Does the multiple-scattering series in the pion-deuteron scattering actually converge?

Journal Article · Mon Jul 15 00:00:00 EDT 2013 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778813070090· OSTI ID:22149294

Kudryavtsev, A. E., E-mail: [e-mail]; Romanov, A. I., E-mail: [e-mail]; Gani, V. A., E-mail: [e-mail] ^[1]

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1. State Scientific Center Institute for Theoretical and Experimental Physics (Russian Federation)

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.

• OSTI ID: 22149294
• Journal Information: Physics of Atomic Nuclei, Vol. 76, Issue 7; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BOUND STATE
DEUTERONS
MULTIPLE SCATTERING
NUCLEONS
PIONS
SCATTERING LENGTHS
SIMULATION
TWO-BODY PROBLEM