PROPOSAL FOR DETERMINING THE PION-NUCLEON COUPLING CONSTANT FROM THE ANGULAR DISTRIBUTION FOR NUCLEON-NUCLEON SCATTERING
A plausibility argument is made that the real and imaginary parts of the nucleon-nucleon scattering amplitude as a function of the cosine of the barycentric system scattering angle, for fixed energy, are analytic in the complex plane, with singularities confined to the real axis. It is conjectured that in the real part there are poles at cos theta = plus or minus (1 + mu / sup 2//2k/sup 2/), where mu is the pion rest mass and k the barycentric momentum, branch points at cos theta = plus or minus (1 + 2 mu /sup 2//k/sup 2/ ), plus or minus (1 + 9 mu /sup 2//2k/sup 2/), etc. The residues of the poles are related directly to g/sup 2/, the pion nucleon coupling constant, and a procedure is out lined for determining g/sup 2/ by an extrapolation of experimental data on either backward or forward nucleonnucleon scattering. (auth)
- Research Organization:
- Univ. of California, Berkeley
- NSA Number:
- NSA-13-008073
- OSTI ID:
- 4272557
- 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- Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 112; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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