E sub 1+ / M sub 1+ and S sub 1+ / M sub 1+ and their Q sup 2 dependence in. gamma. sub v N r arrow. Delta. with relativized quark-model wave functions
- Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213-3890 (USA)
- Department of Physics, University of Guelph, Guelph, Ontario, Canada N1G 2W1 (CA)
We calculate the multipole ratios {ital E}{sub 1+}/{ital M}{sub 1+} (electric quadrupole to magnetic dipole) and {ital S}{sub 1+}/{ital M}{sub 1+} (scalar quadrupole to magnetic dipole) for the reaction {gamma}{sub {ital v}}{ital N}{r arrow}{Delta}. We use the nonrelativistic transition operators but wave functions expanded in a large harmonic-oscillator basis which are the solutions of a relativized'' Hamiltonian (relativized wave functions), in order to test the dependence of the results on truncation of the wave-function basis. Our results show an {ital M}{sub 1+} multipole closer to the experimental data at the photon point, {ital E}{sub 1+}(0)/{ital M}{sub 1+}(0){congruent}{minus}0.2, and smaller values of these ratios than previous calculations at all {ital Q}{sup 2}. The current-conservation condition between {ital S}{sub 1+} and {ital L}{sub 1+} (the longitudinal quadrupole multipole) is also satisfied to a better approximation with the relativized wave functions at values of {ital Q}{sup 2} where the model is believable.
- DOE Contract Number:
- AC02-76ER03066
- OSTI ID:
- 6804014
- Journal Information:
- Physical Review, D (Particles Fields); (USA), Vol. 41:9, Issue 9; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
QUARK MODEL
WAVE FUNCTIONS
E1-TRANSITIONS
HAMILTONIANS
HARMONIC OSCILLATOR MODELS
M1-TRANSITIONS
MULTIPOLES
PHOTOPRODUCTION
RELATIVITY THEORY
BASIC INTERACTIONS
COMPOSITE MODELS
ELECTROMAGNETIC INTERACTIONS
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MULTIPOLE TRANSITIONS
PARTICLE MODELS
PARTICLE PRODUCTION
QUANTUM OPERATORS
645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties