Angular distribution of photons in the parity-changing one-photon radiative decays of quarkonia

Journal Article · Mon Oct 01 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.2293· OSTI ID:6313730

Doncheski, M A; Grotch, H ^[1]; Sebastian, K J ^[2]

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1. Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, University Park, PA (USA)
2. Department of Physics and Applied Physics, University of Lowell, Lowell, MA (USA)

We derive a general expression, correct to order {ital v}{sup 2}/{ital c}{sup 2} and valid in any potential model, for the angular distribution of photons in the parity-changing one-photon radiative decays of quarkonia, in terms of its different multipole contributions {ital E}1, {ital M}2, and {ital E}3. The expression is given in terms of Clebsch-Gordan coefficients and six reduced matrix elements. We make detailed numerical calculations for the radiative decays of charmonium using Buchmueller-Tye and Gupta-Radford-Repko potential models and find that there is not much difference in the angular distributions between the two models. It is interesting to note that the {ital E}3 contributions to the decays {psi}{prime}{r arrow}{chi}{sub 2}+{gamma} and {chi}{sub 2}{r arrow}{psi}+{gamma} are nonvanishing only if {psi}{prime} and {psi} have admixtures of {ital D} states in them.

• OSTI ID: 6313730
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:7; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR DISTRIBUTION
BOSONS
CHARMONIUM
CLEBSCH-GORDAN COEFFICIENTS
D STATES
DISTRIBUTION
E1-TRANSITIONS
E3-TRANSITIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
HADRONS
INVARIANCE PRINCIPLES
M2-TRANSITIONS
MASSLESS PARTICLES
MATRIX ELEMENTS
MESONS
MULTIPOLE TRANSITIONS
P INVARIANCE
PHOTONS
POTENTIALS
QUARKONIUM
RADIATIVE DECAY
RELATIVITY THEORY
WAVE FUNCTIONS