COUPLING CONSTANT AND P-WAVE PHASE SHIFTS IN LOW-ENERGY PION-NUCLEON SCATTERING
By means of a model for low-energy pion-nucleon scattering, it is shown that analyticity, unitarity, and the crossing properties are sufficiently strong conditions to determine the pi N coupling constant, the P-wave phase shifts STAincluding the position and width of the (3/2,3/2) resonance! and to give restrictions on the pi pi cut. In addition, the solution for the (1/2,1/2) scattering amplitude turns out to be of the form describing the nucleon as a bound state of the pi N system in close analogy to a bound state in potential theory. In the model, the pi pi cut is represented by a pair of conjugate poles, and crossing is approximated by the static crossing relations. No cutoff parameter has to be introduced, and the crossing relations are fulfilled to a high degree. (auth)
- Research Organization:
- Univ. of California, San Diego
- NSA Number:
- NSA-18-006029
- OSTI ID:
- 4132287
- 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- Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 133; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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