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Karpeichik ?.V.,Kurochkin Yu.A., Mazurenko O.N.,
Orlovich V.A.
The Support of Researches in the Fields of
Theoretical Physics, High Energy Physics and
Nuclear Physics by Belarusian Republican
Foundation of Fundamental Investigations (BRFFI)
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BRFFI

• Content
• 1. What is BRFFI
• 2. BRFFI for researches in the fields of
  theoretical physics, high energy physics and
  nuclear physics
• 3. Some results of the projects in the fields of
  theoretical physics, high energy physics and
  nuclear physics
• Conclusion

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BRFFI
The general number of the projects which has been
supported in the during of the activity of the
BRFFI is 93. Among them 30 international projects
with participation of scientists from Russia -
22, Ukraine -5, Italy- 1, France-1, Slovenia-1.
15 projects for yang scientists especially
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• Distribution of the numbers of projects on the
  Institutions and Universities

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BRFFI

• B.I. Stepanov Institute of Physics of NAS 38
  ????????
• JINER-Sosny of NAS 15
• Institute of the Nuclear Problems BSU 11
• F. Skaryna State University 8
• P. Suchoi Technical State University 8
• NC PHEP BSU 6
• BSU 3
• Institute of Mathematics of NAS 2
• BSPU 1
• BATSU 1.

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BRFFI

• Distribution of the numbers of projects on the
  years of the realization

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BRFFI

• ?9-131 Fedorov F.I.
• B.I. Stepanov Institute of Physics of NAS
• Nonlinear Universal Equations as a Common
  Mathematical Base for Quantum Relativistic Field
  Dynamics Description
• Several classes of multi-periodical soliton-like
  solutions and conditions of solutions stability
  for universal nonlinear matrix differential
  equations were found. Polynomial representation
  of Cartan forms for Skirme model and solutions of
  equations described different particles in
  external flelds in the framework of instanton
  approach were obtained. Linear vector
  parametrization of quantum SUq and the Lorentz
  group was constructed. Predictions of modified
  models of electro-weak interaction theory for
  next generation of electron-positron colliders
  were calculated

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BRFFI

• Bogush A.A. B.I. Stepanov Institute of Physics of
  NAS
• 1.?94-072 Investigation of basic laws and
  characteristic properties of kinematics and
  dynamics of elementary particles (Theory and
  experiment).
• 2. ?96-155 Theoretical study of symmetry
  (asymmetry) properties and determination of the
  experimentally observed characteristics of
  physical systems and microobjects.
• 3. ?42-040 Development and applications of
  contemporary methods for investigation of
  processes and effects of elementary particle
  interactions as a source of information about
  microstructure of matter
• 4. ?98-229 The algebraic structure of physical
  spaces and characteristics particles and
  processes their interactions.

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BRFFI

• A new approach to the q-deformation procedure of
  the simplest classical symmetry groups and their
  Lee algebra's, based on the use of the special
  composition rule for group vector-parameters and
  corresponding linearity relations, is developed.
  In the framework of the earlier constructed
  axiomatic theory of the vectors of space of
  constant curvature, a new mathematical apparatus
  for description of the models of compound
  physical systems is developed. An approach to the
  solution of the quantum-mechanical Kepler problem
  in the spaces of constant curvature, which is the
  same for all spaces and is based on the use of
  the algebras of conserved operators, is
  formulated. A covariant algebraic formulation of
  the conversation law of the total relativistic
  angular momentum for arbitrary continuous
  systems, based on the earlier elaborated
  operations of relativistic vector algebra, is
  derived. In the framework of the two-dimensional
  conformal invariant field theory over hyperbolic
  complex numbers the Virasoro algebra relations
  are derived by using operators formalism the new
  discrete symmetry operation which leads to the
  change of sign of the central charge is found.
  The new tests for violation of the combined
  parity (CP-symmetry) conservation in the leptonic
  sector of the Standard Model is established. The
  new experimental restrictions on the values of
  high energy cosmic neutrino flows are obtained in
  the framework of the international scientific
  collaboration EAS-TOP (Gran Sasso, Italy). The
  new adequate theoretical models are proposed for
  description of both elastic and inelastic Compton
  scattering of photons on deuterons, which are
  used in new experiments on the measurements of
  neutron polarizabilities.

