DISPERSION RELATIONS FOR PRODUCTION AMPLITUDES. PART II

Journal Article · Fri Dec 01 04:00:00 EST 1961 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.124.1632· OSTI ID:4803398

Kim, Y S

The question of single-variable dispersion relation is discussed in the framework of perturbation theory, for the production reactions: gamma + N yields gamma + pi + N, pi + N yields gamma + gamma + N, and pi + N yields gamma + pi +N. It is shown that the contributions from single-loop diagrams satisfy the dispersion relation which was conjectured by Logunov et al. The discussion is extended to higher orders. The amplitude associated with a certain class of diagrams are shown to satisfy the cut plane representation. For the rest of the diagrams, a plausibility argument is given. (auth)

• Research Organization: Princeton Univ., N.J.
• NSA Number: NSA-16-006958
• OSTI ID: 4803398
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 124; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

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