Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies

Details Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies

2007-09-18

arxiv.org/abs/0709.2931v1

J. Phys. A: Math. Theor. 41 (2008) 032001

Physics

Atomic Physics

8 pages, 2 tables, 1 figure. 2 mpg videos and 1 pdf table file are available upon request from the corresponding Author

Scientific paper

10.1088/1751-8113/41/3/032001

Using the tools of the J-matrix method, we absorb the 1/r singularity of the Yukawa potential in the reference Hamiltonian, which is handled analytically. The remaining part, which is bound and regular everywhere, is treated by an efficient numerical scheme in a suitable basis using Gauss quadrature approximation. Analysis of resonance energies and bound states spectrum is performed using the complex scaling method, where we show their trajectories in the complex energy plane and demonstrate the remarkable fact that bound states cross over into resonance states by varying the potential parameters.

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