Relativistic corrections to radiative transitions in quarkonium

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1982

OSTI ID:6210258

McClary, R L

In this work estimates are made of (v/c/sup 2/) corrections to E1 radiative decay rates in the psi and T systems. Siegert's theorem is used to reduce the problem of finding these corrections to one of finding (v/c)/sup 2/ corrections to quarkonium bound state wavefunctions. A Breit-Fermi equation is used to describe the c anti c and b anti b systems. Numerical calculations are carried out in two potential models. Each of these potentials consists of a linear confining piece and a Coulomb-like piece which incorporates a short distance cutoff. The short distance cutoff simplifies the calculation of bound state wavefunctions. In these models the best fit to the charmonium fine structure occurs when the confining potential is assumed to be a Lorentz scalar and the Coulomb-like potential is assumed to be a Lorentz vector. Quarkonium bound state wavefunctions which include spin dependent and spin independent (v/c)/sup 2/ corrections are found by solving the Breit-Fermi equation. These wavefunctions are used to calculate quarkonium E1 decay rates. It is found that the node in the 2S radial wavefunction makes the psi' ..-->.. ..gamma.. chi/sub J/ decays sensitive to relativistic effects, especially the fine structure. In particular, the psi' ..-->.. ..gamma.. chi/sub 0/ decay rate is reduced by more than a factor of two compared to the nonrelativistic estimate. The chi/sub J/ ..-->.. ..gamma.. psi decay widths are not sensitive to relativistic effects since neither the initial nor the final c anti c radial wavefunctions have nodes. Relativistic corrections to radiative E1 decay rates in the b anti b system are generally smaller than in the c anti c system. However, estimates of some decay rates, for example those for 2 /sup 3/P/sub J/ ..-->.. ..gamma..T, are very sensitive to wavefunction corrections. These estimates differ substantially from nonrelativistic predictions.

• Research Organization: California Univ., Los Angeles (USA)
• OSTI ID: 6210258
• 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 MOMENTUM
BOSONS
CHARMONIUM
CONFIGURATION MIXING
CORRECTIONS
DATA
E1-TRANSITIONS
ELEMENTARY PARTICLES
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
HADRONS
INFORMATION
INTERACTIONS
MESON RESONANCES
MESONS
MULTIPOLE TRANSITIONS
NUMERICAL DATA
NUMERICAL SOLUTION
PARTICLE PROPERTIES
PARTICLE WIDTHS
PSI RESONANCES
QUARKONIUM
RADIATIVE CORRECTIONS
RADIATIVE DECAY
RELATIVISTIC RANGE
RESONANCE PARTICLES
SPIN
THEORETICAL DATA
UPSILON RESONANCES
VECTOR MESONS
WAVE FUNCTIONS