On Vector Form of Differential Variational Principles of Mechanics

We introduce variation of a vector δx which can be interpreted either as a virtual displacement of a system, or as variation of the velocity of a system, or as variation of the acceleration of a system. This vector is used to obtain a unified form of differential variational principles of mechanics from the scalar representative equations of motion. Conversely, this notation implies the original equations of motion, which enables one to consider the obtained scalar products as principles of mechanics. Using the same logical scheme, one constructs a differential principle on the basis of the vector equation of constrained motion of a mechanical system. In this form of notation, it is proposed to conserve the zero scalar products of reactions of ideal constraints and the vector δx. This enables one to obtain also the equations involving generalized constrained forces from this form of notation.     

Potential of a dielectric target during its irradiation by a pulsed electron beam in the forevacuum pressure range

The potential induced on the surface of a nonconducting ceramic during irradiation by an electron beam in the forevacuum pressure range (5?C15 Pa) remains negative, but its absolute value is much smaller than the energy of accelerated electrons. The factors affecting the negative potential of a nonconducting ceramic target are determined. The evolution of the charge injected in the ceramic is analyzed by a numerical simulation.     

Changes of geomagnetic transmissivity in the disturbed magnetosphere: ground-based and CORONAS-F observations

We report increases of cosmic-ray intensity at lowL shells, on the ground as well as on the altitude of 500 km, during the selected intervals when magnetosphere was strongly disturbed. The geomagnetic transmissivity for cosmic ray vertical access has been computed for four events, using two geomagnetic field models. The first event, namely, dated November 20–22, 2003, led to an increase of galactic cosmic-ray intensity due to the improvement of magnetospheric transmissivity at neutron monitors with high nominal cut-off rigidity. Other two events with high-energy solar proton emissions, namely, dated October 28 and November 2, 2003, caused different responses at middle latitudes. The first one followed by the strong geomagnetic disturbance led to the shift of the penetration boundary of protons, having(50–90) MeV at CORONAS-F satellite toL<3, coinciding approximately with the cut-off reduction expected byDst depression, while the other one, without remarkableDst decrease, did not shift the outer boundary of penetration belowL ≈ 4. And the fourth of the events, on November 8, 2004, with strong geomagnetic disturbance, yielded a complicated structure of cosmic-ray time profiles: superimposed on the cosmic-ray decrease, viewed by neutron monitors and by CORONAS-F at high latitude; an increase of intensity at middle latitudes both on the ground and on the altitude of 500 km has been observed during theDst depression. This work was supported by the Slovak Research and Development Agency under the contract No. APVV-51-053805. The work at Technical University was supported by VEGA grant 2/4064.     

Kinematic method for separating dominant types of cluster configurations in a complex nucleus

A direct method for detecting intranuclear agglomerations of nuclear matter (clusters) is developed for the first time. The method is based on the functional coincidence of kinematics for clusters in the free state and inside the nuclear volume. The reliability of the method is additionally confirmed by comparing differential cross sections for alpha particles with energies of around 29 MeV and scattered elastically on free and intranuclear multi clusters. Using another type of experiment (correlative), intranuclear alpha clusters in channel ⁴He(α,α)⁴He are revealed by registering the coincidence of the scattered particles and the identical right–left recoil nuclei from the beam axis. The experiments are performed on the ion beams of the isochronous U-150M cyclotron at the Institute of Nuclear Physics in Almaty, Kazakhstan.     

Search for production of invisible final states in single-photon decays of Υ(1S)

We search for single-photon decays of the Υ(1S) resonance, Υ → γ + invisible, where the invisible state is either a particle of definite mass, such as a light Higgs boson A?, or a pair of dark matter particles, χχ. Both A? and χ are assumed to have zero spin. We tag Υ(1S) decays with a dipion transition Υ(2S) → π?π?Υ(1S) and look for events with a single energetic photon and significant missing energy. We find no evidence for such processes in the mass range m(A?) ≤ 9.2 GeV and m(χ) ≤ 4.5 GeV in the sample of 98 × 10? Υ(2S) decays collected with the BABAR detector and set stringent limits on new physics models that contain light dark matter states.     

Extracting microwave energy from a cavity by mode conversion at a coupling window

A study is made of the production of high power nanosecond rf pulses by extracting microwave energy from an oversized cavity by means of conversion, at a coupling window, of the high-Q working mode to an auxiliary mode which is strongly coupled to an external load. It is shown that microwave rf pulse compressors with copper storage cavities and energy extraction by mode conversion at a coupling window can provide gains of 5–13 dB with output signal durations of 20–150 ns and peak powers of 5–10 MW in the 3-cm band and 50–100 MW in the 10-cm band. Rf pulses lasting 30 ns with peak powers of 0.5 MW have been obtained experimentally at a frequency of 9.4 GHz with a gain of 9 dB. Zh. Tekh. Fiz. 68, 92–96 (July 1998)     

Non-self-sustained hollow-cathode glow discharge for large-aperture ion sources

A discharge system is proposed in which an auxiliary gas discharge is used to inject electrons into the cathode cavity of a hollow-cathode glow discharge. A study is made of the region of stable existence of a non-self-sustaining hollow-cathode discharge. It is shown that the injection of electrons permits a reduction to <10⁻² Pa in the minimum pressure at which a discharge can exist. It is shown experimentally that this discharge can be used to generate wide-aperture ion beams. Zh. Tekh. Fiz. 67, 27–31 (June 1997)     

Energy spectrum and mass composition of primary cosmic rays in the vicinity of the “knee” in a model with two types of sources

An analysis of the data on the spectra of cosmic rays in the context of the proposed model with two types of sources suggests that the main contribution to the spectrum of all particles in the range of 10⁵?10⁷ GeV is made by the sources in which the exponent in the spectrum of particles’ generation p ≈ 2.85. The complex structure of the spectrum in the vicinity of the “knee” may arise owing to the presence of an additional supernova-type source that accelerates the particles to the energies of ～3 × 10⁴ Z GeV if the energy output of this source is ～2 × 10⁴⁸ erg/source.     

Methods for Measuring Daughter Products of Radon Decay in the Surface Atmospheric Layer of the Earth

Physics of Atomic Nuclei - At present, an urgent problem is the study of temporal variations of various types of nuclear radiation from the lithosphere in foothill and desert landscapes. This...