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

Journal Article · Wed Sep 01 04:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.60.054030· OSTI ID:362727

Pichowsky, M A ^[1]; Walawalkar, S; Capstick, S ^[1]

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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, Journal Name: Physical Review, D Journal Issue: 5 Vol. 60; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTROMAGNETIC FORM FACTORS
ETA MESONS
KAONS
MASS
OMEGA PARTICLES
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
QUARK MODEL