TWO VACUUM POLES AND PION-NUCLEON SCATTERING

Journal Article · Mon Apr 15 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys.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.130.820· OSTI ID:4737948

Igi, K

A general expression is given for the pion-nucleon non, charge-exchange scattering amplitude for arbitrary energy and small momentum transfer on the assumption that only the vacuum pole P and the second vacuum pole P' exist in the upper half J plane. Sum rules are derived or non-slipflip and spin-flip amplitudes, and are used, combined with the analysis of the high-energy rature of the d -N cross sections in terms of Regge poles, to investigate the behavior of P and P' trajectories near t sup 14/ recover 0. For this purpose the importance of a precise measurement of the low-energy partial-wave phase shifts is emphasized. A sum rule for the S-wave pionnucleon non-charge-exchange scattering length can be satisfied with alpha /sub p/, sup 14/ recover 0.5. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-17-019133
• OSTI ID: 4737948
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 130; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CROSS SECTIONS
ELEMENTARY PARTICLES
FIELD THEORY
MOMENTUM
NUCLEONS
PHYSICS
PIONS
REGGE POLES
S-WAVE
SCATTERING
SCATTERING AMPLITUDE
SPECTRAL SHIFT