Extraction of cross-sections of inelastic scattering from energy spectra of reflected atomic particles

REELS spectra of the electrons reflected off niobium are measured with energy resolution <0.5 eV within the 5–40 eV energy range of the probing beam. The measurements were performed for the scattering angles θ = 45° and θ = 120° by means of two electron guns. The process of energy losses is described within the framework of a model with three different energy loss laws: surface, intermediate, and bulk layers are considered. Differential cross-sections of inelastic scattering are represented in the form of simple equations.     

Simple surface interaction mechanism for magnetic substate excitation by inelastic scattering

A simple model is presented to explain the marked behaviour of the de-excitation γ-pattern in certain recent inelastic -particle scattering experiments from even nuclei (0⁺→2⁺ excitation). The model is a slight generalization of the well-known ring-locus model in that it is based on a ring locus of finite angular width. The dependence of the inelastic angular distribution and the reaction-plane γ-pattern on the parameters of the ring locus is discussed.     

Dynamic structure factor of diamond and LiF measured using inelastic X-Ray scattering

The dynamic structure factors S(q-->,omega) of diamond and LiF have been measured using inelastic x-ray scattering. The experimental data are compared to results of ab initio calculations, which take into account the interaction of the excited electron with the remaining hole. In diamond, the vicinity of the indirect band gap and its momentum dependence are studied. In LiF, a larger energy range, which covers the fundamental exciton, the plasmon, and several interband transitions, is investigated. Calculations and measurements agree quite well and emphasize the need to properly include the interaction of the excited electron in the conduction band with the hole in the valence band.     

Differential cross sections for elastic and inelastic positron scattering from alkali atoms

We have investigated positron scattering from the alkali atoms lithium, sodium, potassium and rubidium, focusing on the calculation of differential cross sections for elastic scattering and impact excitation. The results obtained with the two-state and five-state close-coupling method as well as the first-order distorted wave Born approximation are compared with each other and with some selected results for electron scattering. Numerical problems due to lack of, or numerically inaccurate, calculation of partial waves with large angular momenta are solved through semi-empirical fitting/extrapolation procedures.     

Measurement of high-Q^{2} neutral-current e^+p deep inelastic scattering cross-sections at HERA

The neutral-current deep inelastic scattering differential cross-sections , for GeV, and , for , 2500 and 10000 GeV, have been measured with the ZEUS detector at HERA. The data sample of 47.7 pb was collected at a center-of-mass energy of 300 GeV. The cross-section, , falls by six orders of magnitude between and 40000 GeV. The predictions of the Standard Model are in very good agreement with the data. Complementing the observations of time-like contributions to fermion-antifermion annihilation, the data provide direct evidence for the presence of exchange in the space-like region explored by deep inelastic scattering. Received: 18 May 1999 / Published online: 3 August 1999     

The diamond surface: II. Secondary electron emission

The total secondary electron emission spectrum from diamond has been examined, and details of the Auger spectra, characteristic loss spectra and K-level ionisation loss spectra have been presented. These features from the clean diamond surface were contrasted to those from graphite and amorphous-carbon. The fine structure in the carbon Auger spectra were compared with the line shape calculated using the band structure model, and the chemical sensitivity of the Auger spectra was demonstrated. A high energy Auger satellite peak in the diamond spectrum was ascribed to the Auger transition occurring from a doubly ionised carbon atom. This result was substantiated by the observation of loss peaks associated with the singly ionised level. The characteristic energy losses were assigned to interband transitions and plasma losses, and have been compared to optical data where possible.     

Path integral methods for inelastic scattering

Corrections to the primitive semi-classical amplitude for multiple inelastic scattering are obtained from a path integral formulation of scattering theory. The path integrals are calculated by making an expansion about a classical orbit describing elastic scattering. Terms are collected to give a series in inverse powers of the reduced mass m of relative motion of the target and projectile. The leading term is the primitive semi-classical amplitude for multiple excitation and explicit formulae are given for the corrections of order $\text{1}\text{m}$. These are calculated in detail for a one-dimensional model. It is shown that some, but not all, of the corrections can be included by evaluating the primitive amplitude with a symmetrized orbit.     

Coulomb-nuclear interference for inelastic deuteron scattering

The interference between Coulomb excitation and nuclear excitation has been observed for ^{54, 56}Fe, ⁶⁰Ni, ¹¹⁴Cd, ¹⁵²Sm, and ¹⁹²Os by measuring excitation functions of elastic and inelastic deuteron scattering at back angles. The interference is strongly constructive, indicating a predominantly imaginary nuclear form factor. DWBA calculations using the collective model, although predicting constructive interference, are unable to predict the magnitude of the observed effect.     

