The Reaction $\pi N\to \pi \pi N$ at Threshold

Abstract

We consider the chiral expansion for the reaction $\pi N\to \pi \pi N$ in heavy baryon chiral perturbation theory. To order $M_{\pi }$ we derive novel low--energy theorems that compare favorably with recent determinations of the total cross sections for ${\pi }^{+}p\to {\pi }^{+}{\pi }^{+}n$ and ${\pi }^{-}p\to {\pi }^0{\pi }^{0}n$.

7 pp, LateX (uses epsf.sty), 3 figures appended as ps files (split off as ppnf1.ps,ppnf2.ps,ppnf3.ps), CRN 94/19

References in corpus (2)

• Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths
• Threshold Two-Pion Photo- and Electroproduction: More neutrals than expected

Cited by in corpus (11)

• Chiral perturbation theory
• The reaction $\pi N\to \pi \pi N$ at threshold in chiral perturbation theory
• Chiral $3\pi$-exchange NN-potentials: results for representation invariant classes of diagrams
• One-loop analysis of the reaction pi N to pi pi N
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• The reaction $\pi N\to \pi \pi N$ above threshold in chiral perturbation theory
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• The reaction pi N -> pi pi N in chiral effective field theory with explicit Delta(1232) degrees of freedom
• The chiral structure of the neutron as revealed in electron and photon scattering
• Baryon Chiral Perturbation Theory A.D. 1994
• Rigorous pion-pion scattering lengths from threshold pi N --> pi pi N data