K-matrix fits to πN → Nπ and Nππ in the resonance region √s= 1.3 to 2.0 GeV
- Univ. of California, Berkeley, CA (United States)
Thesis. Starting with partial wave amplitudes for πN → Nπ and πN yields several isobar model states of N ππ , one can apply the constraint of unitarity (using the K-matrix). This permits the removal of the overall phase ambiguity of the isobar amplitudes at each energy. The K-matrix fits generated a smooth prescription for the T-matrix amplitudes, enabling one to search the complex energy plane for poles. The uniqueness of these poles was demonstrated by doing Breit-Wigner refits to the fitted T-matrix amplitudes. The success of the results and the obvious interpretation justified a simple determination of coupling signs for which there can be checks with theory. This thesis corresponds closely to a forthcoming paper submitted to Physical Review except that here the K-matrix is based on a 1972 solution A'' isobar-model fits to N ππ data, and in the final paper solution B'' is used.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- US Atomic Energy Commission (AEC)
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-29-025337
- OSTI ID:
- 4336169
- Report Number(s):
- LBL--948
- Country of Publication:
- United States
- Language:
- English
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