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 L2 basis.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 145, No. 3, pp. 393–410, December, 2005.
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Kukulin, V.I., Rubtsova, O.A. Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization. Theor Math Phys 145, 1711–1726 (2005). https://doi.org/10.1007/s11232-005-0193-8
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DOI: https://doi.org/10.1007/s11232-005-0193-8