Decays of $J/ψ$ and $ψ^\prime$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
| dc.creator | Li, Gang | |
| dc.creator | Zhao, Qiang | |
| dc.creator | Chang, Chao-Hsi | |
| dc.date | 2007-01-03 | |
| dc.date | 2008-02-15 | |
| dc.date.accessioned | 2026-07-07T11:22:26Z | |
| dc.date.available | 2026-07-07T11:22:26Z | |
| dc.description | We introduce a parametrization scheme for $J/ψ(ψ^\prime)\to VP$ where the effects of SU(3) flavor symmetry breaking and doubly OZI-rule violation (DOZI) can be parametrized by certain parameters with explicit physical interpretations. This scheme can be used to clarify the glueball-$q\bar{q}$ mixing within the pseudoscalar mesons. We also include the contributions from the electromagnetic (EM) decays of $J/ψ$ and $ψ^\prime$ via $J/ψ(ψ^\prime)\to γ^*\to VP$. Via study of the isospin violated channels, such as $J/ψ(ψ^\prime)\to ρη$, $ρη^\prime$, $ωπ^0$ and $ϕπ^0$, reasonable constraints on the EM decay contributions are obtained. With the up-to-date experimental data for $J/ψ(ψ^\prime)\to VP$, $J/ψ(ψ^\prime)\to γP$ and $P\to γγ$, etc, we arrive at a consistent description of the mentioned processes with a minimal set of parameters. As a consequence, we find that there exists an overall suppression of the $ψ^\prime\to 3g$ form factors, which sheds some light on the long-standing "$ρπ$ puzzle". By determining the glueball components inside the pseudoscalar $η$ and $η^\prime$ in three different glueball-$q\bar{q}$ mixing schemes, we deduce that the lowest pseudoscalar glueball, if exists, has rather small $q\bar{q}$ component, and it makes the $η(1405)$ a preferable candidate for $0^{-+}$ glueball. | |
| dc.description | Revised version to appear on J. Phys. G; An error in the code was corrected. There's slight change to the numerical results, while the conclusion is intact | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0701020 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0701020 | |
| dc.identifier | J.Phys.G35:055002,2008 | |
| dc.identifier | doi:10.1088/0954-3899/35/5/055002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194569 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Experiment | |
| dc.title | Decays of $J/ψ$ and $ψ^\prime$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing | |
| dc.type | text |