Three-body scattering problem in the fixed center approximation: The case of attraction View Full Text


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Article Info

DATE

2016-12

AUTHORS

Alexander E. Kudryavtsev, Vakhid A. Gani, Alexander I. Romanov

ABSTRACT

We study the scattering of a light particle on a bound pair of heavy particles (e.g., the deuteron) within the fixed center approximation in the case of light-heavy attraction, solving the integral equation for the three-body Green's function both in the coordinate and in the momentum space. The results for the three-body scattering amplitude appear to be ambiguous --they depend on a single real parameter. This parameter may be fixed by a three-body input, e.g., the three-body scattering length. We also solve the integral equation for the three-body Green function in the momentum space, introducing a finite cut-off. We show that all three approaches are equivalent. We also discuss how our approach to the problem matches with the introduction of three-body contact interaction as done by other authors. More... »

PAGES

358

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epja/i2016-16358-8

DOI

http://dx.doi.org/10.1140/epja/i2016-16358-8

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