Does the multiple-scattering series in the pion-deuteron scattering actually converge? Physics of Atomic Nuclei Volume 76, Issue 7, 2013, Pages 919-929

14 сентября 2018
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Контактные данные автора публикации Kudryavtsev, A.E.a , Romanov, A.I.ab , Gani, a State Scientific Center Institute for Theoretical and Experimental Physics, Moscow, Russian Federation b Department of General Physics, National Research Nuclear University MEPhI, Moscow, Russi
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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 as the 3-body system forms an infinite set of bound states.
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