FIXED-ANGLE DISPERSION RELATIONS FOR NUCLEON COMPTON SCATTERING. PART I
The Mandelstam representation is used to derived fixedangle dispersion relations for the twelve scalar amplitudes describing the process gamma + N yields gamma + N. The electromagnetic interaction is calculated to order e/. The strong interactions are estimated by including one- and two-pion exchange on the left-hand cut. These depend on the pi o yields 2 gamma dccay lifetime and on the T = 0 pi pi phase shift and the total cross section for photoproduction of pions on pions, respectively. The right-hand cut is estimated by alIowing the excharge of a nucleon and a pion-nucleon pair, which depend on tbe amplitude for meson photoproduction on nucleons. The lowenergy limit theorem provides an estimation of the gubtractions required in the dispersion relations. The representation is thought to be accurate for barycentic photon energies up to approximately 300 Mev. (auth)
- Research Organization:
- Univ. of Cambridge, Eng.
- NSA Number:
- NSA-16-018516
- OSTI ID:
- 4840725
- 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- Physical Review (U.S.) Superseded in part by Phys.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, Vol. Vol: 126; Other Information: Orig. Receipt Date: 31-DEC-62
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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