منابع مشابه
Effect of Pion-Pion Scattering Resonance on Nucleon Structure and Pion-Nucleon Scattering at Low Energies
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·aritinucleon production process in order to remedy the divergence regarding the left-hand cut. If the subtracted spectral representations are used for the form...
متن کاملThe S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
The pion-deuteron scattering length is computed to next-to-next-to-leading order in baryon chiral perturbation theory. A modified power-counting is then formulated which properly accounts for infrared enhancements engendered by the large size of the deuteron, as compared to the pion Compton wavelength. We use the precise experimental value of the real part of the pion-deuteron scattering length...
متن کاملLow-energy pion-nucleon scattering
An analysis of low-energy charged pion-nucleon data from recent pp experiments is presented. From the scattering lengths and the Goldberger-Miyazawa-Oehme ~GMO! sum rule we find a value of the pion-nucleon coupling constant of f 50.075660.0007. We also find, contrary to most previous analyses, that the scattering volumes for the P31 and P13 partial waves are equal, within errors, corresponding ...
متن کاملMicroscopic derivation of pion-nucleon and pion-Delta scattering lengths
A general expression for the π − N and π − ∆ scattering lengths is derived in the framework of a microscopic calculation. Annihilation, negative energy wavefunctions and spontaneous chiral symmetry are included consistently. The point-like limit is used to calculate the scattering lengths.
متن کاملIsospin violation in pion–nucleon scattering
We construct the complete effective chiral pion–nucleon Lagrangian in the presence of virtual photons to one loop. As an application, we consider strong and electromagnetic isospin violation for scattering of neutral pions off nucleons. We show that for the scattering lengths these isospin violating terms are of the same size as the purely hadronic ones. We also analyze isospin–violating effect...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1960
ISSN: 0033-068X
DOI: 10.1143/ptp.23.490