Pion Production and the Second Pion-Nucleon Resonance

Goebel, Charles J.; Schnitzer, Howard J.

doi:10.1103/physrev.123.1021

Pion Production and the Second Pion-Nucleon Resonance

Journal Article · Tue Aug 01 00:00:00 EDT 1961 · Physical Review

DOI:https://doi.org/10.1103/physrev.123.1021· OSTI ID:4021548

Goebel, Charles J. ^[1]; Schnitzer, Howard J. ^[1]

Univ. of Rochester, NY (United States)

A model for the reaction π + N → 2π + N at low energies, which includes pion-pion interaction and final state interactions in the (3,3) state, is discussed. The theory involves two parameters which are related to the S-wave and P-wave π - π scattering lengths. These parameters are chosen from a fit to the total cross section for π^-+ p → π^- + π⁺ + n. Meson production is predicted to be primarily in the T = $$\frac{1}{2}$$ state. Predictions are made for the total cross sections of the various channels (e,g. π⁺+ p → π⁺ + π⁺ + n, etc.) in the energy range from threshold to approximately 500 Mev, in good agreement with experiments. Angular distributions are predicted which are in qualitative agreement with the π⁺ angular distribution for π^-+ p → π^- + π⁺ + n. From these data it is suggested that S wave π-π scattering length has opposite sign to P wave scattering length. A conjecture concerning rapidly rising inelastic cross sections in a single partial wave is made to connect the large T = $$\frac{1}{2}$$, D$$\frac{3}{2}$$ production cross sections with the T = $$\frac{1}{2}$$, D$$\frac{3}{2}$$ pion-nucleon resonance. The π-π scattering length found are a₀ = -0.290μ^-1, a₁ = 0.122μ^-1 and $$\frac{a_2}{a_0}$$ = $$\frac{2}{5}$$ by hypothesis.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Rochester, NY (United States)

Sponsoring Organization:: US Atomic Energy Commission (AEC)

NSA Number:: NSA-15-017556

OSTI ID:: 4021548

Report Number(s):: NYO--9681

Journal Information:: Physical Review, Journal Name: Physical Review Journal Issue: 3 Vol. 123; ISSN 0031-899X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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