The Z 0-Boson Contribution to the Anomalous Moments of an Electron in a Plane-Wave Electromagnetic Field

This paper considers the Z ⁰-boson contribution to the mass of an electron moving in a plane-wave field. The dependence of the Z ⁰-boson contribution to the anomalous magnetic moment (AMM) and anomalous electric moment (AEM) of the electron on the parameters of the external field is investigated in terms of the conventional Weinberg–Salam–Glashow model.     

Expansion parameter of the vertex function in the two-dimensional approximation of quantum electrodynamics

The contribution of the fifth-order diagrams to the vertex function of an electron in a strong magnetic field B B₀ = m²/e = 4.41·10¹³ G is calculated. It is shown that the diagram with electron loop is dominant; this leads to a linear dependence of the form factor f⁽⁵⁾(t) on the field. Comparison with the main contribution from the simplest triangle diagram shows that perturbation theory in. becomes invalid in fields with induction 10^17–18 G.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 126–129, September, 1978.     

Radiative corrections to the Lagrangian of the electromagnetic field

The single-loop corrections to the Lagrangian of a uniform, constant electromagnetic field are found which include the anomalous magnetic moment and electric dipole moment of the electron. The imaginary part of the effective Lagrangian, which determines the probability of electron-positron pair production is found. The asymptotic behavior of the effective action is studied for supercritical magnetic fields H » H₀ = m²/e with the dependence of the anomalous magnetic moment on H taken into account.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 37–42, March, 1987.     

Letter: Antisymmetric Tensor Contribution to the Muon g − 2

We investigate the Kalb-Ramond antisymmetric tensor field as a solution to the muon g – 2 problem. In particular we calculate the lowest-order Kalb-Ramond contribution to the muon anomalous magnetic moment and find that we can fit the new experimental value for the anomaly by adjusting the coupling without affecting the electron anomalous magnetic moment results.     

Pseudo scalar contributions to light-by-light correction of muon in AdS/QCD

We have performed a holographic calculation of the hadronic contributions to the anomalous magnetic moment of the muon, using the gauge/gravity duality. As a gravity dual model of QCD with three light flavors, we study a U(3)_L×U(3)_R flavor gauge theory in the five-dimensional AdS background with a hard-wall cutoff. The anomalous (electromagnetic) form factors for the pseudo scalars, π⁰, η and η^′, are obtained from the 5D Chern–Simons term of the gravity dual, which correctly reproduce the asymptotic behavior of the form factor, dictated by QCD. We find the total light-by-light contributions of pseudo scalars to the muon anomalous magnetic moment, , which is consistent with previous estimates, based on other approaches.     

How to measure the magnetic moment of the tau lepton

We present a method for obtaining bounds on the magnetic moment of the lepton. In order to do this, we study the radiative decayW as a function of the anomalous magnetic moment of the ,a . One can obtain bounds as good asa < 4.05×10^–2, 2.25×10^–2, 4.5×10^–3, and 2.5×10^–3 at the present Fermilab, future Fermilab, SSC, and LHC, respectively.     

Change in the magnetoresistance of n-GaAs in an electric field

The effect of an electric field on the magnitude of the magnetoresistance in epitaxial n-GaAs films with free carrier concentrations n_e=4.0.10¹⁵–1.12. 10¹⁶ cm^–3 at T=4.2K was investigated. It was found that in weak electric and magnetic fields for E < E_b (E_b is the intensity of the low-temperature impurity breakdown field) the magnetoresistance (MR) is negative, and for EE_b only a positive magnetoresistance is observed. The experimental results are explained by a change in the concentration of centers with a magnetic moment and of electrons in the impurity band in prebreakdown electric fields.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 51–55, July, 1981.     

Effect of multiple reradiations on the shape of the magnetic depolarization contour III. The influence of the Faraday effect

The effect of anomalous dispersion on the transfer of polarized resonance radiation in the presence of a magnetic field is theoretically investigated. The magnetic rotation of the plane of polarization is studied under unusual Faraday-effect conditions of small optical thicknesses ( – 1–10) and weak magnetic fields (H 10–100 Oe). It is shown that the angle of rotation of the plane of polarization can take negative values. The results of numerical calculations are presented in the form of graphs. The results obtained are compared with experiments.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 50–53, November, 1982.     

A new approach to the problem of the anomalous magnetic moment of the electron

A heuristic model for deriving the anomalous magnetic moment of the electron is presented. A term /2 – 0.327(/)² is deduced, in better agreement with experiment than is the QED derivation of /2 – 0.328(/)². The result is strengthened by the recent non-QED account of the Lamb shift by Yu and Sachs.     

Motion of electron with anomalous moments in parallel electric and magnetic fields

An accurate solution is obtained for the Dirac equation describing the motion of an electron with anomalous moments in constant, homogeneous, and parallel electric and magnetic fields. The system of solutions obtained is shown to be orthogonal and complete with respect to the scalar product defined in the null plane X^oX³=const. The solutions obtained pass smoothly in the limit to steadystate solutions describing the motion of an electron with anomalous moments in a homogeneous magnetic field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 23–28, January, 1978.It remains to thank V. G. Bagrov for useful discussions of the work.     

