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Atoms 2016, 4(2), 16;

The Faddeev-Merkuriev Differential Equations (MFE) and Multichannel 3-Body Scattering Systems

Department of Physics and Astronomy, California State University, Long Beach, CA 90840, USA
Academic Editor: James Babb
Received: 11 November 2015 / Revised: 20 April 2016 / Accepted: 20 April 2016 / Published: 3 May 2016
Full-Text   |   PDF [269 KB, uploaded 3 May 2016]   |   Review Reports


Numerical implementation of the modified Faddeev Equation (MFE) is presented in some detail. The Faddeev channel wave function displays unique properties of each and every open channel, respectively. In particular, near resonant energies, the structures of the resonances are beautifully displayed, from which, the life-time of the resonances can be determined by simply using the uncertainty principle. The phase shift matrix, or the K-matrix, provides unique information for each and every resonance. This information enables the identification of the physical formation mechanism of the Gailitis resonances. A few of these resonances, previously known as the mysterious shape resonances, have occurred in a number of different collision systems. The Gailitis resonances are actually produced by a quantized Stark-effect within the various collision systems. Since the Stark-effect is a universal phenomenon, the Gailitis resonances are expected to occur in much broader classes of collision systems. We will present the results of a precision calculation using the MFE method in sufficient detail for interested students who wish to explore the mysteries of nature with a powerful theoretical tool. View Full-Text
Keywords: multichannel-quantum scattering theory; Stark-effect; resonance multichannel-quantum scattering theory; Stark-effect; resonance
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Hu, C.Y. The Faddeev-Merkuriev Differential Equations (MFE) and Multichannel 3-Body Scattering Systems. Atoms 2016, 4, 16.

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