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Title: Meson-loop contributions to the {rho}-{omega} mass splitting and {rho} charge radius

Journal Article · · Physical Review, D
 [1]; ;  [1]
  1. Department of Physics and Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)

Contributions of two-pseudoscalar and vector-pseudoscalar meson loops to the {rho}-{omega} mass splitting are evaluated in a covariant model based on studies of the Schwinger-Dyson equations of QCD. The role and importance of the different time orderings of the meson loops are analyzed and compared with those obtained within time-ordered perturbation theory. It is shown that each meson loop contributes less than 10{percent} of the bare mass, and decreases as the masses of the intermediate mesons increase beyond approximately m{sub {rho}}/2. A mass splitting of m{sub {omega}}{minus}m{sub {rho}}{approx}25 MeV is obtained from the {pi}{pi}, K{bar K}, {omega}{pi}, {rho}{pi}, {omega}{eta}, {rho}{eta} and K{sup {asterisk}}K channels. The model is then used to determine the effect of the two-pion loop on the {rho}-meson electromagnetic form factor. It is shown that the inclusion of pion loops increases the {rho}-meson charge radius by 10{percent}. {copyright} {ital 1999} {ital The American Physical Society}

OSTI ID:
362727
Journal Information:
Physical Review, D, Vol. 60, Issue 5; Other Information: PBD: Sep 1999
Country of Publication:
United States
Language:
English

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