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FIT TO DISPERSION RELATIONS OF PION-NUCLEON SCATTERING

Journal Article · · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B
DOI:https://doi.org/10.1007/BF02913300· OSTI ID:4153339

Pion-nucleon scattering is described as the flipping and non-flipping of the spin and isotopic spin of the nucleon. These are expressed in terms of scattering amplitudes in pure isotopic spin states, and in turn are expressed in terms of phase shift. The basic assumptions needed for the dispersion theory to become more nearly a dynamical theory of the pion system are: causality, unitary condition, crossing theorem, high energy behavior of sigma ( omega ), and behavior of S( omega ), in the unphysical region, O < omega < mu . This dynamical theory must allow exact calculations of the four amplitudes of the pion system. Dispersion relations are utilized in the investigation of sign ambiguity of phase shifts, Fermi-Yang ambiguity of phase shifts, and the determination of the coupling constant f/sup 2/. The work of Puppi and Stanghellini in dispersion relations is briefly discussed. (B.O.G.)

Research Organization:
Universita, Bologna
Sponsoring Organization:
USDOE
NSA Number:
NSA-14-011003
OSTI ID:
4153339
Journal Information:
Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10) 14, Suppl. No. 2; ISSN NUCIA
Country of Publication:
Country unknown/Code not available
Language:
English

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