DESCRIPTION OF STRONG COUPLING AND THE RESONANCE PROBLEM IN MESON-NUCLEON SCATTERING

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Nuclear Phys.

DOI:https://doi.org/10.1016/0029-5582(61)90099-2· OSTI ID:4842122

Jahn, H

A discussion is presented of the strong-coupling method in meson field theory. By means of a canonical and nonlinear transformation of variables the original meson field is split into a free meson part and a self--field part of the nucleon. The transformation is defined so thnt the interaction between the compound nucleon system thus arising and the free mesons vanishes in the case of infinitely strong coupling. It is shown that there exists a family of transformations satisfying the conditions. A system of equations for certain transformation functions is stated as the consequence of the conditions. The solutions of the fleld-splitting problem are investigated. The general scheme for a strongcoupling approximation method based on this field splitting is derived, and the problem of calculating the pion-nucleon resonance scattering from the strong coupling theory is treated on this basis. A special approximation is made for calculations near the resonance. Numerical results obtained from such a calculation are discussed. The symmetric scalar fixed- source meson theory is used, but the principle of the method is the same in the more essential but more complicated symmetric pseudoscalar case. Thus the present considerations serve to guide an analogous investigation using the symmetric pseudoscalar theory. (auth)

• Research Organization: Max-Planck-Institut fur Physik und Astrophysik, Munich
• NSA Number: NSA-15-029897
• OSTI ID: 4842122
• Journal Information: Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 26
• Country of Publication: Country unknown/Code not available
• Language: German

Related Subjects

CANONICAL TRANSFORMATION
DIFFERENTIAL EQUATIONS
FIELD THEORY
INTERACTIONS
MESONS
NUCLEONS
NUMERICALS
PHYSICS
PIONS
RESONANCE
SCATTERING
STRONG INTERACTIONS