On the interpretation of the electron anomalous magnetic moment

Guided by a Compton-sized model, we demonstrate that: (a) the magnetic self-energy of the electron, as estimated initially by Rasetti and Fermi, can be directly related to both the sign and the magnitude of the electron anomalous magnetic moment; and (b) the classical expression for the magnetic self-energy of the electron exhibits the same characteristic logarithmic divergence that occurs in QED. This electron model quantitatively reproduces the spin, magnetic moment, and gyromagnetic ratio of the electron, correct to first order in = e² /c. It also relates the quantum-mechanical spin projection angle to the vanishing of the electric quadrupole moment, and it is capable of reproducing point-like scattering behavior.     

Anomalous magnetic moment of the electron and synchrotron radiation

Within the framework of relativistic semiclassical electrodynamics (RSCED), we consider the contributions quadratic in , associated with the electron's magnetic moment, to the synchrotron radiation (SR) power. The time of radiative self-polarization of electrons is calculated, and it is shown that the anomalous magnetic moment promotes the ordering of spins in the process of radiation.Translated from Izvestia Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 22–26, June, 1990.     

Interaction theory: Relativistic hydrogen atom and the Lamb shift

The Dirac relativistic equation for the hydrogen atom as augmented by dual interaction terms is solved exactly and the eigenvalues for the bound states are determined. These areE _n =[1 + ²/ (n + s)²]^–1/2, withs ²=k ²– ²(1±)², where is a constant which is a measure of the strength of the dual interaction relative to the standard interaction ^µ A _µ . It is shown that the ratios of the experimental values for the Lamb shifts of various energy levels in hydrogen and singly ionized helium are correctly given by the theory. The origin of the anomalous magnetic moment and, in fact, the operator for the total magnetic moment is given.     

Radial distribution of the electron concentration in a rotating plasma with the help of an interferometer

Results of experiments on the investigation of a plasma rotating in crossed electric and magnetic fields are presented. The radial electron concentration distributions in a nitrogen plasma at pressures varying from 8·10^–2 to 3·10^–1 mm Hg are obtained with the help of a 3.39 m laser interferometer. The effect of the magnitude of the magnetic field on the form of the radial distribution is determined.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 72–75, January, 1982.     

Specific heat of Nickel-Iron and Nickel-Cobalt alloys between 600° K and 1500° K

The -specific heat anomalies of ferromagnetic fcc Ni–Co and Ni–Fe alloys were investigated near the Curie temperatures. The magnetic contribution to the specific heat was found to be logarithmically divergent [c _M=log|T/T _c–1| ^A ] above the Curie temperature. The exponentA was composition dependent. Entropy and energy values associated with magnetic transions were determined experimentally and compared with theoretical predictions of the Heisenberg and Ising localized electron models obtained from series expansion calculations.     

Electromagnetic properties of the massive dirac neutrino in an external electromagnetic field

An interpretation of the anomalous magnetic moment of the neutrino is given; we derive an effective Hamiltonian which describes the motion of the neutrino in a weak external magnetic field and calculate the radiation intensity due to the anomalous magnetic moment of the neutrino in a constant magnetic field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 64–70, March, 1988.     

Scattering of positronic atoms on optical phonons in ionic crystals. Positron thermalization

The time for positron thermalization in ionic crystals due to the interaction of positronic atoms with polarizational optical oscillations of the lattice is calculated. The positronic atom is considered as a dipole with moment p induced by the internal crystal field. The dipole moment is evaluated from the value of the positronic-atom deformation parameter determined from data on the magnetic quenching of positronium. For an NaCl crystal, p 1.91D. The positronium thermalization time in ionic, crystals (for the example of NaCl) is estimated at 10^–1 sec. After this time, not only ortho positronium but also para positronium reached total thermalization.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizida, No. 5, pp. 66–70, May, 1979.     

Beta-NMR detection of beta-emitting fragment43Ti

NMR on the beta emitter⁴³Ti has been observed by use of the -NMR technique. From the observed NMR spectrum, the magnetic moment of⁴³Ti was determined to be || =0.85±0.02 µ_N. The value is significantly quenched from the single particle value –1.91 µ_N, which shows a strong effect resulting from meson-exchange currents andconfiguration mixing.     

On-line resonance of116Sbg cryogenically oriented at the DOLIS-COLD facility

The magnetic moment of¹¹⁶Sb^g(t_1/2=16 m, I=3⁺) has been measured to be ¦¦=2.716(7)_N using the technique of NMR/ON on nuclei oriented at low temperatures in an iron host, on-line at the DOLIS-COLD facility, Daresbury. The measured moment can be well interpreted using empirical magnetic moments of neighbouring odd-A antimony and tin nuclei. The change in I=3⁺ moments between^116–120Sb is well accounted for by the variation in the odd neutron contribution, the odd proton acting as a spectator.     

Electrically weak fermi particle interaction with a plane wave field taking account of the anomalous magnetic moment

The process of neutrino generation by neutrons n n n(vV)due to interaction of the neutron anomalous magnetic moment with a circularly polarized plane wave field is examined. Using the invariant solution of the generalized Dirac equation, an expression is obtained for the total probability of the process consisting of four contributions. Energetic asymptotics of the results are analyzed and estimates are made of the possibility of observing the effect under laboratory conditions.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 91–97, September, 1989.The authors are grateful to V. G. Bagrov for valuable remarks.