Photon energy dependence of the differential cross section for atomic-field bremsstrahlung

In a coincidence experiment we have measured the absolute fully differential cross section for atomic-field bremsstrahlung over a range of photon energies for electrons of 140 keV incident on gold and aluminum. The results are compared with the available calculations.     

Energy dependence of the bremsstrahlung cross section at the short wavelength limit

We have measured the bremsstrahlung cross section at the short wavelength limit for copper. The incident energy of the electrons ranged between 100 keV and 250 keV. The Elwert-Haug calculations are found to be valid within 20%.     

Comments on spin effects in proton-proton cross section measurements

Bounds are obtained from positivity on the possible size of spin dependent effects on the proton-proton total cross-section.     

Measurement of the absolute cross section for the elementary process of atomic field bremsstrahlung

Coincidence measurements of the absolute cross section for the production of bremsstrahlung by electrons in the field of gold atoms are reported. The incident electron energyT ₀ was 300 keV. Measurements were made for four different combinations of electron scattering angle and photon emission angle over a wide range of the relative photon energyk/T ₀ up tok/T ₀=0.83. The measured cross sections are compared with results of Bethe-Heitler and Elwert-Haug calculations     

Comparison between bremsstrahlung cross section measurements at the short wavelenght limit and theoretical results

Recent precise measurements of the electron bremsstrahlung cross section d²σ/dk dΩ_k at the short wavelength limit for an incident electron energy of 1.84 MeV important discrepancies between experimental results and earlier theoretical calculations. A new exact theoretical result, for a point Coulomb potential is presented: descrepancies with experimental results remain.     

Influence of radiation cross section uncertainties on shock wave structure

This numerical study investigates the sensitivity of non-equilibrium shockwave structure to uncertainties in (a) the ground and excited state continuum radiative cross section and (b) the bound-bound radiative cross section in a three level (ground, excited, and free electronic states considered) argon-like gas at Mach 18 and a pressure of 1 cm Hg. Changing the values of the radiative cross sections by an order of magnitude does not significantly influence the relaxation region; however, a large change occurs in not only the magnitude but also the extent of both the electron and excited state precursors. Increasing either the ground state continuum or the bound-bound cross section decreases the number of free electrons in front of the shock wave. These cross sections also influence the extent of the electron precursor through their influence on the ratio of the electrons produced by ground state photoionization to those produced by ground state photoexcitation followed by excited state photoionization. The bound-bound cross section also controls the excited state precursor, because the production of excited states is entirely due to line radiation. Increasing the excited state photoionization cross section increases both the magnitude and extent of the electron precursor, because the cross section influences the ratio of the two processes that compete to produce free electrons, and at the same time it influences the magnitude of the excited state precursor.     

Influence of electron-atom cross section uncertainties on shock wave structure

The exact value of the electron-atom collisional ionization cross section for argon is not accurately known. The purpose of the present research is to determine numerically the effect of varying the magnitude of the electron-atom cross section on nonequilibrium shock-wave structure. Mach 18 shock waves propagating into an argon-like gas at 1 cm-Hg and 300°K have been analyzed. Thermal, ionizational, and excitational non-equilibrium are considered in the relaxation region behind the shock wave. Electrons in the relaxation region are formed by a two-step collisional process, wherein the atom is first excited and then it is ionized. The precursor is formed by ground and excited state continuum radiation and line radiation which is emitted, but not reabsorbed, in the region behind the shock wave. When the electron-atom ionization cross section is varied from 1·86 × 10^?4to 1·86 × 10^?2cm²/erg, the results show that (1) it influences the coupling between the precursor and relaxation region through the radiative source functions, (2) it does not influence the distance necessary to attain equilibrium behind the shock wave, (3) it inversely influences the magnitude of the precursor ionization, and excitation, and (4) it inversely influences both the free electron and excited state population in the relaxation layer.     

Absolute differential bremsstrahlung cross section for the scattering of 0.6-keV electrons by xenon atoms

The spectral distribution of the absolute differential cross section for total bremsstrahlung, including ordinary and polarization, for the scattering of 0.6-keV electrons from free xenon atoms has been measured. The bremsstrahlung photons have been detected at an angle of 97° with respect to the electron motion direction. The investigations have been carried out in the ultrasoft x-ray spectral region 60–240 eV. The results are compared with the total cross sections for bremsstrahlung calculated in several approximations for the scattering of 5-and 25-keV electrons by Xe atoms. Both the value and the spectral distribution of the experimental absolute cross sections are most satisfactorily reproduced by the calculations in the distorted partial wave approximation.     

