Национальный цифровой ресурс Руконт - межотраслевая электронная библиотека (ЭБС) на базе технологии Контекстум (всего произведений: 635836)
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Первый авторRybakov
АвторыFarraj N., Umniyati Yu.
Страниц8
ID404363
АннотацияWe study the structure of the charged topological solitons in the lepton sector of the nonlinear 8-spinor model, at small distances the closed-string approximation being used. The mass, the spin and the magnetic moment of the soliton configuration with the unit leptonic number are estimated. The model is based on the well-known 8-spinor identity suggested by the Italian geometer Brioschi. Due to the identity the Dirac current appears to be time-like 4-vector that permits one to introduce the special form of the Higgs potential depending on the current squared. Within the framework of this model the natural classification of leptons and baryons can be realized via the Higgs mechanism. Concentrating on the lepton sector we study the simplest soliton configuration endowed with the unit Hopf index playing the role of the lepton number. Investigating the behavior of solutions at large and small distances we obtain the numerical estimate of physical characteristics of the topological soliton. The special symmetry group is used in our calculation, the combined rotations in ordinary and isotopic spaces being considered. The corresponding equivariant spinor fields involve phase functions linear with respect to azimuthal and toroidal angles. This property permits one to find explicit value of the topological invariant for the axially-symmetric configuration and to investigate the dependence of the physical characteristics on topology.
УДК539.12
Rybakov, Yu.P. Topological Soliton Configurations in 8-Spinor Nonlinear Model / Yu.P. Rybakov, N. Farraj, Yu. Umniyati // Вестник Российского университета дружбы народов. Серия: Математика, информатика, физика .— 2013 .— №3 .— С. 131-138 .— URL: https://rucont.ru/efd/404363 (дата обращения: 15.05.2024)

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UDC 539.12 Topological Soliton Configurations in 8-Spinor Nonlinear Model Yu. <...> Umniyati Department of Theoretical Physics Peoples’ Friendship University of Russia 6, Miklukho-Maklaya str., Moscow, 117198, Russia We study the structure of the charged topological solitons in the lepton sector of the nonlinear 8-spinor model, at small distances the closed-string approximation being used. <...> The mass, the spin and the magnetic moment of the soliton configuration with the unit leptonic number are estimated. <...> Due to the identity the Dirac current appears to be time-like 4-vector that permits one to introduce the special form of the Higgs potential depending on the current squared. <...> Within the framework of this model the natural classification of leptons and baryons can be realized via the Higgs mechanism. <...> Concentrating on the lepton sector we study the simplest soliton configuration endowed with the unit Hopf index playing the role of the lepton number. <...> Investigating the behavior of solutions at large and small distances we obtain the numerical estimate of physical characteristics of the topological soliton. <...> The special symmetry group is used in our calculation, the combined rotations in ordinary and isotopic spaces being considered. <...> The corresponding equivariant spinor fields involve phase functions linear with respect to azimuthal and toroidal angles. <...> This property permits one to find explicit value of the topological invariant for the axially-symmetric configuration and to investigate the dependence of the physical characteristics on topology. <...> Introduction In our previous paper [1] the nonlinear 8-spinor model was suggested for the unified description of leptons and baryons as topological solitons in Faddeev [2] and Skyrme [3] models respectively. <...> This unification is based on the special 8-spinor identity discovered by the Italian geometer Brioschi [4]: jµjµ −˜ = s2 +p2 +v2 +a2, ˜ where the following quadratic spinor quantities are introduced: s = ¯ ΨΨ, a = ı¯ Ψ = Ψ+γ0 and λ standing for Pauli matrices in the flavor (isotopic) space. <...> Here the diagonal (Weyl) representation for γ5 = γ+ with ¯ the unitary Dirac matrices acting on Minkowski spinor indices. <...> Taking into account the time-like character of the 4-vector , the topological 5 is used and γµ, µ = 0, 1, 2, 3, designate distinction between leptons and baryons can be realized via the Higgs mechanism, the special form of the Higgs potential being used: V <...>