%0 Journal Article %1 Tsai2011Eta_c %A Tsai, Yu-Dai %A Li, Hsiang-nan %A Zhao, Qiang %D 2011 %K eta, etac, mixing %T \$\eta\_c\$ mixing effects on charmonium and \$B\$ meson decays %U http://arxiv.org/abs/1110.6235 %X We include the \$\eta\_c\$ meson into the \$\eta\$-\$\eta'\$-\$G\$ mixing formalism constructed in our previous work, where \$G\$ represents the pseudoscalar gluball. The mixing angles in this tetramixing matrix are constrained by theoretical and experimental implications from relevant hadronic processes. Especially, the angle between \$\eta\_c\$ and \$G\$ is found to be about \$15^\circ\$ from the measured decay width of the \$\eta\_c\$ meson. The pseudoscalar glueball mass \$m\_G\$, and the pseudoscalar densities \$m\_qq,ss,cc\$ and the U(1) anomaly matrix elements associated with the mixed states are solved from the anomalous Ward identities. The solution \$m\_G1.4\$ GeV obtained from the \$\eta\$-\$\eta'\$-\$G\$ mixing is confirmed, while \$m\_qq\$ grows to above the pion mass, and thus increases perturbative QCD (PQCD) predictions for the branching ratios \$Br(B\to\eta'K)\$. We then analyze the \$\eta\_c\$-mixing effects on charmonium magnetic dipole transitions, and on the \$B\to\eta^(\prime)K\_S\$ branching ratios and CP asymmetries, which further improve the consistency between theoretical predictions and data. A predominant observation is that the \$\eta\_c\$ mixing enhances the PQCD predictions for \$Br(B\to\eta'K)\$ by 20\%, but does not alter those for \$Br(B\toK)\$. The puzzle due to the large \$Br(B\to\eta'K)\$ data is then resolved.

@article{Tsai2011Eta_c, abstract = {We include the \$\eta\_c\$ meson into the \$\eta\$-\$\eta'\$-\$G\$ mixing formalism constructed in our previous work, where \$G\$ represents the pseudoscalar gluball. The mixing angles in this tetramixing matrix are constrained by theoretical and experimental implications from relevant hadronic processes. Especially, the angle between \$\eta\_c\$ and \$G\$ is found to be about \$15^\circ\$ from the measured decay width of the \$\eta\_c\$ meson. The pseudoscalar glueball mass \$m\_G\$, and the pseudoscalar densities \$m\_{qq,ss,cc}\$ and the U(1) anomaly matrix elements associated with the mixed states are solved from the anomalous Ward identities. The solution \$m\_G\approx 1.4\$ GeV obtained from the \$\eta\$-\$\eta'\$-\$G\$ mixing is confirmed, while \$m\_{qq}\$ grows to above the pion mass, and thus increases perturbative QCD (PQCD) predictions for the branching ratios \$Br(B\to\eta'K)\$. We then analyze the \$\eta\_c\$-mixing effects on charmonium magnetic dipole transitions, and on the \$B\to\eta^{(\prime)}K\_S\$ branching ratios and CP asymmetries, which further improve the consistency between theoretical predictions and data. A predominant observation is that the \$\eta\_c\$ mixing enhances the PQCD predictions for \$Br(B\to\eta'K)\$ by 20\%, but does not alter those for \$Br(B\to\eta K)\$. The puzzle due to the large \$Br(B\to\eta'K)\$ data is then resolved.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Tsai, Yu-Dai and Li, Hsiang-nan and Zhao, Qiang}, biburl = {https://www.bibsonomy.org/bibtex/2c9b731639f62d9bcb284b72730e3d1b1/cmcneile}, citeulike-article-id = {9970220}, citeulike-linkout-0 = {http://arxiv.org/abs/1110.6235}, citeulike-linkout-1 = {http://arxiv.org/pdf/1110.6235}, day = 28, eprint = {1110.6235}, interhash = {419211aff518b54231ddbb9f78189513}, intrahash = {c9b731639f62d9bcb284b72730e3d1b1}, keywords = {eta, etac, mixing}, month = oct, posted-at = {2011-10-31 08:33:04}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{\$\eta\_c\$ mixing effects on charmonium and \$B\$ meson decays}}, url = {http://arxiv.org/abs/1110.6235}, year = 2011 }