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Theory of S-Wave Pion Scattering and Photoproduction at Low Energies

Drell, S. D. and Freidman, M. H. and Zachariasen, F. (1956) Theory of S-Wave Pion Scattering and Photoproduction at Low Energies. Physical Review, 104 (1). pp. 236-248. ISSN 0031-899X. doi:10.1103/PhysRev.104.236.

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A fixed-source analysis of the s-wave pion-nucleon interaction is constructed along the lines of the Chew-Low-Wick formalism. A bilinear s-wave interaction of the form λ0ϕ·ϕ+λτ·(ϕ×π) is added to the usual p-wave coupling (4π)1/2(f/μ)σ·∇τ·ϕ. Scattering equations are developed and solved in the one-meson approximation. Values for the renormalized coupling parameters λ0 and λ are determined which give reasonable agreement with the s-wave phase shifts up to ∼100-Mev pion kinetic energy. This s-wave interaction with the parameters fixed by the scattering analysis is then applied to the discussion of the π+ and π0 photo-production cross sections. A Kroll-Ruderman theorem is proved for the above nonlocal interaction and it is shown that the contributions to s-wave neutral and charged photoproduction are consistent with experiment. Other experimental implications, in particular as to the possible role of π-π forces, are discussed.

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Additional Information:©1956 The American Physical Society Received 31 May 1956 This work was supported in part by the Office of Naval Research and the U.S. Atomic Energy Commission. The term "pion" is used in discussion of the physical and experimental aspects of the scattering and photoproduction. In the more formal and theoretical developments we prefer the word "meson" for the nuclear field quantum. It is not intended that this duality of terms convey a basic reservation on our part as to the identity of these two.
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Deposited On:03 Nov 2006
Last Modified:08 Nov 2021 20:29

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