A property of second-rank tensors and fourth-order matrices
A property of second-rank tensors and fourth-order matrices
V.I. Denisov
It is shown that the product of any number N of identical fourth-order matrices $\Lambda$ can always be represented as a linear combination of four independent powers of this matrix: $(\Lambda)^0 = I$ , $\Lambda$, $(\Lambda)^2$, and $(\Lambda)^3$. An analogous feature is established for the N-th degree of a second-rank tensor, i.e., a tensor constructed from N tensors $\phi_n{}^i(x)$ all of whose indices are sequentially convoluted, apart from the contravariant index to the first tensor and the covariant one for the last.
Show AbstractPolarization effects in the decay of a massive neutrino in an external field
Polarization effects in the decay of a massive neutrino in an external field
M.Yu. Knizhnikov, A.N. Prokopenya
Calculations have been made on the probability of a massive neutrino decaying to a pair of W bosons and then electron in a steady external magnetic field. The exact wave functions for the electron and a W boson in a magnetic field are used. An expression is obtained for the decay probability as a function of the electron's polarization. The asymptotes of this expression are considered.
Show AbstractMotion of an electron in the field of a standing electromagnetic wave
Motion of an electron in the field of a standing electromagnetic wave
A.M. Khapaev, I.V. Ponomarev
The classical equations of motion are analyzed for a relativistic electron in the superposition of a standing wave and a steady magnetic field, which gives an integral of motion relating the energy to the radius of the cyclotron orbit. The cases of finite and infinite motion are examined. The quantum approach is based on solving the Klein-Gordon equation and is supplemented by analysis of the energy spectrum as affected by the type of boundary conditions.
Show AbstractSpectrum and angular distribution of coherent synchrotron radiation
Spectrum and angular distribution of coherent synchrotron radiation
N.P. Klepikov, A.K. Yashchenko
The spectral and angular intensity distribution have been obtained for the joint emission from a system of electrons moving over similar circles, and an approximate expression is derived for the total emission intensity.
Show AbstractTransitional scattering at a charged filament of spiral or sinusoidal form
Transitional scattering at a charged filament of spiral or sinusoidal form
V.V. Kolesov
Transitional scattering is considered for a dielectric-permittivity wave at a charged filament having the form of a spiral line or sinusoid. Perturbation methods give expressions for the spectrum and the angular distribution. The polarization of the radiated electromagnetic waves has been examined. The emission spectrum is analyzed.
Show AbstractNuclear neutrino scattering and the structure of the weak neutral hadron current
Nuclear neutrino scattering and the structure of the weak neutral hadron current
A.Z. Agalarov, В.K. Kerimov, A.M. Mourao (Portugal)
Cross sections have been calculated for neutrino (antineutrino) scattering at nuclei $\bar{\nu}(\nu)A_i\to \nu(\bar{\nu})A_f$ due to neutral-current interact ion. A study is made of the neutrino excitation of isoscalar transitions in $^{12}С(0^+0\to 1^+0)$ and $^{14}N (1^+0\to 2^+0)$, which is sensitively dependent on the isoscalar component of the weak neutral hadron axial current. When the latter is present, the total neutral hadron axial current. When the latter is present, the total cross sections for neutrino and antineutrino excitation of the isoscalar transition in $^{14}N$ show considerable differences in relation to the energy $E_{\nu}$ of the neutrino (antineutrino).
Show AbstractFinal-state interaction in deuteron electrodisintegration: a relativistic approach
Final-state interaction in deuteron electrodisintegration: a relativistic approach
V.V. Komarov, A.P. Trishchenko
A method is proposed for calculating final-state interaction effects for deuteron electrodisintegration, which is based on the relativistic-diagram technique. Expressions are obtained for the vertex functions $\Gamma_{NN}$ and the nuclear electromagnetic current. The $\Gamma_{NN}$ аге determined from the invariant nucleon-scattering amplitude. The proposed formalism enables one to determine the final-state interaction in terms of partial N-N scattering amplitudes outside the energy surface.
Show AbstractThe Gell-Mann and Okubo mass formula in the baryon quark-parton model
The Gell-Mann and Okubo mass formula in the baryon quark-parton model
L. Jelmy (Luxemburg), V.S. Zamiralov
It is shown that allowance for the quark-parton baryon structure enables one to derive the Gell-Mann and Okubo mass formula for the quark model. The masses of the $\Lambda$ and $\Sigma$ hyperons are nondegenerate. It is notable that in this approach, there are relationships between the realization of F and D forms of coupling and the quark distributions in the baryons.
Show AbstractAn apparatus for examining injection-laser modulation characteristics
An apparatus for examining injection-laser modulation characteristics
A.S. Logginov, I.P. Spir'kov
An apparatus, is described for examining transient processes and for recording watt-ampere and quasi-resonant emission characteristics from injection lasers working under pulse conditions and with pulse-code modulation. The risetime of pumping current pulse does not exceed 1 nsec, while the interval between two pulses in a code sequence is set in the range 0-20 nsec, which enables one to examine the modulation characteristics at frequencies close to the limiting one.
Show AbstractStriation excitation in a conical discharge tube
Striation excitation in a conical discharge tube
B.P. Aleksandrov, P.S. Landa, B.N. Shvilkin
The excitation of ionization-diffusion waves (striations) is considered for the positive column of a direct-current discharge in a conical tube at high current levels. The condition for striation self-excitation is derived. It is found that the upper self-excitation limit for argon in tubes with small semivertex angles is lower than that in a cylindrical tube whose radius lies between the radii for the ends of the cone.
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