Journal ArticleDOI
A method of computation for potential scattering at low and intermediate energies
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In this article, a method for computing scattering amplitudes and total cross sections is proposed, which is no more difficult than a second Born computation yet it gives results surprisingly good at low and intermediate energies.Abstract:
A method for computing scattering amplitudes and total cross sections is suggested. This is no more difficult than a second Born computation yet it gives results surprisingly good at low and intermediate energies.read more
Citations
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On-shell and off-shell low-frequency approximations for potential scattering in a strong laser field-optical theorem and sum rule
TL;DR: In this paper, the authors present analytical and numerical results for the T matrix and cross sections (differential and total) for scattering in a strong low-frequency laser field, which explicitly shows departure from the sum rule and it is analyzed as function of the laser field intensity and polarization angle.
Journal ArticleDOI
Positron-hydrogen scattering at intermediate and high energies
J. N. Das,Asoka Biswas +1 more
TL;DR: Positron-hydrogen collision cross sections have been calculated for intermediate and high energies as mentioned in this paper, and an expected broad peak is observed in the results for the total cross section in the intermediate energy range.
Journal ArticleDOI
Atom-diatom collisions in the momentum space representation: a connection between quantum and classical expressions
TL;DR: In this paper, the impulsive collinear collision of an atom and diatomic molecule, modelled as a harmonic oscillator, is expressed in the momentum space representation of quantum mechanics.
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Hyperspherical partial-wave theory applied to electron–hydrogen-atom ionization calculation for equal-energy-sharing kinematics
TL;DR: In this paper, the authors applied hyperspherical partial wave theory to the calculation of the triple differential cross sections for the ionization of hydrogen atoms by electron impact at low energies for various equal-energy-sharing kinematic conditions.
Journal ArticleDOI
Elastic scattering of electrons and positrons by the helium atom and the hydrogen molecule at intermediate energies
S P Khare,K Lata +1 more
TL;DR: In this paper, an approximate solution of the Fredholm integral equation for the scattering amplitude, asymptotically correct up to the first inverse power of the incident particle energy, is obtained in terms of one parameter.
References
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Journal ArticleDOI
Variable Phase Approach to Potential Scattering
Journal ArticleDOI
The Fredholm integral method. II. The calculation of scattering amplitudes for potential scattering
TL;DR: In this paper, a method which has previously been successful in calculating the phase shifts for the scattering of particles by a central potential is applied to the problem of calculating the scattering amplitude directly.
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Fredholm method. i. a numerical procedure for elastic scattering.
TL;DR: In this paper, the Fredholm expansion of the determinant whose phase gives the elastic-scattering phase shift is "summed" by use of numerical quadrature, reducing the calculation of the phase shift to evaluation of a single finite-dimensional determinant.
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A fredholm integral equation method for scattering phase shifts
TL;DR: In this paper, a method for obtaining exact scattering phase shifts using an integral equation formulation is presented, which is similar to recent work by Reinhardt and Szabo but differs in that in the integral equation used, no inherent singularities have to be avoided.