Unitarity relation for deep inelastic scattering

Saturating the multiparticle states in the unitarity relation for virtual Compton scattering by two-particle states consisting of an infinite set of high mass vector mesons and a nucleon leads to a non-linear integral equation the solution of which determines the behaviour in the scaling limit and the non-forward scaling functions for deep inelastic scattering.     

Influence of the inelastic electron-phonon scattering on the superconducting surface resistance

Experimental investigations of the rf losses in superconductors show deviations from the predictions of the weak-coupling theory. In order to explain the observations one has to take into account a number of mechanisms neglected in the weak coupling theory. One of these is the finite lifetime of the electrons due to their interaction with thermally excited phonons described by the strong-coupling theory. We have developed a computer program which calculates the surface impedance of strong-coupling superconductors at finite temperatures. In this paper the main features of the program and numerical calculations of the surface resistance of Sn, Pb, Nb and amorphous Ga are presented.     

Anomalous surface enhanced molecular Raman scattering from inelastic tunneling spectroscopy junctions

Anomalously strong Raman spectra have been obtained from molecular monolayers adsorbed on the insulator in metal-insulator-metal tunnel junctions. We show unambiguously that Raman spectroscopy can readily detect molecular monolayers and consider the effects of surface roughness, the molecule-metal interface and the metal on our results.     

Boundedness of total cross-sections in potential scattering. II

If, in addition to the condition $$\frac{1}{{(4\pi )^2 }}\int {d^3 xd^3 x'} \frac{{|V(x)||V(x')|}}{{|x - x'|^2 }}< 1$$ in units where 2M/?² = 1, which guarantees that the total cross-section averaged over incident directions is finite, we have also $$\frac{1}{{(4\pi )}}\int {d^3 xd^3 x'} \frac{{|V(x)||V(x')|}}{{|x - x'|}}$$ finite, the total cross-section is finite for all energies and all directions of the incident beam.     

The BFKL-Regge phenomenology of deep inelastic scattering

We calculate the Regge trajectories of the subleading BFKL singularities and eigenfunctions for the running BFKL pomeron in the color dipole representation. We obtain a viable BFKL-Regge expansion of the proton structure function F _2p (x,Q ²) in terms of several rightmost BFKL singularities. We find large subleading contributions to F _2p (x,Q ²) in the HERA kinematical region which explain the lack of predictive power of GLDAP extrapolations of F _2p (x,Q ²) to the region of small x. We point out the relation of our early finding of precocious BFKL asymptotic behavior to the nodal structure of subleading BFKL eigenfunctions. Pis’ma Zh. éksp. Teor. Fiz. 66, No. 3, 134–138 (10 August 1997) Published in English in the original Russian journal. Edited by Steve Torstveit     

High-efficiency high-energy-resolution spectrometer for inelastic X-ray scattering

A nine-element analyzer system for inelastic X-ray scattering has been designed and constructed. Each individual analyzer crystal is carefully aligned with an inverse joystick goniometer. For the analyzers silicon wafers with 100 mm diameter are spherically bent to 1 or 0.85 m radius, respectively. Additionally, an analyzer with an extra small radius of 0.182 m and diameter of 100 mm was constructed for X-ray absorption spectroscopy in fluorescence mode. All analyzer crystals with large radius have highly uniform focusing property. The total energy resolution is approximately 0.5 eV at backscattering for the 1 m radius Si(440) analyzer array and approximately 4 eV for the 0.182 m radius Si(440) analyzer at 6493 eV.     

Differential cross section of inelastic electron scattering on a boson with arbitrary spin

A general formula is obtained for the differential cross section for the electrical generation of a boson at a boson of any spin. The case where the bosons in the initial and final states differ is considered. The boson electromagnetic peak is parametrized by physical form factors analogous to the Sachs form factors for nucleons.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 76–79, December, 1977.     

Collision cross-sections for scattering of electrons from NO molecule

Electron-NO scattering is investigated in the energy range 2–1000eV by using a parameter-free spherical complex optical potential (SCOP) approach in the fixed nuclei approximation. The real part of the optical potential consists of three potentials namely, the static, the exchange and the polarization. For the imaginary part of the SCOP, we employ a semi-empirical model absorption potential. The molecular charge density function is calculated from a single-configuration molecular orbital based on Slater type orbitals. The various potential terms are then determined from these charge density functions. Calculations of the elastic (with and without absorption effects), total absorption, momentum transfer and differential cross-sections are obtained and compared with the available theoretical results and experimental measurements.