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BRFFI

• The leaders of other projects which has been
  realized in the B.I, Stepanov Institute of
  Physics
• are Tomilchik L.M., Rudak E.A., Kilin S.Ya,
  Levchuk M.I.,Kurochkin Yu.A., Khilimanovich A.M.,
  Redkov V.M. Marcynkevich B.A., Berestov A.V.,
  Tolkachev E.A., Korbut T.N., Satsunkevich I.S.,
  Shulyakovsky R.G.Bukach A.A.

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BRFFI

• ?06-129 Phenomenological models with noneuclidean
  metric for astrophysics and physics of
  quantum-size structures. Tomilchik L.M.
• It is shown that the anomalous violet frequency
  shift discovered in signals from the spacecrafts
  Pioneer 10/11 can be interpreted as the local
  manifestation of the cosmological expansion.
  Supposing the quadratic coordinate dependence of
  the conformally flat metric the exactly solvable
  two-dimensional analogs of Klein-Gordon and Dirac
  equations with the coordinate-dependent mass are
  obtained. A consistent one-particle theory of
  motion of spinning test particles in
  gravitational fields is developed on base of
  Foldy-Wouthuysen representation. A calculation of
  observable effects of gravitational interaction
  of relativistic spinning particles and their
  spins is carried out by example of rotating and
  uniformly accelerated frames. Within the
  framework of the scalar-tensor gravitational
  theory in Minkowski space-time the approximate
  field equations solutions are obtained and used
  for description of test particle motion effects
  and cosmological expansion. The energy spectrum
  and wave functions for a three-dimensional
  quantum dot are obtained in a quantum-mechanical
  model with the negative space curvature. The
  description of the triplet states of quarkonium
  is given in model with the positive curvature of
  relative space with correct account of the spin
  interactions

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BRFFI

• ?05-168
• Investigation of nucleon Compton scattering in
  the framework of the linear s-model and
  dispersion relations Levchuk M.I. B.I. Stepanov
  Institute of Physics of NAS
• In the framework of the linear s-model, the
  amplitude of nucleon Compton scattering is
  analyzed and nucleon structure constants are
  calculated. The difference of the nucleon
  polarizabilities is calculated making the use of
  the dispersion relations with allowance for s-
  and t-channel contributions. To saturate the
  dispersion integrals, the most modern
  experimental information on the amplitudes for
  the reactions gg -gt pp and pp -gt NN. Our result
  for difference of the nucleon polarizabilities is
  in good agreement with experimental value.
  Unpolarized and polarized observables in all
  channels of the reaction d(g,p)NN are calculated.
  We find satisfactory description of available
  experimental data. A comparison with predictions
  of other works is given.
• Review of Particle Physics, v. 33, 2006 p. 954
  965.

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BRFFI

• ?05-212
• The effects of monopole connections. Theory and
  experiment. Kurochkin Yu.A. B.I. Stepanov
  Institute of Physics of NAS
• In the framework of the two potentials
  formulation of the equations of classical
  electrodynamics their new solutions (equations of
  zero field) are obtained. A new kind of the
  duality between potentials and sources electrical
  and magnetic type which differs from standard
  duality of the Maxwell equations with two sources
  is set up. The quantum mechanical scattering
  problem of charged particle by the dual charged
  Coulomb field in the space of constant negative
  curvature 1S3 is considered. In the case of the
  dyon potential with an additional centrifugal
  term (MIC-Kepler problem), the exact solution of
  the Schrodinger equation in parabolic coordinates
  is used to determine the scattering amplitude and
  expression for the differential cross section.
  Regge-analysis of the scattering amplitude is
  realized. It has been set up that for searching
  of the magnetic monopoles in the experiments on
  the modern accelerators the two photons mechanism
  of the creation of the monopole-antimonopole
  pairs should be taking in to account. On the base
  of the heuristic dual symmetry arguments the
  cross section of the creation of the
  monopole-antimonopole pairs are estimated in the
  propositions of the 0, 1/2, 1 monopole spins

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• The leaders of the projects which has been
  realized in the JINER-Sosny of NAS
• are Kuvshinov V.I., Babichev L.F., Galynsky M.V.,
  Sukhovitsky E.Sh., Kuzmin A.V.

