This article is cited in 13 papers

Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization

V. I. Kukulin, O. A. Rubtsova

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: We generalize our previously developed packet continuum discretization method to take the long-range Coulomb repulsion in the charged-particle interaction into account. We derive an analytic finite-dimensional approximation for the exact Coulomb resolvent in the basis of stationary Coulomb wave packets. In the suggested approach, determining the so-called additional partial scattering phase shifts that appear because of the additional short-range interaction reduces to simple matrix algebra, and the related calculations can be performed using an arbitrary complete $L_2$ basis.

Keywords: quantum scattering theory, wave packets, continuum discretization, computational methods.

Received: 10.03.2005

DOI: 10.4213/tmf1908

 English version: Theoretical and Mathematical Physics, 2005, 145:3, 1711–1726

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