Analyticity Properties of the Meson-Deuteron Elastic-Scattering Amplitudes at Low Energy

Journal Article · Mon Feb 28 23:00:00 EST 1966 · Progress of Theoretical Physics, Supplement

DOI:https://doi.org/10.1143/ptps.37.524· OSTI ID:4450605

Ando, Fujio ^[1]; Feldman, David ^[1]

---

1. Brown Univ., Providence, RI (United States)

A dispersion-theoretic treatment of the elastic scattering at low energy of mesons by deuterons is presented. The loosely bound nature of the deuteron results in small anomalous thresholds of the scattering amplitudes in the t channel and justifies the use of selected Feynman diagrams in the determination of the general analyticity properties of the amplitudes. The impulse approximation, binding corrections, and multiple-scattering terms are defined in terms of both triangle and box diagrams, and the dispersion relations with fixed s for these terms are derived by the method of analytic continuation with respect to the deuteron mass and with respect to s. Further, it is found that the anomalous parts of the deuteron-baryon vertices play important roles in the derivation of the dispersion relations, and that the double-scattering amplitudes have no complex singularities. The general method has been applied to a determination of the angular distributions for π⁺d and K-d elastic scattering. In the former case, the binding correction due to N^*_3/2 is the main correction to the impulse approximation. In the latter case, the impulse approximation has been determined in terms of the $$\overline{K}$$N scattering amplitudes which are approximated by two complex poles.

• Research Organization: Brown Univ., Providence, RI (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-21-013714
• OSTI ID: 4450605
• Report Number(s): NYO--2262-121
• Journal Information: Progress of Theoretical Physics, Supplement, Journal Name: Progress of Theoretical Physics, Supplement Vol. 37-38; ISSN 0375-9687
• Publisher: Oxford University Press
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTIC FUNCTIONS
ANGULAR DISTRIBUTION
DEUTERONS
DISPERSION RELATIONS
FEYNMAN DIAGRAM
FIELD THEORY
High Energy Physics
IMPULSE APPROXIMATION
INTERACTIONS
KAONS
KAONS-MINUS
MATHEMATICS
MESONS
PIONS
PIONS-MINUS
PIONS-PLUS
SCATTERING AMPLITUDE
Theoretical Particle Interactions & Properties