Physics and applications of charged particle beam sources

The authors review the physics and a few applications of charged particle beam sources, most of which originate from, propagate through, or use as a target, a partially ionized plasma. The authors present the plasma phenomena and plasma conditions which are general to most of the charged particle sources, but also other approaches and the current status of the research. The authors describe the applications of charged particle beam sources using partially ionized plasmas in accelerators and ion implantation. The applications covered are those of accelerator sources and ion implantation     

Anisotropic equipartition state in a charged particle beam

The purpose of this Letter is to conjecture a characterization of the anisotropic equipartition state. The anisotropic equipartition state is defined through a phase space density which is uniform on the invariant surface of ξ, where ξ is the ratio between the oscillation energies in the x- and y-directions. It is a version of the ergodic hypothesis where the invariant surface of ξ plays the role of the conserved energy. We show that the anisotropic equipartition state is characterized by the following properties: the development of an elliptical shape with increasing size along the x-direction, the presence of a coupling between transversal emittances, halo formation along a preferential direction, stationarity of the temperature and a growth of the entropy in the cascade form.     

On electromagnetic waves by an accelerated charged particle in medium

We have investigated the effects of acceleration of a charged particle on its Cerenkov emission and ionization-losses. We have considered the accelerated motion of a charged particle in an infinite medium with the acceleration parallel to the direction of its motion. We have used the method of Fourier transforms to solve the Maxwell's equations with appropriate current and charge-densities to find electromagnetic fields and hence the force experienced by the incident charge due to its interaction with the medium (dielectric or plasma). The results obtained are general and applicable to any acceleration. In the approximations of ‘small acceleration’ and ‘small interaction time’, we have solved the wave equations and determined electromagnetic potentials. It is found that the acceleration of the charged particle strongly changes both its ionization-loss and Cerenkov emission.     

Electromagnetic energy and momentum from a charged particle

We compute the flux of the stress-energy tensor across a tube surrounding the world line of a charged particle. By slight modifications of the definition of the Coulomb energy-momentum, the resulting expression contains the radiation reaction term (proportional to the square of the four-acceleration) but not the Schott term (proportional to the derivative of the acceleration). The equation of motion for the particle derived from this expression implies a variable rest mass.     

Optimal collimation of a charged particle beam in probe-forming systems

An approach to determining optimal sizes of collimators used for producing the initial phase set of a charged particle beam with the maximal volume at the inlet to the probe-forming system is described. This ensures beam focusing to a spot on a target with preset parameters and with the maximal current. The dynamics of phase sets is considered taking into account nonlinear effects associated with aberrations.     

Modified FRITIOF code: negative charged particle production in high energy nucleus–nucleus interactions

Calculations of nucleus–nucleus interaction characteristics at energies 3.2–3.5 GeV per nucleon performed within the framework of a modified FRITIOF model and a cascade-evaporation model (CEM) are presented in comparison with corresponding experimental data. It is shown that the FRITIOF model describes the data better than the CEM does.     

Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field

A review of analytical solutions of the Vlasov equation for a beam of charged particles is given. These results are analyzed on the basis of a unified approach developed by the authors. In the context of this method, a space of integrals of motion is introduced in which the integrals of motion of particles are considered as coordinates. In this case, specifying a self-consistent distribution is reduced to defining a distribution density in this space. This approach allows us to simplify the construction and analysis of different self-consistent distributions. In particular, it is possible, in some cases, to derive new solutions by considering linear combinations of well-known solutions. This approach also makes it possible in many cases to give a visual geometric representation of self-consistent distributions in the space of integrals of motion.     

Absolute measurement of electron-cloud density in a positively charged particle beam

Clouds of stray electrons are ubiquitous in particle accelerators and frequently limit the performance of storage rings. Earlier measurements of electron energy distribution and flux to the walls provided only a relative electron-cloud density. We have measured electron accumulation using ions expelled by the beam. The ion energy distribution maps the depressed beam potential and gives the dynamic cloud density. Clearing electrode current reveals the static background cloud density, allowing the first absolute measurement of the time-dependent electron-cloud density during the beam pulse.     

