Ion-optical system with energy filtering for a monopole mass spectrometer

An electrostatic ion-optical system providing angular focusing of the beam and its monochromatization at the entrance to a monopole mass spectrometer is suggested and analyzed. The system uses a funnelshaped extracting electrode and a cylindrical energy filter with a flat electrode in its meridional plane. The geometry of the system and the supply voltage can be varied in proportion to the aperture radius and anode potential, respectively.     

Optimizing the energy filter of the “dihedral angle with end-face diaphragms” type

The 3D problem of determining the parameters of a charged particle energy filter for a monopole mass spectrometer is solved. Optimal geometry and operating conditions making it possible to raise the transmission of the instrument by an order of magnitude are found. Such an energy filter is intended for secondary ion (or atomic) mass spectrometry installations built around a monopole mass analyzer.     

A self-gravitating Dirac–Born–Infeld global monopole

We generalize the field theory of the global monopole to the Dirac–Born–Infeld (DBI) field and investigate the gravitational property of a DBI global monopole in four-dimensional spherically symmetric spacetime. The coupled equations for the metric and the DBI scalar field are solved asymptotically and numerically. It is found that, just as for a canonical global monopole, the gravitational effect of the DBI global monopole is equivalent to that of a deficit solid angle in the metric plus a negative mass at the origin. However, compared with a canonical global monopole, for the same false vacuum and symmetry-breaking scale, a DBI global monopole has a relatively smaller core and a larger absolute value of effective mass. Thus, it can yield a larger deflect angle when the light is passing by. Especially, when the scale of the warp factor is small enough, the effective mass of a DBI global monopole does not depend apparently on the value of the false vacuum, which is qualitatively different from that of a canonical global monopole.     

Hyperbolic Multi-Monopoles with Arbitrary Mass

On a complete manifold, such as or hyperbolic space , the limit at infinity of the norm of the Higgs field is called the mass of the monopole. We show the existence, on , of monopoles with given magnetic charge and arbitrary mass. Previously, aside from charge one monopoles, existence was known only for monopoles with integral mass (since these arise from U(1) invariant instantons on ). The method of proof is based on Taubes’ gluing procedure, using well-separated, explicit, charge one monopoles. The analysis is carried out in a weighted Sobolev space and necessitates eliminating the possibility of point spectra.     

Neutrino Oscillation in the Space-Time with a Global Monopole

The mass neutrino interference phase in a global monopole space time along the null trajectory and the geodesic is studied, and we find that the conserved energy changes a factor when a particle travels along the geodesic, if compared with the energy in the space time without the global monopole. The oscillation phase is increased by a factor due to the correction of the global monopole, comparing with the case in Schwarzschild space time. We obtain that the type-I phase along both the null and geodesic has a difference of a factor of 1−8π η ², and that the phase along the geodesic is the double of that along the null.     

Optimization of a quadrupole ion storage trap as a source for time-of-flight mass spectrometry

Designs of a quadrupole ion trap (QIT) as a source for time-of-flight (TOF) mass spectrometry are evaluated for mass resolution, ion trapping, and laser activation of trapped ions. Comparisons are made with the standard hyperbolic electrode ion trap geometry for TOF mass analysis in both linear and reflectron modes. A parallel-plate design for the QIT is found to give significantly improved TOF mass spectrometer performance. Effects of ion temperature, trapped ion cloud size, mass, and extraction field on mass resolution are investigated in detail by simulation of the TOF peak profiles. Mass resolution (m/Δm) values of several thousand are predicted even at room temperature with moderate extraction fields for the optimized design. The optimized design also allows larger radial ion collection size compared with the hyperbolic ion trap, without compromising the mass resolution. The proposed design of the QIT also improves the ion-laser interaction volume and photon collection efficiency for fluorescence measurements on trapped ions.     

Hidden symmetry of hyperbolic monopole motion

Hyperbolic monopole motion is studied for well separated monopoles. It is shown that the motion of a hyperbolic monopole in the presence of one or more fixed monopoles is equivalent to geodesic motion on a particular submanifold of the full moduli space. The metric on this submanifold is found to be a generalisation of the multi-centre Taub-NUT metric introduced by LeBrun. The one centre case is analysed in detail as a special case of a class of systems admitting a conserved Runge–Lenz vector. The two centre problem is also considered. An integrable classical string motion is exhibited.     

Generalized Hyperbolic Octonion Formulation for the Fields of Massive Dyons and Gravito-Dyons

The close analogy between electromagnetic theory and linear gravity is discussed by the hyperbolic (split) octonion formalism. Using the similarities between the relevant field equations of massive dyons in electromagnetic theory and gravito-dyons in linear gravity, a new mathematical model is proposed to formulate these fields in a compact and simple form. The generalized wave equation including both massive dyon and monopole terms is derived. Similarly, the most generalized form of hyperbolic octonionic Klein–Gordon equation is obtained for the hypothetical particle carrying simultaneously both electromagnetic and gravitational charges (masses).     

Secondary ion mass spectrometer based on a high-dose ion implanter

A secondary ion mass spectrometer built around a modified high-dose ion implanter is used to study secondary ion emission in metals over a wide range of primary beam energies. The implanter generates ion beams with energies of up to 150 keV and a substrate current to 30 μA. A modified MX7304A monopole mass spectrometer is applied as an analyzer of secondary ions with mass numbers of up to 400 with a resolution of 1 M at a level of 10% of the peak height. The detection limit for iron is 6.5 ppm. The analyzer is equipped with a small-size filter separating secondary ions in energy. The relative emission intensities of the secondary monatomic and cluster ions of copper for different primary ion beam parameters are studied.     

