ELEMENTARY PARTICLE THEORY OF COMPOSITE PARTICLES

Journal Article · Mon Apr 15 00:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys.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.130.776· OSTI ID:4707889

Weinberg, S

Any nonrelativistic theory may be written by introducing fictitious elementary particles with arbitrary properties. No physical predictions are affected, provided that tlie interaction part of the Hamiltonian is correspondingly modified. The fictitious elementary particle provides a good representation of a real composite particle if the modified interaction is sufficiently weakened for perturbation theory to work. It corresponds to a truly elementary particle with infinite bare mass, and hence with Z = 0. It is shown how the latter condition yields a sum rule for the coupling of a composite particle to its constituents as a function of energy. The sum rule can be used to evaluate such coupling constants as that for the proton-electrontion, and corresponds to the extraction of a single factor from the full Fredholm determinant. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-17-019129
• OSTI ID: 4707889
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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

COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
ELECTRONS
ELEMENTARY PARTICLES
FIELD THEORY
FREDHOLM THEOREM
HAMILTONIAN
HYDROGEN
INTERACTIONS
MATHEMATICS
PARTICLE MODELS
PERTURBATION THEORY
PHYSICS
PROTONS
VERTEX FUNCTIONS