Variation of average charged particle multiplicity inp-nucleus interactions with energy and the two component description of particle production at high energies

Experimental data on average shower particle multiplicity (〈N _s〉) accumulated onp-nucleus interactions in the wide momentum region of 7.1–8000 GeV/c is investigated. It is observed that 〈N _s〉 is represented exceedingly well as a function of (v _vS). There are two physical processes which represent the experimental data reasonably well in the two momentum regionsviz 7.1–67.9 GeV/c and 67.9–8000 GeV/c. 〈N _s〉=a( _v ^S)/a+b fits the data in the low momentum region, whereas 〈N _s〉=a +b ln (v _vS) fits the experimental data in the high momentum region. The two physical processes are unified and represented by a single equation which is shown to be the consequence of two component theory and collective models.     

Characteristics of charged particle production in relativistic heavy-ion collisions

Inclusive spectra of charged particles at midrapidity in Au+Au collisions at $\sqrt {s_{NN} } = 130$ GeV and 200 GeV were measured with the STAR detector at RHIC. The measured mean transverse momentum 〈p _T 〉 shows a characteristic dependence on charged particle multiplicity and beam energy in Au+Au collisions that is distinctly different from pp, $p\bar p$ and e⁺e^? collisions. A 32%±3%(syst) increase in 〈p _T 〉 from pp to Au+Au collisions was observed at 200 GeV. While the charged multiplicity was found to increase by 19%±5%(syst) from $\sqrt {s_{NN} } = 130$ GeV to 200 GeV, no significant difference in 〈p _T 〉 was found between the two energies. A comparison with model predictions is discussed.     

Neutral strange particle production in antineutrino-neon charged current interactions

Neutral strange particle production in \(\bar v\) Ne charged current interactions is studied using the bubble chamber BEBC, exposed to the CERN SPS antineutrino wide band beam. From a sample of 1191 neutral strange particles, the inclusive production rates are determined to be (15.7±0.8)% forK ⁰ mesons, (8.2±0.5)% for Λ, (0.4±0.2)% for \(\bar \Lambda \) and (0.6±0.3)% for Σ⁰ hyperons. The inclusive production properties ofK ⁰ mesons and Λ hyperons are investigated. The Λ hyperons are found to be polarized in the production plane.     

Study of charged multiplicity distributions in high energy particle collisions

Data on hadron-proton collisions ranging from 1 to 300 GeV/c in incident momentum show evidence for an energy-dependent approach to a single semi-inclusive scaling curve for the charged multiplicity cross sections as predicted by Koba, Nielsen and Olesen. The onset of this scaling behavior is shown to depend on the initial state hadrons. The relation between the onset of this apparent scaling and the approach to a constant value of 〈n〉/D is suggestive of a two-component process.     

Thermocapillary convection in a target irradiated by an intense charged particle beam

A mathematical model is proposed for the heat-and-mass transfer in a target irradiated by an intense charged particle beam. It includes mechanics of continua equations and a kinetic equation for fast particles that are closed by a wide-range equation of state. A method for solving the model equations, which is based on the division of motion into vortex and potential flows, is proposed, and a numerical experiment is performed. Thermocapillary convection is shown to be the main mechanism of liquid-phase mixing in the target. Convective mixing is found to be effected when the pulse duration is much shorter than the characteristic thermal diffusivity time. Thermocapillary convection is shown to provide mixing on scales of 1–20 μm depending on the irradiation conditions.     

多条形电极束流能散度探测器的张角优化

采用Surperfish对北京正负电子对撞机的多条形电极束流能散度探测器进行了电磁场模拟计算。在带模拟束流的情况下,计算分析了探测器对束流位置和能散度的分辨能力与电极张角之间的关系,首次计算了条形电极间的电容耦合综合强度。电极张角优化结果表明：在不考虑噪声水平的情况下,电极张角为20°时,探测器的灵敏度和分辨率达到最优。而当噪声影响很大时,可以适当增加电极张角,同时考虑减小噪声的措施。     

多条形电极束流能散度探测器的张角优化

 采用Surperfish对北京正负电子对撞机的多条形电极束流能散度探测器进行了电磁场模拟计算。在带模拟束流的情况下,计算分析了探测器对束流位置和能散度的分辨能力与电极张角之间的关系,首次计算了条形电极间的电容耦合综合强度。电极张角优化结果表明：在不考虑噪声水平的情况下,电极张角为20°时,探测器的灵敏度和分辨率达到最优。而当噪声影响很大时,可以适当增加电极张角,同时考虑减小噪声的措施。