Integral equations for three-body Coulombic resonances

Sep, 1999
9 pages
Published in:
  • Few Body Syst.Suppl. 99 (1999) 1,
  • Few Body Syst. 30 (2001) 31-37
e-Print:

Citations per year

1995199920032007201002468
Abstract:
We propose a novel method for calculating resonances in three-body Coulombic systems. The method is based on the solution of the set of Faddeev and Lippmann-Schwinger integral equations, which are designed for solving the three-body Coulomb problem. The resonances of the three-body system are defined as the complex-energy solutions of the homogeneous Faddeev integral equations. We show how the kernels of the integral equations should be continued analytically in order that we get resonances. As a numerical illustration a toy model for the three-α\alpha system is solved.
Note:
  • This work is dedicated to the 60th birthday of Prof. W. Glockle
  • 9 pages, 1 EPS figure