Nonrelativistic dyon-dyon scattering

The nonrelativistic problem of the scattering of two dyons (including the case of electron scattering by magnetic monopoles) is systematically studied, both classically and quantum mechanically, with a view toward the discrimination between various combinations of electric and magnetic charges. We analyze the classical cross section with particular attention to the interesting phenomena which occur for large angle scattering, the “rainbows” and “glory,” where the cross section becomes infinite. Quantum mechanically, we find that these infinities do not occur and that, when the partial wave scattering amplitude is summed, a very elaborate structure emerges for the cross section, which depends sensitively upon the electric and magnetic charges of the particles, as well as on their relative speed. We further discuss a large modification, leading to spin flip and nonflip amplitudes, due to the dipole moments of the particles. Numerical results are presented for a variety of values of these parameters. In principle, these results could be used to distinguish the δ-ray distributions produced by the various species of electrically and magnetically charged particles. Quite apart from the experimental implications of our numerical results, we have made a number of theoretical improvements and extensions. Numbered among these are the consideration of dyons and particles having dipole moments, and the explicit demonstration, based on the methods of angular momentum, that the differential cross section is independent of the choice of singularity line.     

Caleulation of nonrelativistic scattering of charged scalar particles from a classical Aharonov-Bohm solenoid without an explicit gauge choice: Working within gauge theories without the explicit use of a gauge

A gauge free formalism is developed and used to calculate the differential cross section for scattering of nonrelativistic charged scalar particles from a classical Aharonov-Bohm solenoid without the explicit choice of a gauge. The result is found to agree with that obained through a gauge choice.     

The Aharonov–Bohm effect in scattering theory

The Aharonov–Bohm effect is considered as a scattering event with nonrelativistic charged particles of the wavelength which is less than the transverse size of an impenetrable magnetic vortex. The quasiclassical WKB method is shown to be efficient in solving this scattering problem. We find that the scattering cross section consists of two terms, one describing the classical phenomenon of elastic reflection and another one describing the quantum phenomenon of diffraction; the Aharonov–Bohm effect is manifested as a fringe shift in the diffraction pattern. Both the classical and the quantum phenomena are independent of the choice of a boundary condition at the vortex edge, providing that probability is conserved. We show that a propagation of charged particles can be controlled by altering the flux of a magnetic vortex placed on their way.     

On the Molière theory of multiple scattering of charged particles (1947–1948) and its critique in subsequent years

Several “misconceptions” regarding the theory of multiple scattering of fast charged particles in matter developed by Molière in 1947–1948 and its application in the analysis of experimental results are discussed. It is shown that the critics of this theory misinterpreted the Molière method for determining the cross section of particle scattering by atoms with the screening of their nuclear fields by electron shells described by the Thomas-Fermi statistical model. If the original Molière method is applied consistently, the obtained scattering cross section generally agrees with the results of later classical calculations carried out by Lindhard and his collaborators and other authors.     

求任意形状截面无限长直载流螺线管磁场的一种方法

在电磁学中,无限长直载流螺线管的磁场是一个基本与核心的问题,为了得到这一系统的磁场,通常的做法是：先就圆截面情况计算,然后把截面为任意形状无限长直螺线管看成是由无数大大小小的圆截面螺线管叠加而成,由此得到螺线管内的磁场均匀而管外磁场为零的一般结论.这里给出了一种推导截面为任意形状无限长直螺线管内外磁场的直接方法.先计算螺线管表面一窄条的磁场,再算总磁场.这种方法物理图像清楚,数学过程简单,可以在教学中加以应用.     

Charged Particle Emission and Detection Sources and the One-Body and the Many-Body Coulomb Scattering

A detailed study is carried out of the fundamental roles of the emission and detection sources in the one-body and the many-body Coulomb scattering. It is shown that the emission and detection sources, as amplitudes of emission and detection of charged particles, are to have given time-dependent structures for a correct formulation of the problem. The method incorporates the long range effect of the Coulomb field which persists even at large distance separations. Most importantly, composite sources are necessarily introduced for the many-body Coulomb scattering which act as emission and detection sources of “clusters” of charged particles and reflect the physically important fact that charged particles feel the presence of each other even before or after “collisions”. A complete concellation of the so-called Dalitz phase factor naturally follows leading to infra-red finite transition amplitudes (as opposed only of transition probabilities) by a systematic use, in the process, of a unitarity sum with respect to the external sources.     

