General proof of the saturation of the Adler-Weisberger sum rule in a quark shell model

Journal Article · Wed Mar 31 23:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.1931· OSTI ID:5433490

Gavela, M B; Le Yaouanc, A; Oliver, L; Pene, O; Raynal, J C

The exact saturation of the Adler-Weisberger sum rule is demonstrated in a model of Dirac particles bound by a central potential. We use a method similar in spirit to the P..-->..infinity approach, suitably modified to deal with a static potential. The pair contribution corresponding to exotic intermediate states is shown to be nonvanishing, but in a nonrelativistic expansion it vanishes order by order as found in low orders by the approach of the previous paper.

• Research Organization: Centre de Physique Theorique de l'Ecole Polytechnique, 91120 Palaiseau, France
• OSTI ID: 5433490
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FIELD THEORIES
MATHEMATICAL MODELS
MATRIX ELEMENTS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SHELL MODELS
SUM RULES
WAVE EQUATIONS