COUPLING CONSTANTS AND UNSUBTRACTED DISPERSION RELATIONS

Journal Article · Sat Dec 15 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys.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.128.2842· OSTI ID:4768807

Capps, R H

ABS>It is argued that the common occurrence of low-energy resonances and the fact that the cross sections for strongly interacting particles seem to approach nonzero high-energy limits may be related to a physical principle which determines the values of the strong-interaction coupling constants. It is conjectured that, in some cases, these constants may be determined approximately by neglecting inelastic processes and requiring that certain of the lowangular- momentum phase shifts approach plus or minus pi /2 at high energies. Such a calculation may be made by using unsubtracted dispersion relations for the inverse partial-wave amplitudes. This prescription is illustrated in a few simple models. Our present knowledge of the various pion-nucleon forces is insufficient for a realistic calculation of the pionnucleon coupling constant f/ sup 2/. However, a simple calculation involving drastic approximations predicts a value of f/sup 2/ close to the experimental value and a low-energy resonance in the (3,3) state. The relationship of our prescription to that of Albright and McGlinn is discussed briefly. (auth)

• Research Organization: Northwestern Univ., Evanston, Ill.
• NSA Number: NSA-17-005560
• OSTI ID: 4768807
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 128; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
COUPLING
CROSS SECTIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
INTERACTIONS
MOMENTUM
PHASE SHIFT
PHYSICS
RESONANCE
SPECTRAL SHIFT