Asymptotically Hyperbolic Manifolds with Small Mass

For asymptotically hyperbolic manifolds of dimension n with scalar curvature at least equal to ?n(n ? 1) the conjectured positive mass theorem states that the mass is non-negative, and vanishes only if the manifold is isometric to hyperbolic space. In this paper we study asymptotically hyperbolic manifolds which are also conformally hyperbolic outside a ball of fixed radius, and for which the positive mass theorem holds. For such manifolds we show that the conformal factor tends to one as the mass tends to zero.     

The added masses of a monopole and a dipole in a narrow pipe

The added masses of a monopole and a dipole placed in a narrow pipe are studied experimentally. It is shown that, when a monopole passes from a free space into a narrow pipe, its added mass decreases, whereas the added mass of a dipole in a similar situation increases. Inside the pipe, for both monopole and dipole radiators, the value of the added mass depends on the radiator position with respect to the pipe wall. If the radiator is at the pipe axis, its added mass is at a minimum; when the radiator moves toward the wall, the added mass increases. This dependence is qualitatively explained using a simple example.     

A monopole in N = 8 supergravity

An explicit ansatz for a monopole in N = 8 supergravity is constructed. The monopole mass is estimated by extremizing an energy functional, whose positive definite character is guaranteed by a positive energy theorem.     

Measurement of the charged pion electromagnetic form factor

Separated longitudinal and transverse structure functions for the reaction 1H(e,e(')pi(+))n were measured in the momentum transfer region Q2 = 0.6--1.6 (GeV/c)(2) at a value of the invariant mass W = 1.95 GeV. New values for the pion charge form factor were extracted from the longitudinal cross section by using a recently developed Regge model. The results indicate that the pion form factor in this region is larger than previously assumed and is consistent with a monopole parametrization fitted to very low Q2 elastic data.     

Shifts of one-electron ions lines from n = 0 interactions with electrons in hot and dense plasma

This paper is concerned with lineshifts of hydrogen-like ions due to electron collisions in dense and hot plasmas. These collisions are treated by including all effects due to monopole, dipole, and quadrupole interactions between radiator and electron perturbers. The latter follow exact hyperbolic trajectories with a possible penetrating part inside atomic orbits. A simple closed form for the line shift has been derived. Comparison between our semi-classical results and the quantum mechanical ones shows good agreement for a large range of high electron densities and temperatures. Received: 30 June 1997 / Revised: 28 April 1998 / Accepted: 29 April 1998     

分置式斯特林制冷机驱动控制源的抗干扰设计

电磁干扰问题一直是影响斯特林制冷机性能的重要因素,文中分别从硬件和软件两方面对斯特林制冷机驱动控制源的抗干扰设计作介绍.本设计的硬件方面主要采用驱动控制器的输出部分加装LC滤波器、电机的单极性驱动代替传统的双极性驱动和测温部分装光电隔离器等措施;软件部分主要是对采样到的信号进行数字滤波.     

Sum rules for nuclear collective excitations

Characterizations of the response function and of integral properties of the strength function via a moment expansion are discussed. Sum rule expressions for the moments in the RPA are derived. The validity of these sum rules for both density independent and density dependent interactions is proved. For forces of the Skyrme type, analytic expressions for the plus three energy weighted sum rules are given for isoscalar monopole and quadrupole operators. From these, a close relationship between the monopole and quadrupole energies is shown and their dependence on incompressibility and effective mass is studied. The inverse energy weighted sum rule is computed numerically for the monopole operator, and an upper bound for the width of the monopole resonance is given. Finally the reliability of moments given by the RPA with effective interactions is discussed using simple soluble models for the hamiltonian, and also by comparison with experimental data.     

Dielectrophoretic mobility in the characterization of properties of microparticles

The dielectric properties of microparticles were characterized by quadrupole electrode geometry. Quadruple microelectrode geometry with hyperbolic active interfaces was designed and fabricated. The dielectrophoretic mobility coefficients of the polystyrene microparticles were attained from negative dielectrophoresis. With the mobility coefficients and hypothetical inflection frequencies of the particles, the permittivity and electric conductivity of the particles in suspension were calculated. This demonstration established that dielectrophoretic mobility attained with a hyperbolic electrode can be used to characterize microparticle properties in suspension.     

Pairing effects on the mass tensor for spontaneous fission

The monopole and quadrupole pairing effects on the fission mass tensor are considered. Two possible definitions of the quadrupole pairing matrix elements are investigated. They differ in dependence on deformation, leading to different behavior of the mass parameter with changing deformation. The effects of the usually neglected RPA terms are given in a simple expression. With monopole pairing alone the RPA terms do not contribute to the mass tensor, whereas the quadrupole pairing may have significant effects. Quantitative studies are carried out for a simple model which contains the important realistic features.     

Monopole vacuum in non-Abelian theories

It is shown that, in the theory of interacting Yang-Mills fields and a Higgs field, there is a topological degeneracy of Bogomol'nyi-Prasad-Sommerfield (BPS) monopoles and that there arises, in this case, a chromoelectric monopole characterized by a new topological variable that describes transitions between topological states of the monopole in Minkowski space (in just the same way as an instanton describes such transitions in Euclidean space). The limit of an infinitely large mass of the Higgs field at a finite density of the Bogomol'nyi-Prasad-Sommerfield monopole is considered as a model of the stable vacuum in pure Yang-Mills theory. It is shown that, in QCD, such a monopole vacuum may lead to a growing potential, a topological confinement, and an additional mass of the η₀ meson. The relationship between the result obtained here for the generating functional of perturbation theory and the Faddeev-Popov integral is discussed.