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arXiv · 1209.2145

Does the Multiple-scattering Series in the Pion-deuteron Scattering Actually Converge?

Alexander E. Kudryavtsev·Alexander I. Romanov·Vakhid A. Gani
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Abstract

It is demonstrated that the well-known answer for the multiple-scattering series (MSS) for a light particle interacting to a pair of static nucleons, calculated in the Fixed Centers Approximation (FCA), works well for a wide region of the two-body complex scattering length $a$. However, this approach is not applicable in a narrow region surrounding the real positive $a$ half-axis, where the MSS does not converge. Simultaneously, for real positive $a$'s the 3-body system forms an infinite set of bound states.

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Alexander E. Kudryavtsev, Alexander I. Romanov, Vakhid A. Gani. 2013-03-20. Does the Multiple-scattering Series in the Pion-deuteron Scattering Actually Converge?. https://doi.org/10.1134/s1063778813070090

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