Effect of Pion-Pion Scattering Resonance on Nucleon Structure and Pion-Nucleon Scattering at Low Energies

Journal Article · Tue May 01 00:00:00 EDT 1962 · Progress of Theoretical Physics (Kyoto)

DOI:https://doi.org/10.1143/PTP.27.988· OSTI ID:4774020

Takahashi, Atsushi

The effect of pion-pion scattering resonance on the isovector part of nucleon structure is analysed by a method similar to that of Frazer and Fulco, but with one more subtraction for dispersion relations on helicity amplitudes of nucleon-antinucleon production process in order to remedy the divergence regarding the left-hand cut. If the subtracted spectral representations are used for the form factors, G₁^v(t) and G₂^v(t), and the narrow resonance is assumed for the P-wave pion-pion scattering, then the form factors can be written in the form given by Clementel and Villi and the square of pion-pion scattering resonance energy is required to be 18 ~25 µ². Finally, the effect of this resonance on pion-nucleon scattering at low energy regions is shown to be not inconsistent with the experimental data, if we use the subtracted form for the pion-pion terms in the dispersion relations for pion-nucleon scattering amplitudes.

• Research Organization: Tohoku Univ., Sendai
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-032330
• OSTI ID: 4774020
• Journal Information: Progress of Theoretical Physics (Kyoto), Journal Name: Progress of Theoretical Physics (Kyoto) Journal Issue: 5 Vol. 27; ISSN 0033-068X
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANTINUCLEONS
DISPERSION RELATIONS
FIELD THEORY
FORM FACTOR
HELICITY
MOMENTUM
NUCLEONS
P-WAVE
PAIR PRODUCTION
PARTICLE MODELS
PHYSICS
PIONS
QUANTUM MECHANICS
RESONANCE
SCATTERING
SCATTERING AMPLITUDE
SPIN
VECTORS