Eur. Phys. J. A (2018) 54: 126
https://doi.org/10.1140/epja/i2018-12563-9

Regular Article - Theoretical Physics

Charged particle scattering problem with a complex-range Gaussian basis

¹ Faculty of Physics and Technical Sciences, Gumilyov Eurasian National University, 010000, Astana, Kazakhstan
² Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991, Moscow, Russia

^* e-mail: s.dinmuhamed@gmail.com

Received: 2 March 2018
Accepted: 28 June 2018
Published online: 30 July 2018

Abstract

A new approach towards solving quantum scattering problems with a short-range interaction and repulsive Coulomb interaction is introduced on the base of the Coulomb wave-packet formalism. The formalism allows to construct a finite-dimensional spectral expansion for the pure Coulomb resolvent and the resolvent for the Coulomb distorted short-range interaction as well. The above Coulomb wave-packet states can be approximated via the so-called complex-range Gaussian basis which is shown to be very convenient for practical calculations in continuum. As a result, the off-mass-shell elements of the Coulomb-nuclear t-matrix are found in a wide energy region from diagonalisation procedures for the total and Coulomb Hamiltonian matrices on the basis presented. The method is illustrated by few examples for calculations of partial amplitudes for local potentials and non-local coupled-channel interaction caused by an intruder state.