Resonance scattering and singularities of the scattering function

Recent studies of transport phenomena with complex potentials are explained by generic square root singularities of spectrum and eigenfunctions of non-Hermitian Hamiltonians. Using a two channel problem we demonstrate that such singularities produce a significant effect upon the pole behaviour of the scattering matrix, and more significantly upon the associated residues. This mechanism explains why by proper choice of the system parameters the resonance cross section is increased drastically in one channel and suppressed in the other channel.     

Parametrization of the scattering indicatrix for a finite scattering medium

We consider a method of parametrizing the radiative scattering indicatrix. The scattering indicatrix is represented as projections , , on the axes of a Cartesian system of coordinates. Examples are discussed of the experimental determination of these parameters for a model dispersive medium consisting of a solution of polystyrene latex particles in water.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 36–39, October, 1985.     

On the theory of multiple scattering II. Critical scattering

The systematic theory of multiple scattering which we gave in a previous paper is further elaborated for critical scattering. It is shown that in each order the multiple-scattering intensity near the critical point is in essence a contraction of consecutive uncorrelated single-scattering intensities. The anomaly of the critical depolarization factor is calculated and is found to be in quantitative agreement with recent experimental results. Double scattering corrections to the Ornstein-Zernike plot are discussed.     

Experimental determination of the scattering length for positron scattering from krypton

We report the first experimentally supported determination of the scattering length for positron scattering from krypton. Our result of  ?10.3 ± 1.5 a.u. compares favourably with that from a convergent close coupling calculation performed as a part of this investigation (?9.5 a.u.), and also with an earlier many body theory calculation of  ?10.1 a.u. from Gribakin and Ludlow [Phys. Rev. A 70, 032720 (2004)] and a polarized-orbital result of  ?10.4 a.u. from McEachran et al. [J. Phys. B 13, 1281 (1980)]. The present experimental scattering length supports the existence of a low-lying positron-krypton virtual state (Surko et al. [J. Phys. B 38, R57 (2005)]) at an energy ε = 0.13 eV.     

Molecular scattering states of the neutron in the elastic scattering of C on C

The angular distributions of elastic scattering of ¹²C on ¹³C at 15 MeV and 19 MeV (Lab) have been remeasured in the full angular range using a magnetic spectrometer. The analysis of the data based on the method of molecular wave functions is discussed using the two center shell model (TCSM) and linear combination of nuclear orbitals (LCNO) approaches for the scattering states of the neutron.     

Determination of the scattering amplitude

The problem to determine the elastic scattering amplitude from the differential cross-section by the unitarity equation is reexamined. We prove that the solution is unique and can be determined by a convergent iteration if the parameter =sin of Newton and Martin is bounded by <₂0.86. The method is based on a fixed point theorem for holomorphic mappings in a complex Banach space.     

基于Mie散射的带电粒子散射特性的研究

基于Mie散射研究了带电粒子的散射特性,给出散射系数与表面电导率的关系,计算了不同面电导率粒子与非带电粒子的散射角,计算表明:对金属类粒子,带电后的散射影响不大;但带电介质类粒子如水球、冰球粒子,面电荷使面电导率达到一定量级时,对散射特性有明显的影响.与水球相比,冰球的散射系数振荡现象处于粒子尺度参数更大值,振幅更强,...     

Amplitudes of multichannel scattering on the barrier with a constant height in the scattering direction

The immersing method is applied to solve the N-channel scattering problem. In particular, we consider the particle scattering on a multidimensional potential barrier, which is constant in the scattering direction and arbitrary in the lateral direction. For this case the scattering amplitudes t _m and r _m (m = 1, 2, …, N) are determined. Transition from the obtained formulas to the case of thin potential is performed. For this case analytical expressions of transmission amplitudes t _m and reflection amplitudes r _m are obtained. We show that the product of transmission and reflection amplitudes in the channel m does not depend on the scattering channel. It is assumed that the scattering particle falls on the potential with the longitudinal wave vector k _l corresponding to the channel l.     

Solving the atmospheric scattering optical transfer function using the multi-coupled single scattering method

The atmospheric scattering optical transfer function （OTF） is solved by applying the multi-coupled single scattering （MCSS） method to the three-dimensional radiative transfer equation （RTE） under the periodic ground condition. This approach is a direct hit to the atmospheric scattering OTF using the same original context of modulation transfer function （MTF） measurement, i.e., images of sinusoidal grating at different spatial frequencies. Both the amplitude and phase shift of the OTF at various zenith and azimuth angles can be obtained at an arbitrary spatial frequency.     

Determination of some scattering factors for the case of mixed scattering of charge carriers

The method of determining the Fermi energy and some scattering factors in the case of mixed scattering of charge carriers is described under the presumption that the relaxation time is given by the following equation: = Cx ^s.     

Analysis of scattering medium structure from data on the multiple scattering of electromagnetic radiation

The radiation transfer equation for a semi -infinite scattering medium is solved. The solution provides information on the size distribution function of the scattering particles, starting from experimental data on the multiple scattering of electromagnetic radiation. A solution is obtained for the case where the probability of scattering is given by the solution of Mie's problem.     

He-CO散射截面的量子力学研究

采用精确度较高的密耦方法(Close-Coupling)计算了He-CO碰撞的散射截面,能量从5meV～70meV,计算结果与M.Keil等的实验结果(64meV)基本相符,研究表明:势能的零点能位置、势阱深度、势阱位置、排斥势强度以及势能在势阱附近的方向性都对散射截面有较大的影响.     

Hamilton-Jacobi expansion of the scattering amplitude

The calculation of the scattering amplitude is reduced to the problem of solving a set of classical Hamilton-Jacobi equations. This allows one to incorporate classical intuition into approximations at a fundamental level. The result is actually an iterative expansion for the scattering amplitude which is expected to be convergent in the high-energy limit. The first term in the expansion is shown to be the Glauber approximation, which is an approximation used extensively in nuclear as well as atomic and particle physics.