NUCLEON AND THE PION-NUCLEON TRAJECTORY. DETERMINATION OF THE PION-NUCLEON COUPLING CONSTANT

Journal Article · Mon May 25 04:00:00 EDT 1964 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.134.B873· OSTI ID:4010036

Barut, A O; Dilley, J

The low-energy p-wave pion-nucleon scattering amplitude is represented by a single Regge pole in the direct channel with correct analytical properties. The three parameters of the trajectory at threshold were determined. From the residue of the pole at the nucleon position the pi N coupling constant is determined to be g/sup 2/ = 13.68. The agreement at high energies is poor. A possible explanation of the discrepancy is that the analytically continued partialwave amplitude at J = 1/2 does not coincide with the physical amplitude. The difference is shown, from unitarity, to be approximately given at threshold by the contribution of an elementary nucleon pole. with such a term a good agreement is obtained up to 100 Mev with Woolcook's data and g/sup 2/ is found to be 13.03. (auth)

• Research Organization: Univ. of Colorado, Boulder
• NSA Number: NSA-18-020948
• OSTI ID: 4010036
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 134; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FIELD THEORY
INTERACTIONS
MOMENTUM
NUCLEONS
P-WAVE
PHYSICS
PIONS
QUANTUM MECHANICS
REGGE POLES
SCATTERING
SCATTERING AMPLITUDE