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BRFFI

• ?04-307
• Investigation of the parton-hadron phase
  transition in processes occurring with
  quark-gluon plasma formation Babichev L.F.
  JINER-Sosny of NAS
• The generalized Ginzburg-Landau model have
  been developed for study of the parton-hadron
  phase transition effect on multiplicity
  fluctuations, on effects of intermittency and jet
  quenching and calculation of different
  correlation characters for processes with large
  power denseness on reacting and building
  accelerators. It is shown that for the consent
  with modern experimental data, at description of
  the QGP ? hadron phase transition it is necessary
  to use the potential implementing catastrophe
  "assembly" in squeezed state representation. It
  is shown that dependence on generalized
  Ginzburg-Landau model parameters weakens with
  growth of the squeezing factor. It is carried out
  fitting of the experimental data of the NA36 and
  STAR collaborations on multiplicity distributions
  with use of the software package MINUIT and
  theoretical model. Optimal parameters of model
  are supervised at which effects of a temperature
  hysteresis and jet quenching, inherent a
  Quark-Gluon plasma, are observed. Results
  obtained have fundamental scientific character
  and are oriented on applications at study of the
  possibility of originating of a new condition of
  substance - a Quark-Gluon plasma

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BRFFI

• The leaders of the projects which has been
  realized in the Institute of the Nuclear Problems
  BSU
• are Baryshevsky V.G., Maksimenko S.A., Borodich
  A.I.,Korzhik M.I.,Metelica O.N., Shuba M.V.,
  Bondarev I.V., Drobyshev G.Yu., Radionova V.N.

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BRFFI

• ?06?-074
• Neutron optics of the noncentrosymmetric crystals
  near the condition of the Bragg reflection and
  new methods of a search for the electric dipole
  moment of a neutron and an investigation of T-odd
  interactions of the neutron with a nucleus.
  Baryshevsky V.G. Institute of the Nuclear
  Problems BSU
• The theory describing contributions of the
  neutron electric dipole moment (EDM) and
  T-noninvariant nuclear interactions to the
  dichroism and the angle of spin rotation of the
  neutron diffracting into the noncentrosymmetric
  crystals is developed. The restrictions to the
  value of the EDM and constants of T-odd nuclear
  interactions are obtained. Perspectives of
  growing crystals possessing parameters better
  than that of the quartz are investigated and
  specific crystals are suggested to perform the
  experiment. The method of ah improvement of
  conditions for the observation of P-,
  T-noninvariant neutron spin rotation due to the
  modulation of signal by an external alternate
  magnetic field is developed which can also be
  used for modernization of the experimental setup.
  Comparative analysis of influence of the Earth's
  rotation onto the experiment in a search of the
  neutron EDM with the crystal diffraction method
  and onto experiments with ultra cold neutrons is
  fulfilled

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• The leaders of the projects which has been
  realized in the NC PHEP BSU
• are Shumeiko N.M., Baturickii M.A., Zyazyulya F.E.

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BRFFI

• ?06-331 An investigation of the one- and
  two-boson muon pair creation mechanisms taking
  into account experimental conditions at the Large
  Hadron Collider. Shumeiko N.M. NC PHEP BSU
• The cross section of the Drell-Yan process has
  been calculated taking into account first-order
  electroweak radiative corrections. The
  contribution of hard and soft photons has been
  considered using the Bardin-Shumeiko approach.
  The radiative corrections include the
  contribution of self-energies, vertices,
  two-boson exchange, hard and soft photon
  emission. The first-order electroweak radiative
  correction to the cross section of the Drell-Yan
  process grows with the increasing of the
  invariant mass of the muon pair, reaching at M
  6 TeV, approximately -20. An analytical
  evaluation of the cross section for the two-boson
  muon pair creation process has been carried out.
  It has been found that in the range 100 GeV lt ? lt
  5 TeV, the cross section of the Drell-Yan process
  exceeds the cross section of the two-boson muon
  pair creation process two orders of magnitude on
  average. The codes READYGEN (FORTRAN) and
  LePaProGen (C) for dealing with the generation
  of radiative events in Drell-Yan process have
  been created. The code TBEX (FORTRAN) for dealing
  with the generation of lepton pair creation
  through the two-photon exchange mechanism has
  been developed

