A method to obtain static potentials for electron-molecule scattering

Tapasi Das; Allan Daniel Stauffer; Rajesh Srivastava

doi:10.1140/epjd/e2014-40713-7

EPJ

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2021 Impact factor 1.611

Atomic, Molecular, Optical and Plasma Physics

Topical issue: Electron and Positron Induced Processes. Guest editors: Michael Brunger, Radu Campeanu, Masamitsu Hoshino, Oddur Ingólfsson, Paulo Limão-Vieira, Nigel Mason, Yasuyuki Nagashima and Hajime Tanuma

Eur. Phys. J. D (2014) 68: 102
https://doi.org/10.1140/epjd/e2014-40713-7

Regular Article

A method to obtain static potentials for electron-molecule scattering^*

Tapasi Das¹, Allan Daniel Stauffer² and Rajesh Srivastava¹^a

¹ Department of Physics, Indian Institute of Technology Roorkee, 247667 Roorkee, India
² Department of Physics and Astronomy, York University, M3J 1P3 Toronto, Canada

^a e-mail: rajsrfph@iitr.ernet.in

Received: 14 November 2013
Received in final form: 13 February 2014
Published online: 29 April 2014

Abstract

We present a method for calculating the static potential of an arbitrary molecule which is represented by the well-known Gaussian wavefunctions. This potential is given in analytic form which, in additions to elementary functions, contains the error function for which simple and accurate methods for its evaluation exist. As an example we have used this potential, along with polarization-correlation and exchange potentials, to calculate the differential cross sections for the scattering of electrons from the water molecule in the energy range 30–100 eV. Comparison with previous calculations and experimental measurements show that this method produces accurate results for the differential scattering cross sections.

Contribution to the Topical Issue “Electron and Positron Induced Processes”, edited by Michael Brunger, Radu Campeanu, Masamitsu Hoshino, Oddur Ingólfsson, Paulo Limão-Vieira, Nigel Mason, Yasuyuki Nagashima and Hajime Tanuma.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014