arXiv subjects

V. M. Dubovik

Publications and source records attributed to V. M. Dubovik.

9 recordsLinked to original sources

arXiv2000

Hara Theorem, GIM model, and Asymmetry in Weak Radiative Hyperon Decays

It is shown that in the framework of GIM model,the parity-violating (PV) $Σ^{+}(uus) \Rightarrow p(uud) + γ$ decay amplitude does not vanish but just transforms into another PV decay amplitude, namely, of the $Ω^{+}_{cc}(ccs)\to Ξ^{+}_{cc}(ccd)+γ$ decay. The known result is used that the relevant part of the CP-invariant effective current$\times$ current Hamiltonian changes sign under simultaneous quark changes $d\leftrightarrow s$ and $u\leftrightarrow c$. So, asymmetry of $Σ^{+} \Rightarrow p + γ$ decay should not vanish in contrast to the Hara result of the old-fashioned $SU(3)_{f}$ model. At the same time, the zero asymmetry prediction persists for the $ Ξ^{-} \Rightarrow Σ^{-} + γ$ decay.

hep-ph↗

arXiv1999

Dual Killing-Yano symmetry and multipole moments in electromagnetism and mechanics of continua

In this work we introduce the Killing-Yano symmetry on the phase space and we investigate the symplectic structure on the space of Killing-Yano tensors. We perform the detailed analyze of the $n$-dimensional flat space and the Riemaniann manifolds with constant scalar curvature. We investigate the form of some multipole tensors, which arise in the expansion of a system of charges and currents, in terms of second-order Killing-Yano tensors in the phase space of classical mechanics. We find some relations between these tensors and the generators of dynamical symmetries like the angular momentum, the mass-inertia tensor, the conformal operator and the momentum conjugate Runge-Lenz vector.

math-ph↗

arXiv1999

Alternative Form of the Parity-Violating Current for the Hyperon Weak Radiative Decays and Hara Theorem

It is shown that upon considering an alternative form of a parity-violating part of the transition electromagnetic current it is possible to reformulate Hara theorem in a way that it does not forbid any more nonzero asymmetry in the hyperon weak radiative decays $Σ^{+} \to p+γ$ and $Ξ^{-} \to Σ^{-}+γ$ in the limit of exact $SU(3)_{f}$ symmetry thus resolving a contradiction with the data and maybe revealing hitherto unseen transition toroid dipole moments. A result is consistent with the traditional one on the single-quark weak radiative transition models. We have also reproduced Vasanti formula at the quark level. As for two-quark weak radiative transitions we have found that the important part of it contains also a toroid dipole moment contribution which seems to be an intrinsic reason of the apparent contradiction between the Hara theorem conclusion and quark model results for hyperon weak radiative decays.

hep-ph↗

arXiv1998

The gauge freedoms of enlarged Helmholtz theorem and the Neumann --- Debye potentials; their manifestation in the multipole expansion of conserved current

We discuss gauge freedom within the scope of the enlarged Helmholtz theorem and Neumann-Debye decomposition and then demonstrate its realization for the multipole expansion of a electromagnetic current with distinguished toroid moment family. The exact solution to the latter problem was obtained in 1974, but answers to some purely mathematical questions raised by I.B.~French and Y.~Shimamoto~\cite{French} about 40 years ago are given in this paper for the first time.

math-ph↗

arXiv1998

Upon symmetry of baryon magnetic moments in the chiral and the quark-soliton models

It is shown that the baryon magnetic moment descriptions in the frameworks of the chiral model ChPT and the quark soliton $χQSM $ one are practically identical. The main difference from the traditional unitary symmetry models proves to be in terms due to the pionic current contribution into the magnetic moments of nucleons and in the prediction for the $Λ$ magnetic moment.

hep-ph↗

arXiv1998

Generalized Gordon Identities, Hara Theorem and Weak Radiative Hyperon Decays

It is shown that an alternative form of the parity-nonconserving (PNC) transition electromagnetic current resolves partly a puzzle with the Hara theorem. New formulation of it has allowed PNC weak radiative hyperon transitions of the charged hyperons $Σ^{+} \Rightarrow p + γ$ and $Ξ^{-} \Rightarrow Σ^{-} + γ$ revealing hitherto unseen transition toroid dipole moment.

hep-ph↗

arXiv1998

Electrodymanics of Moving Continuous Media with Toroid Polarization

With regard to the toroid contributions, a modified system of equations of electrodynamics moving continuous media has been obtained. Alternative formalisms to introduce the toroid moment contributions in the equations of electromagnetism has been worked out. The two four-potential formalism has been developed for the electromagnetic continous media subjected to Lorentz transformations.

cond-mat↗

arXiv1998

Electrodymanics with Toroid Polarization

A modified system of equations of electrodynamics has been obtained. Beside the Lagrangian one an alternative gauge-like formalism has been developed to introduce the toroid moment contributions in the equations obtained. The two potential formalism that was worked out by us earlier has been developed further where along with the two vector potentials we introduce two scalar potentials thus taking into account all the four equations of electromagnetism.

cond-mat↗

arXiv1996

Multipolar Representation of Maxwell and Schroedinger Equations: Lagrangian and Hamiltonian Formalisms: Examples

Development of quantum engineering put forward new theoretical problems. Behavior of a single mesoscopic cell (device) we may usually describe by equations of quantum mechanics. However if experimentators gather hundreds of thousands of similar cells there arises some artificial medium that one already needs to describe by means of new electromagnetic equations. The same problem arises when we try to describe e.g. a sublattice structure of such complex substances like perovskites. It is demonstrated that the inherent primacy of vector potential in quantum systems leads to a generalization of the equations of electromagnetism by introducing in them toroid polarizations. To derive the equations of motion the Lagrangian and the Hamiltonian formalisms are used. Some examples where electromagnetic properties of molecules are described by the toroid moment are pointed out.

cond-mat↗