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

Abstract

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}

Authors:
 [1]; ;  [2]
  1. Department of Physics and Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)|[Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405 (United States)
  2. Department of Physics and Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)
Publication Date:
OSTI Identifier:
362727
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Sep 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; QUANTUM CHROMODYNAMICS; PERTURBATION THEORY; MASS; PIONS; KAONS; OMEGA PARTICLES; ETA MESONS; ELECTROMAGNETIC FORM FACTORS; QUARK MODEL

Citation Formats

Pichowsky, M.A., Walawalkar, S., and Capstick, S. Meson-loop contributions to the {rho}-{omega} mass splitting and {rho} charge radius. United States: N. p., 1999. Web. doi:10.1103/PhysRevD.60.054030.
Pichowsky, M.A., Walawalkar, S., & Capstick, S. Meson-loop contributions to the {rho}-{omega} mass splitting and {rho} charge radius. United States. doi:10.1103/PhysRevD.60.054030.
Pichowsky, M.A., Walawalkar, S., and Capstick, S. Wed . "Meson-loop contributions to the {rho}-{omega} mass splitting and {rho} charge radius". United States. doi:10.1103/PhysRevD.60.054030.
@article{osti_362727,
title = {Meson-loop contributions to the {rho}-{omega} mass splitting and {rho} charge radius},
author = {Pichowsky, M.A. and Walawalkar, S. and Capstick, S.},
abstractNote = {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}},
doi = {10.1103/PhysRevD.60.054030},
journal = {Physical Review, D},
number = 5,
volume = 60,
place = {United States},
year = {1999},
month = {9}
}