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BRFFI

• The leaders of the projects which has been
  realized in the Gomel F. Skaryna State University
  
• are Maksimenko N.V., Andreev V.V.
• It is ground standings that the properties of
  polarizabilities of hadrons are generally
  determined by tensor builders, the
  nonrelativistic Hamiltonian of interaction of an
  electromagnetic field with hadrons with spins
  nonzero is constructed. For an estimation of an
  electrical polarizability of a pi meson is
  advanced diagrammatic-quark the approach and the
  equation of motion of scalar quarks in an
  electric field is obtained on the basis of
  effective Lagrangians of interaction of an
  electromagnetic field with polarized hadrons. Are
  showed that in the relativistic Hamiltonian
  dynamics (RHD) of wave functions of composite
  systems maintain probability interpretation. The
  analysis and coordination of parameters with
  relativistic quark, model obtained in other forms
  of dynamics is made. Within the framework of
  Poincare covariant quark model, based on the
  point form of dynamics of relativistic quantum
  mechanics, the two-photon decay of pi meson is
  calculated. The restrictions on parameters of
  model with usage of the combined analysis of
  lepton and two-photon decays of pi mesons are
  obtained.
•  

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BRFFI

• ?98-105
• Investigation of the electromagnetic properties
  of hadrons in two-photon processes
• Maksimenko N.V. Gomel F. Skaryna SU  
• It is ground standings that the properties of
  polarizabilities of hadrons are generally
  determined by tensor builders, the
  nonrelativistic Hamiltonian of interaction of an
  electromagnetic field with hadrons with spins
  nonzero is constructed. For an estimation of an
  electrical polarizability of a pi meson is
  advanced diagrammatic-quark the approach and the
  equation of motion of scalar quarks in an
  electric field is obtained on the basis of
  effective Lagrangians of interaction of an
  electromagnetic field with polarized hadrons. Are
  showed that in the relativistic Hamiltonian
  dynamics (RHD) of wave functions of composite
  systems maintain probability interpretation. The
  analysis and coordination of parameters with
  relativistic quark, model obtained in other forms
  of dynamics is made. Within the framework of
  Poincare covariant quark model, based on the
  point form of dynamics of relativistic quantum
  mechanics, the two-photon decay of pi meson is
  calculated. The restrictions on parameters of
  model with usage of the combined analysis of
  lepton and two-photon decays of pi mesons are
  obtained.
•  

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BRFFI

• The leaders of the projects which has been
  realized in the Gomel P. Suchoi Technical State
  University
• are Solovtsov I. L , Pankov A.A., Solovtsova
  O.P., Kakoulina E.P., Tsytrinov A.

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BRFFI

• ?06?-002
• Hadronic processes of perturbative and
  nonperturbative quantum chromodynamics.
• Solovtsov I.L. P. Suchoi Technical State
  University
• The purpose of research consists in development a
  method of chromodynamical description of hadronic
  processes at low energies beyond the standard
  perturbation theory. A new approach, based on the
  analytic perturbation theory in QCD, taking into
  account the nonperturbative character of the
  light quark masses and involving a summation of
  quark threshold singularities, was developed. It
  was shown that the suggested method allows one to
  evaluate well the hadronic contributions to
  various physical quantities both in the
  spacelike, and in the timelike regions. In the
  deep inelastic lepton-hadron scattering, this
  method allows to provide correct analytic
  properties of integrals from the structure
  functions. It was shown that within the method
  suggested the optimal values of these lower
  dimension condensates are lose to zero. A new
  developed approach expands an area describing
  within chromodynamics of strong interaction
  processes of elementary particles that allows one
  to use the results obtained for the further
  quantum chromodynamics testing in the field of
  intermediate and low energies and, in particular,
  investigate in more details the evolution of the
  invariant charge and nonperturbative effects

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BRFFI

• The leaders of the projects which has been
  realized in BSU and other Universities
• are Feranchuk I.D., Boyarkin O.M., Ryabushko
  A.P., Pletyuhov V.A.

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BRFFI
In the framework of the several BRFFI
projects has been realized basic investigations
for eliminations of the negative influences of
Chernobyl accident,
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Conclusion The activity of the BRFFI is very
useful for scientific community of Belarus
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Thank you for your attention