THE PHYSICAL NUCLEON IN STATIC SOURCE MESON THEORY

Journal Article · Mon Jun 01 04:00:00 EDT 1959 · Annals of Physics (New York) (U.S.)

DOI:https://doi.org/10.1016/0003-4916(59)90015-6· OSTI ID:4243626

Halpern, F R; Sartori, L; Nishimura, K; Spitzer, R

A wave function for the physical nucleon in static source meson theory was constructed by the method of moments. The wave function includes contributions from states containing as many as five mesons and is shown to be a good approximation to the ground state of the Hamiltonian. Because of the restrictive nature of the static model, the probability that the meson cloud have a particular angular momentum or isotopic spin tums out to be almost independent of the dynamics of the system. Since the matrix elements of the nucleon spin and isotopic spin operators can be expressed in terms of these probabilities, such matrix elements are determined essentially by the kinematics of the meson cloud. This fact renders unreliable any predictions of the static model which depend on matrix elements of the nucleon operators. The consistent failure of the static model to explain satisfactorily the scalar part of the magnetic moment may be ascribed to this cause. The quantities which depend on meson operators are more closely related to the dynamics of the system. The vector part of the magnetic moment is in agreement with experiment, and the electron-neutron interaction turns out much too large; these results differ little from those obtained by the Chew-Low one-meson approximation. However, the contributions of the many meson states are not negligible, and the mean number of mesons is found to be closer to two than to one. Evaluation of the charge renormalization allows a test of the scattering amplitudes predicted by the static model against the sum rules of Cini and Fubini. It is found that, for the conventional value of renormalized coupling constant, the sum rules are strongly violated. This result, together with the substantial many meson component of the wave function, casts doubt on the validity of the onemeson approximation in the static model. (auth)

• Research Organization: Princeton Univ., N.J.; Rutgers Univ., NEw Brunswick, N.J.; Columbia Univ., New York
• NSA Number: NSA-13-016410
• OSTI ID: 4243626
• Journal Information: Annals of Physics (New York) (U.S.), Journal Name: Annals of Physics (New York) (U.S.) Vol. Vol: 7; ISSN APNYA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
COUPLING
ELECTRONS
FIELD THEORY
INTERACTIONS
ISOSPIN
MAGNETIC MOMENTS
MATRICES
MESONS
MOMENTUM
NEUTRONS
NUCLEONS
PARTICLE MODELS
PHYSICS AND MATHEMATICS
QUANTUM MECHANICS
SCATTERING
VECTORS