Eur. Phys. J. A (2020) 56: 190
https://doi.org/10.1140/epja/s10050-020-00181-1

Regular Article - Theoretical Physics

Scattering cross-section under external magnetic field using the optical theorem

¹ Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700 064, India
² Indian Institute of Technology Gandhinagar, Palaj, Gandhinagar, Gujarat, 382 355, India

^* e-mail: snigdha.physics@gmail.com
^** e-mail: snigdha.ghosh@saha.ac.in

Received: 23 January 2020
Accepted: 17 June 2020
Published online: 23 July 2020

Abstract

The cross-section for the lowest order elastic scattering between two charged scalars under external magnetic field mediated via a neutral scalar, has been computed in strong as well as weak magnetic field limits. This has been done by applying the optical theorem where the cross-section is expressed in terms of the imaginary parts of different one-loop graphs contributing to the forward scattering amplitudes. The modification in the amplitudes due to the external magnetic field has been done by means of replacing the charged scalar propagators with the Schwinger proper-time ones. Significant modifications of the cross-sections with respect to the vacuum cross-section are observed due to the external magnetic field.