WKB and exact wave functions for inverse power-law potentials

We compare WKB and exact wave functions for inverse power-law potentials and derive a universal algebraic formula reproducing reflection phases and scattering phase shifts with uniform high accuracy for any wave length. Appropriately modified quantization gives competitive accuracy for the spiked harmonic oscillator. The asymptotic accuracy of WKB wave functions is discussed.     

On exact singular wave functions of two identical particles

We discuss the occurrence and properties of exact singular anyonic wave functions describing stationary states of two identical charged particles moving on a plane and under the influence of a perpendicular uniform magnetic field. Received 25 September 2001 / Received in final form 4 December 2001 Published online 2 October 2002 RID="a" ID="a"e-mail: truong@u-cergy.fr     

Sum rule for bremsstrahlung cross section for 6Li in the resonating-group method

In the method of resonating-group structure, the wave function of ⁶Li is assumed to have a single channel of alpha and deuteron substructures in the ground state. It is shown that the intercluster exchange of nucleons is an important effect which causes significant change in the root mean square radius and the dipole transition cross section. Due to the lack of symmetry in space coordinates of ⁶Li, the dipole operator is not identical to the mean square radius operator for this sum rule calculation and is expected to display like behavior in similar systems. It is also shown that the deuteron substructure in this nucleus is substantially larger than the alpha substructure.     

A semi-empirical formula for the neutron total cross section and the interpretation of the empirical formula forA ⩾ 40

Weaknesses in Angeli and Csikai’s interpretation of their empirical formula for the neutron total cross section (σ _T) are pointed out. Using the Fourier-Bessel re-presentation of the scattering amplitude a semi-empirical formula forσ _T is obtained which has greater applicability and also explains the success of the empirical formula for mass numberA ⩾ 40 in terms of the established trends in neutron optical potential parameters.     

Comments on the Sterman-Weinberg jet formula

A simple derivation of the Sterman-Weinberg jet formula (the QCD perturbation theory formula for the 2-jet cross section) is described. Conditions on the jet parameters ? and δ for this formula to be applicable are discussed and the corrections to the formula up to O(?²), O(δ²) are presented.     

Contribution of the second-order born approximation to the coherent bremsstrahlung cross section by relativistic electrons and positrons in crystals

Equations for the cross section and polarization of the coherent bremsstrahlung emitted by relativistic electrons and positrons in crystals are obtained taking into account the contribution from the second-order Born approximation. The radiation cross section and polarization in the field of the atomic plane is considered as a function of the charge sign of the particle.     

Photoionisation using Kohn-Sham wave functions

The determination of photoionisation cross-sections using the Kohn-Sham wave functions from accurate density functional theory (DFT) calculations is considered. The continuum electrons wave function is specified by its momentum measurable in the detector rather than fixed angular momentum and energy. The method is applied to the test case of a water molecule, where the DFT calculations show excellent agreement to experiment in the ionisation energies if a vertical transition is considered. The continuum electron is described by an analytical wave function and the matrix elements are calculated in both in length and velocity form of the dipole operator. The cross-sections agree well with the experiment in particular for the velocity form.     

基于辛Runge-Kutta-Nystrom方法的雷达散射截面计算

从基本的差分概念和Maxwell方程出发, 引入电磁场方程的Hamilton函数.提出一种基于Runge-Kutta-Nystrom辛算法的高阶时域有限差分方法，该方法保持了系统的相空间体积不变和总能量不变，并导出了迭代公式.在此基础上计算了一种金属圆柱的雷达散射截面.计算结果表明该方法的正确性及快速、精确的特性. 关键词： 雷达散射截面 高阶算法 辛Runge-Kutta-Nystrom方法 时域有限差分     

Uniform asymptotics of the wave diffracted by a cone of arbitrary cross section

In this paper, inspired by V. A. Borovikov’s pioneering work, we study a wave diffracted by a convex cone of arbitrary cross section. Our analysis is focused on the shadow boundary of the wave reflected by the cone surface, where geometric optics yields nonphysical weak singularity. The uniform asymptotic expansion constructed here, which is expressed in terms of the parabolic cylinder functions, is regular at the geometric shadow boundary. Outside the penumbra region, it perfectly matches the ray expansions of the reflected wave, yielding in addition a regular spherical wave, would-be scattered by the cone vertex. Dedicated to the memory of Vladimir Borovikov     

Time-independent values of the differential cross section and overlap functions at high energies

The extremal values, obtained previously [1, 2], of the differential cross section for elastic scattering in the region of the diffraction cone are generalized to other angles and reduced to a form suitable for comparison with experiment. Similar results are also found in the case of inelastic binary reactions and overlap functions. Comparison with experiment indicates that the time-independent values are extremely close to the measured ones.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 73–79, August, 1973.