s-WAVE PION-NUCLEON SCATTERING
BS>The Mandelstam relations for pion-nucleon scattering are used to obtain equations for the s-wave parttal wave of these equations are investigated in the approximation where only the one-nucleon contributions and the unitarity integral are kept. It is found that there are no solutions of the form N/D without complex zeros. and that this is a consequence of the large size of the one-nucleon terms. A comparison with experiment is made which suggests that the dominant contribution to the T = 3/2 s-wave amplitude (other than the one-nucleon contribution) comes from a region of the complex energy plane that is outside the physical region for the related processes ( pi -- pi into NN and "crossed" pi -- N scattering). An appendix is devoted to discussing the available experimental data and they are found to be consistent with a scattering length ( sigma /k at threshold) of 0.098 plus or minus 0.004 in the T = 3/2 state. (auth)
- Research Organization:
- Purdue Univ., Lafayette, Indiana
- NSA Number:
- NSA-15-028379
- OSTI ID:
- 4843329
- 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- Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 123; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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