Scattering amplitude without an explicit enforcement of boundary conditions

A. T. Kruppa, R. Suzuki, and K. Katō
Phys. Rev. C 75, 044602 – Published 11 April 2007

Abstract

It has been known for some time that for short range potentials scattering observables can be calculated using complex coordinates. We will show that the standard uniform complex scaling can be applied to calculate the scattering amplitude even in the presence of a long range interaction. The main advantage of the application of the complex scaling to the scattering problem is that the direct imposition of the complicated scattering boundary condition can be avoided. As a result, the scattering problem can be solved using only square integrable functions. The method will be applied not only for potential scattering but for the coupled-channel reaction model. As an application we calculate the phase shifts of the charge exchange reaction H3(p,n)He3.

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  • Received 15 December 2006

DOI:https://doi.org/10.1103/PhysRevC.75.044602

©2007 American Physical Society

Authors & Affiliations

A. T. Kruppa*

  • Institute of Nuclear Research, Bem tér 18/c, H-4026 Debrecen, Hungary

R. Suzuki and K. Katō

  • Division of Physics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan

  • *Electronic address: atk@atomki.hu
  • Electronic address: ryusuke@nucl.sci.hokudai.ac.jp
  • Electronic address: kato@nucl.sci.hokudai.ac.jp

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Issue

Vol. 75, Iss. 4 — April 2007

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