Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-08-08
Phys.Rev.C76:045203,2007
Physics
Nuclear Physics
Nuclear Theory
11 pages, 2 figures
Scientific paper
10.1103/PhysRevC.76.045203
The axial-vector Ward-Takahashi identity is used to derive mass formulae for neutral pseudoscalar mesons. Flavour symmetry breaking entails non-ideal flavour content for these states. Adding that the \eta^\prime is not a Goldstone mode, exact chiral-limit relations are developed from the identity. They connect the dressed-quark propagator to the topological susceptibility. It is confirmed that in the chiral limit the \eta^\prime mass is proportional to the matrix element which connects this state to the vacuum via the topological susceptibility. The implications of the mass formulae are illustrated using an elementary dynamical model, which includes an Ansatz for that part of the Bethe-Salpeter kernel related to the non-Abelian anomaly. In addition to the current-quark masses, the model involves two parameters, one of which is a mass-scale. It is employed in an analysis of pseudoscalar- and vector-meson bound-states. While the effects of SU(N_f=2) and SU(N_f=3) flavour symmetry breaking are emphasised, the five-flavour spectra are described. Despite its simplicity, the model is elucidative and phenomenologically efficacious; e.g., it predicts \eta-\eta^\prime mixing angles of ~ (-15 degrees) and \pi^0-\eta angles of ~ 1 degree.
Bhagwat Mandar S.
Chang Lei
Liu Yu-Xin
Roberts Craig D.
Tandy Peter. C.
No associations
LandOfFree
Flavour symmetry breaking and meson masses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Flavour symmetry breaking and meson masses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Flavour symmetry breaking and meson masses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-215757