Multipole amplitudes in parity-changing one-photon transitions of charmonium

Journal Article · Fri May 01 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.3163· OSTI ID:7301741

Sebastian, K J ^[1]; Grotch, H ^[2]; Ridener, Jr, F L ^[3]

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1. Department of Physics, University of Lowell, Lowell, Massachusetts 01854 (United States)
2. Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
3. The Pennsylvania State University, New Kensington Campus, New Kensington, Pennsylvania 15068 (United States)

We calculate the normalized helicity and multipole amplitudes in the one-photon transitions {psi}{prime}{prime}{r arrow}{chi}{sub {ital J}}+{gamma}, {psi}{prime}{r arrow}{chi}{sub {ital J}}+{gamma}, and {chi}{sub {ital J}}{r arrow}{psi}+{gamma} in any potential model. In the {chi}{sub 2}{r arrow}{psi}+{gamma} and {chi}{sub 1}{r arrow}{psi}+{gamma} decays the normalized {ital M}2 amplitude is independent of the potential to order {ital k}/{ital m} (where {ital k} is the photon energy and {ital m} the {ital c}-quark mass) so long as {psi} has no {ital D}-state mixing and {chi}{sub {ital J}} has no {ital F}-state mixing. They are a multiple of {ital k}/{ital m} and can be quite appreciable. Also the {ital E}3 amplitude in {chi}{sub 2}{r arrow}{psi}+{gamma} is zero with the same approximations. The same statement can be made about the {psi}{prime}{prime}{r arrow}{chi}{sub {ital J}}+{gamma} and {psi}{prime}{r arrow}{chi}{sub {ital J}}+{gamma} decays, so long as {psi}{prime} has no {ital D}-state mixing or {psi}{prime}{prime} has no {ital S}-state mixing. But if {psi}{prime} has a significant {ital D}-state mixing or {psi}{prime}{prime} has an {ital S}-state mixing, which is quite probable, the result will be a function of certain overlap integrals which may depend on the potential. The {ital M}2 amplitude depends sensitively on any possible anomalous magnetic moment of the {ital c} quark. We also calculate the numerical values of the multipole amplitudes in {psi}{prime}{r arrow}{chi}{sub {ital J}}+{gamma}, {psi}{prime}{prime}{r arrow}{chi}{sub {ital J}}+{gamma}, and {chi}{sub {ital J}}{r arrow}{psi}+{gamma} ({ital J}=1,2) in two different potential models.

• OSTI ID: 7301741
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:9; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662340 -- Hadron Interactions-- (1992-)
662350* -- Decays of Mesons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR DISTRIBUTION
BARYON-BARYON INTERACTIONS
BOSONS
CHARMONIUM
D STATES
DISTRIBUTION
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY SPECTRA
ENERGY-LEVEL TRANSITIONS
F STATES
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
HELICITY
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
M2-TRANSITIONS
MAGNETIC MOMENTS
MASS
MASSLESS PARTICLES
MESONS
MULTIPOLE TRANSITIONS
MULTIPOLES
NUCLEON-ANTINUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PHOTONS
POSTULATED PARTICLES
POTENTIALS
PROTON-ANTIPROTON INTERACTIONS
QUARKONIUM
QUARKS
SPECTRA