PION-NUCLEON SCATTERING IN THE MANDELSTAM REPRESENTATION

Journal Article · Mon Nov 14 23:00:00 EST 1960 · Physical Review (U.S.) Superseded in part by Phys.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.120.1486· OSTI ID:4144115

Frautschi, S C; Walecka, J D

Using the analytic properties of partial wave scattering amplitudes, as derived from Mandelatam's representation, the J = 3/2, P state of the pion- nucleon system was studied. The method used was covariant; it incorporated unitarity. The effect of a possible pion-pion resonance was investigated. Using the "single nucleon term" and the lowenergy scattering properties of the "crossed states" a resonance in the J = 3/2, T = 3/2 pion-nucleon state was obtained without the aid of a cutoff. Also investigated was scattering in the T = 1/2 state. The pion-pion resonance appeared to have only a very small effect in the T = 3/2 state; whereas, in the T = 1/2 state it increased the phase shift by a factor of 2. The resonance obtained in the T =3/2 state cccurred at too low an energy. There are several factors which may account for this including the contributions from crossed states, and inelastic scattering. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-15-003370
• OSTI ID: 4144115
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 120; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ENERGY
MANDELSTAM REPRESENTATION
NUCLEONS
PHASE DIAGRAMS
PHYSICS
PI MESONS
PIONS
RESONANCE
SCATTERING