Charged particle scattering problem with a complex-range Gaussian basis
- 19 Downloads
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.
- 1.R.G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New-York, 1966)Google Scholar
- 11.H. Bethe, Quantenmechanik der Einund Zwei-Electronenprobleme, Handbuch der Physik, Zweite Auflage, XXIV, Erster Teil (1933)Google Scholar
- 16.D.P. Kostomarov, V.I. Kukulin, Numerical methods for few-body quantum mechanical problem with nuclear physics applications, in Proceedings of the 5th International Conference on Mathematical Modeling, Programming, and Mathematical Methods for Solution of Physical Problems, Dubna, 1985, edited by A.A. Samarsky (Joint Institute for Nuclear Research, Dubna, 1986) p. 113Google Scholar