截面为任意形状无限长螺线管的磁场

应用毕奥一萨伐尔定律计算了截面为任意形状无限长载流螺线管的磁场的磁感应强度,它与截面为圆形的无限长载流螺线管的磁场相同。     

The Analysis of Probe I‐V Characteristics in a Magnetized Low‐Temperature Plasma

The validity of probe theories based on the classical electron transport to probes in low‐temperature magnetized plasma of the toroidal device “Blaamann” has been demonstrated. The analysis was carried out for the conditions when global transport of charged particles in the device is anomalous, namely for magnetic field up to 0.3 T and pressure range 0.1—1 Pa. It was shown also that for the magnetic field larger than 0.1 T probes longer than 15 mm provide electron saturation current practically independent of probe potential, hence more accurate measurements of the plasma parameters. The experiments have revealed that application of long probes oriented parallel to the magnetic field may cause an anomaly of the I‐V characteristics in the sense that a local increase of the electron current appears near the plasma potential.     

Scattering of galactic cosmic rays by a magnetic cloud injected into interplanetary space during active solar processes

The scattering of charged particles as they pass through areas of the interplanetary magnetic field with large-scale inhomogeneities (magnetic clouds) is studied using the Monte Carlo method and the numerical simulation of trajectories. Charged particles (protons) with energies ranging from 1 to 100 GeV in magnetic clouds with sizes of 0.01–0.1 a.u. and magnetic flux densities of 5 to 50 nT are modeled. It is established that an important factor in determining the nature of galactic cosmic ray scattering is the relationship between the Larmor radii of particles, the size of a magnetic cloud, and the degree of magnetic field inhomogeneity.     

Закон подобия для контура спектральной линии и сечения неупругого перехода

Connection is made between the velocity dependence of the inelastic cross section and the profile of the broadened spectral line. The transition between the Born and adiabatic limits in the scattering problem corresponds to the transition between the impact and static limits in the broadening problem. Both the cases with term crossing and without term crossing are considered, corresponding to “positive” and “negative” domains of the line profile. The results obtained lead to the conclusion that line-broadening theory is useful in the calculations of inelastic cross sections, where the region of intermediate energies of the perturbing particles is included. Detailed calculations of the inelastic cross section have been made for the dipole interaction because exact solutions of the broadening problem are available for comparison in this case. Comparison is made with the results of other authors. The possibility of calculating the effect of field rotation is discussed.     

Hawking radiation and propagation of massive charged scalar field on a three-dimensional Gödel black hole

In this paper we consider the three-dimensional Gödel black hole as a background and we study the vector particle tunneling from this background in order to obtain the Hawking temperature. Then, we study the propagation of a massive charged scalar field and we find the quasinormal modes analytically, which turns out be unstable as a consequence of the existence of closed time-like curves. Also, we consider the flux at the horizon and at infinity, and we compute the reflection and transmission coefficients as well as the absorption cross section. Mainly, we show that massive charged scalar waves can be superradiantly amplified by the three-dimensional Gödel black hole and that the coefficients have an oscillatory behavior. Moreover, the absorption cross section is null at the high frequency limit and for certain values of the frequency.     

Dielectric tensor elements for the description of waves in rotating inhomogeneous magnetized plasma spheroids

The dielectric permittivity tensor elements of a rotating cold collisionless plasma spheroid in an external magnetic field with toroidal and axial components are obtained. The effects of inhomogeneity in the densities of charged particles and the initial toroidal velocity on the dielectric permittivity tensor and field equations are investigated. The field components in terms of their toroidal components are calculated and it is shown that the toroidal components of the electric and magnetic fields are coupled by two differential equations. The influence of thermal and collisional effects on the dielectric tensor and field equations in the rotating plasma spheroid are also investigated. In the limiting spherical case, the dielectric tensor of a stationary magnetized collisionless cold plasma sphere is presented.     

Electron-phonon interaction and electrical conductivity of a nanotube in an external magnetic field

A contribution of the electron-phonon scattering to the conductivity of a quantum cylinder in a magnetic field is calculated. It is demonstrated that the nanotube conductivity undergoes the Aharonov–Bohm oscillations with changes of the magnetic flux through the nanotube cross section.     

