Dynamical SU(3) linear sigma model and the mixing of eta'-eta and sigma-f_0 mesons

Abstract

The SU(3) linear sigma model is dynamically generated in loop-order using the nonstrange-strange basis. Only self-consistent logarithmic divergent graphs are needed, with quadratic divergent graphs replaced by SU(3) mass-shell equal splitting laws. The latter lead to an eta'-eta mixing angle of 41.84 deg which is consistent with phenomenology. Finally this above SU(3) linear sigma model in turn predicts strong decay rates which are all compatible with data.

14 pages, 1 figure, elsart; version to appear in J. Phys. G, appendix added, some typos corrected

References in corpus (4)

• A low-lying scalar meson nonet in a unitarized meson model
• Dynamical generation of the gauged SU(2) linear sigma model
• Why the f(0)(980) is mostly ssbar
• Revisiting the U_A(1) problems

Cited by in corpus (11)

• The three-flavor chiral phase structure in hot and dense QCD matter
• Fluctuations and the axial anomaly with three quark flavors
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Determining the $\eta -{\eta }^{\prime }$ mixing by the newly measured $BR(D(D_s)\to \eta ({\eta }^{\prime })+\bar{l}+{\nu }_l$
• Study on the strong decays of $\varphi (2170)$ and a grand expectation for the future charm-tau factory
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• The Quark-Level Linear σ Model
• eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach. II. The gamma^* gamma transition form factors
• Scalar meson dynamics in Chiral Perturbation Theory
• Determining the effective Wilson coefficient $a_2$ in terms of $BR(B_s\to {\eta }_c\varphi )$ and evaluating $BR(B_s\to {\eta }_c{f}_0(980))$
• Bypassing the axial anomalies