NUCLEON COMPTON SCATTERING. I. DISPERSION RELATIONS
Nucleon Compton scattering is analyzed assuming the validity of the Mandelstam representation. The six covariant amplitudes that determine the scattering amplitude for this process are chosen in such a way that no kinematical singalarities are introduced. From the analytic properties of the covariandt amplitudes implied by the Mandelstam representation, subtracted dispersion relations are written for quantities that are simply related to the elements of the total angular momentum submatrices of the scattering matrix; the subtraction constants are deterniined from an application of the low-energy Compton scattering theorem. The one-particle intermediate state contributions to the absorptive parts are considered exactly. The two-particle intermediate state contributions to the absorptive parts in Channels I and II are approximated by using the matrix elements of the Chew, Goldberger, Low, and Nambu single pion photoproduction analysis. For the two-particle intermediate state contribubution to the absorptive part in Channel I and II are approximation is used after the I = 0 amplitude alone is shown to contribute. No higher mass intermediate states in any channels are considered. (auth)
- Research Organization:
- Univ. of Oregon, Eugene
- NSA Number:
- NSA-18-000872
- OSTI ID:
- 4154963
- Journal Information:
- Annals of Physics (New York) (U.S.), Journal Name: Annals of Physics (New York) (U.S.) Vol. Vol: 24; ISSN APNYA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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