1 are considered. The comparison between the existing experimental data and the mass values evaluated with phenomenological formulae is carried out. Problems of identification of vector and scalar meson excited states are discussed.

It is shown that a universal confining potential for hadron constituents can be obtained with the help of U(1,3) symmetry in a complex phase space. Parameters of this potential are determined on the basis of spectroscopic data for hadrons and results of lattice QCD calculations. We argue that the account of the U(1,3) symmetry is important for a de...

A deformation of the canonical algebra for kinematical observables of the quantum field theory in Minkowski space-time has been considered under the condition of Lorentz invariance. A relativistic invariant algebra obtained depends on additional fundamental constants M, L and H with the dimensions of mass, length and action, respectively. In some l...

In the framework of the relativistic independent quark model with the QCD-motivated static potential, the masses of the ground states of pseudoscalar mesons and their radial excitations are calculated for both observed mesons and unobserved ones. The strength of the spin-spin interaction and the magnitude of the mean field contribution are estimate...

In the framework of the relativistic independent quark model the parameters of the QCD-motivated static potential and the quark masses are calculated on the basis of the 1−− meson mass spectra. The value of the confining potential coefficient is found to be (0.197±0.005) GeV2 for quark–antiquark interaction independently on their flavours. The depe...

The theory of ionospheric Alfvén resonator (IAR) and IAR feedback instability is reconsidered. Using a simplified model of the topside ionosphere, we have reanalyzed the physical properties of the IAR interaction with magnetospheric convective flow. It is found that in the absence of the convective flow the IAR eigenmodes exhibit a strong damping d...

The half-life with respect to two-neutrino double-beta (2νββ) decay to the final ground state is calculated under the assumption of single-state dominance. To the best of our knowledge, the energy denominators of perturbation theory are considered for the first time without invoking any approximation. The results obtained for the experimentally int...

A new model of the ionospheric Alfvén resonator (IAR) including the effect of wave frequency dispersion is presented. It is shown that the shear Alfvén waves in the IAR are coupled to the compressional mode through the boundary conditions at the ionosphere. This coupling results in the appearance of the Hall dispersion and subsequent shift of the I...

The extended space-time symmetry groups for the generalized quark fields (GQF's), which takes into account addi- tional constants with the dimension ofmass, length and action, are considered under the condition ofexact Lorentz invariance. The symmetry properties ofGQF's are clarified with respect to P − , C− and T − transformations. The relations b...

Parameters of the QCD-motivated static potential are evaluated on the basis of 1−− meson mass spectra. Their values are found to be with high precision the same for different quark-antiquark interactions independently on the quark flavours. Using these universal parameters the renormalization group invariant masses of quarks are calculated. It is a...

A modified method for determining the strong coupling constant α S is described in the framework of a generalized quark field model. The method makes it possible to match the values of α S at small distances with the data on the heavy quarkonium decay widths and to improve the accuracy of calculations of α S at large distances (the string tension σ...

The universality hypothesis for scalar confining potential between quark and antiquark with different flavours is confirmed within 0.05 level of relativity errors.

A method for determination of strong interaction constants is considered. The method is based on the relativistic potential model with phenomenological selection rules. The strong coupling constant evaluation error in a nonperturbative region is 5·10 -2 . Within this error the flavour independence hypothesis for the confinement potential is confirm...

Parameters of the QCD-motivated static potential and the quark masses are calculated on the basis of the 1 −− meson mass spectra in the framework of the relativistic independent-quark model based on the Dirac equation. The value of the confining potential parameter is found to be (0.20 ± 0.01) GeV 2 for interactions between quarks and antiquarks in...