BOOTSTRAPS AND THE PION-NUCLEON SYSTEM

Journal Article · Sun Sep 01 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys.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.131.2305· OSTI ID:4676042

Abers, E; Zemach, C

It was suggested that all the observable properties of strongly interacting systems can be determined selfconsistently if there do not exist any elementary particles in the conventional sense. This conjecture is applied to the nucleon mass and the pion-nucleon coupling constant, which are calculated under the assumption that the nucleon is composite, and that its existence is a consequence of the same forces which produce pion-nucleon resonances. A self- consistent calculation is possible because the nucleon and the P/sub 2/3 2/3/ resonance are principally responsible for the forces whlch produce each other, providing an example of a boot-strap'' or self-supporting mechanism. The N/D method is used for computations. Some ambiguity in the quantitative results due to high-energy processes is unavoidable, but calculations with a large range of cutoff'' values predict the same orders of magnitude as are observed experimentally. It is shown qualitatively that the self-consistent method not only predicts the nucleon and the P/sub 2/3 2/3/ resonance, but excludes other combinations which are not observed. This notion is illustrated by consideration of hypothetical interactions between nucleons and scalar mesons and between LAMBDA and SIGMA hyperons of negative relative parity. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-17-034783
• OSTI ID: 4676042
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 131; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BINDING ENERGY
BOOTSTRAP MODEL
COUPLING CONSTANTS
ENERGY
FIELD THEORY
HYPERONS
INTERACTIONS
LAMBDA PARTICLES
MASS
MATHEMATICS
MESONS
N/D METHOD
NUCLEONS
NUMERICALS
PHYSICS
PIONS
REACTION KINETICS
RESONANCE
SIGMA PARTICLES
SPIN
STRONG INTERACTIONS
WIENER-HOPF METHOD