EPJ Web of Conferences
Volume 3, 201019th International IUPAP Conference on Few-Body Problems in Physics
|Number of page(s)||10|
|Published online||12 April 2010|
Surface-Integral Approach to the Coulomb Few-Body Scattering Problem
Curtin University, GPO Box U1987, Perth, WA
2 Cyclotron Institute, Texas A&M University, College Station, Texas 77843, USA
a e-mail: firstname.lastname@example.org
We present main features of a surface-integral approach to the Coulomb few-body scattering problem. This approach is valid for both short-range and Coulombic longe-range interactions. We give new general deﬁnitions for the potential scattering amplitude. For the Coulombic potentials the generalized amplitude gives the physical on-shell amplitude without recourse to a renormalization procedure. New post and prior forms for the amplitudes of breakup, direct and rearrangement scattering in a Coulomb three-body system are also presented. The Green’s functions and formal solutions of the Schrödinger equation in integral form are not used. Therefore, for the purpose of deﬁning the scattering amplitudes the knowledge of a complicated analytic structure of the Green’s function in the complex-energy plane is not required.
© Owned by the authors, published by EDP Sciences, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.