Scattering lengths and medium and high energy {pi}{pi} scattering

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.5501· OSTI ID:388436

Ananthanarayan, B; Buettiker, P ^[1]

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1. Institut fuer theoretische Physik, Universitaet Bern, CH--3012 Bern (Switzerland)

Crucial tests of chiral perturbation theory and determinations of chiral coupling constants rely on fine details of dispersion relation analysis of {pi}{pi} scattering data. Whereas a recent Roy equation analysis of low energy {ital S} and {ital P} waves with {ital a}{sup 0}{sub 0} in the range predicted by standard one-loop chiral perturbation theory, yielded sharp determinations of certain {ital S}- and {ital P}-wave threshold parameters only, we now extend the discussion to medium and high energy. This is shown to contribute to the {ital D}-wave scattering lengths {ital a}{sup 0}{sub 2} and {ital a}{sup 2}{sub 2} significantly, roughly 10{percent} and 30{percent} of their central experimental values, remaining consistent with chiral predictions. Results of our Roy equation fits to the {ital F}-wave scattering length {ital a}{sup 1}{sub 3}, a quantity for which two-loop chiral perturbation theory holds important predictions, are presented. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 388436
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
COUPLING CONSTANTS
D WAVES
DISPERSION RELATIONS
F WAVES
P WAVES
PERTURBATION THEORY
PION-PION INTERACTIONS
S WAVES
SCATTERING LENGTHS