Experimental investigation of magnetohydrodynamic action on a heat flux toward the surface of a model

Experimental data for magnetohydrodynamic (MHD) action on a supersonic nitrogen flow about an axisymmetric model are presented. The experiments were carried out in the Big Shock Tube (Ioffe Physical-Technical Institute), at the end of which a test section equipped with a supersonic nozzle was mounted. A test conic model coupled with a cylinder is attached to the output cross section of the nozzle. A magnetic field is produced by a solenoid placed on the cylindrical part of the model through which a pulsed current due to an external voltage source discharging passes. Electrodes on the conic part of the model initiate a gas discharge, which rotates about the axis of the model in the solenoidal magnetic field. The influence of the magnetic field on the gasdynamic pattern of the flow near the model and on the heat flux toward its surface is investigated. Schlieren patterns of the flow about the model, photographic scans of the discharge glow, and heat flux measurements are taken. It is found that the magnetic field has an effect on the gasdynamic pattern of the flow near the model and on the heat flux toward its surface. The dependence of MHD effects on the external voltage polarity is also revealed.     

On the solution of a “2D Coulomb + Aharonov-Bohm” problem: oscillator strengths in the discrete spectrum and scattering

In this paper we present an exact analytic solution of the Schrödinger equation both inthe discrete and continuous spectra for the combination of a 2D Coulomb potential and theAharonov-Bohm flux. We analyze the influence of the Aharonov-Bohm flux on the energyspectrum of such a system and show that its presence leads to the broadening of theelectron density in the bound states with the given value of the principal quantum number.We have shown that the scattering phase shift, which determines theS-matrix, can be represented as a sum of the Aharonov-Bohm scatteringphase, first obtained by Henneberger, and a “modified” 2D Coulomb phase. We have noticed,that the Aharonov-Bohm scattering phase has a full analogy with the “quantum defect” forsuch a system. We have shown also, that the presence of the Aharonov-Bohm flux affects theradiation spectrum of the electron in this case, and this fact is demonstrated bycalculations of the corresponding oscillator strengths. The explicit analytic expressionfor the scattering cross section on such a system is found in the frame of the eikonalapproach. Obtained formula contains the two exact limiting cases, namely, the “pure” 2DCoulomb scattering as well as the “pure” Aharonov-Bohm effect. The mutual influence of a2D Coulomb potential and the Aharonov-Bohm flux is also discussed.     

Quasielastic electron scattering in the giant-resonance energy region

A new method is proposed for extracting the quasielastic portion of the spectrum of scattered electrons. The method is based on the so-called “bin” technique within which a multipole analysis is followed by a determination of the resonance shape and magnitude. The method essentially consists in performing a simultaneous multipole analysis of the mixture of quasielastic and resonance cross sections. A subsequent identification of resonance peaks in the cross section and its quasielastic portion is performed in the energy dependence of the transition probability for each multipolarity, since, there, the difference between the resonance and quasielastic processes is more pronounced than in the spectra of scattered electrons. The method makes it possible to reconstruct the process and to find the energy dependence of the quasielastic cross section in the primary spectra of scattered electrons. The spectra of quasielastically scattered electrons are obtained by the method in question for the ⁶⁵Cu nucleus. The positions of the quasielastic-peak maxima and their shift with respect to the case of scattering on a free nucleon are determined in the momentum-transfer range q = 0.5–1.2 fm^?1.     

Polarized deuterons and protons at NICA@JINR

The novel scheme of proton and deuteron polarization control in the NICA collider at Dubna is proposed. By means of two Siberian Shakes with solenoid magnetic field the beam spin tune is shifted to the “zero” spin resonance vicinity, whereas manipulation of the polarization is realized by “weak” field solenoids. The scheme makes it possible to obtain any desired direction of the polarization in the both MPD and SPD detectors for any sort of the particles. The possibility of the beam polarization control in the orbit plane at any azimuth of the collider magnetic arcs exists also. The last gives necessary flexibility of optimal matching the beam polarization at injection into collider and at the polarimetery monitor points.     

Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson–Papapetrou–Dixon model for extended bodies in a given gravitational background field. The equatorial plane is taken as the orbital plane, the spin vector being orthogonal to it with constant magnitude. The equations of motion are solved analytically in closed form to first-order in spin and the solution is used to compute corrections to the standard geodesic scattering angle as well as capture cross section by the black hole.     

Constraints on Mass,Spin and Magnetic Field of Microquasar H 1743-322 from Observations of QPOs

The study of quasi-periodic oscillations (QPOs) of X-ray flux observed in many microquasars can provide a powerful tool for testing of the phenomena occurring in strong gravity regime. QPOs phenomena can be well related to the oscillations of charged particles in accretion disks orbiting Kerr black holes immersed in external large-scalemagnetic fields. In the present paper we study the model ofmagnetic relativistic precession and provide estimations of the mass and spin of the central object of the microquasar H 1743-322 which is a candidate for a black hole. Moreover, we discuss the possible values of external magnetic field and study its influence on the motion of charged particles around rotating black hole.