2013
DOI: 10.7868/s0044002713070106
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Does the Multiple-Scattering Series in the Pion–Deuteron Scattering Actually Converge?

Abstract: 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 state… Show more

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(1 citation statement)
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“…Indeed, evaluating the three-body Green functions both in the coordinate and in the momentum space under the fixed center approximation, the ambiguous results were found in Ref. [13] where they tried to fix them with some experimental inputs. Besides, driven from an effective field theory for non-relativistic particles, a different formalism was proposed in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…Indeed, evaluating the three-body Green functions both in the coordinate and in the momentum space under the fixed center approximation, the ambiguous results were found in Ref. [13] where they tried to fix them with some experimental inputs. Besides, driven from an effective field theory for non-relativistic particles, a different formalism was proposed in Ref.…”
Section: Introductionmentioning
confidence: 99%