${\rm Y}(4S,5S)\to {\rm Y}(1S)\eta$ transitions in the rescattering model and the new BaBar measurement

Abstract

The $\eta$ transitions of ${\rm Y}(4S,5S)$ into ${\rm Y}(1S,2S)$ are studied in the rescattering model by considering the final state interactions above the $B\bar{B}$ threshold. The width of the $\eta$ transition of ${\rm Y}(4S)$ into ${\rm Y}(1S)$ is found to be larger than that of the dipion transition, and the ratio of $\Gamma ({\rm Y}(4S)\to {\rm Y}(1S)\eta )$ to $\Gamma ({\rm Y}(4S)\to {\rm Y}(1S){\pi }^{+}{\pi }^{-})$ is predicted to be $R_4=1.8-4.5$, which is about two orders of magnitude larger than the expectation of the conventional hadronic transition theory, and is supported by the new BaBar measurement. The widths of the $\eta$ transitions of ${\rm Y}(5S)$ are found to be sensitive to the coupling constants $g_{{\rm Y}(5S)B^{(\ast )}{B}^{(\ast )}}$ due to a large cancelation between contributions from the $B\bar{B}$, $B^{\ast }\bar{B}+c.c.$, and $B^{\ast }{\bar{B}}^{\ast }$ channels, and only a rough estimate $\Gamma ({\rm Y}(5S)\to {\rm Y}(1S,2S)\eta )=10-200$ KeV can be given. The widths of the ${\eta }^{\prime }$ transitions of ${\rm Y}(4S,5S)$ are also discussed, and they could be much smaller than that of the corresponding $\eta$ transitions mainly due to the tiny phase space.

Version published in PRD, 5 pages, 1 figure

References in corpus (10)

• Charmonium
• Is X(3872) {\sl Really} a Molecular State?
• Observation of anomalous Upsilon(1S)pi+pi- and Upsilon(2S)pi+pi- production near the Upsilon(5S) resonance
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Scalar Resonance Contributions to the Dipion Transition Rates of ${\rm Y}(4S,5S)$ in the re-scattering model
• The Hidden Charm Decay of $X(3872),Y(3940)$ and Final State Interaction Effects
• Searching for the Bottom Counterparts of X(3872) and Y(4260) via ${\pi }^{+}{\pi }^{-}{\rm Y}$
• Peak shifts due to $B^{(\ast )}-{\bar{B}}^{(\ast )}$ rescattering in ${\rm Y}(5S)$ dipion transitions
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method

Cited by in corpus (17)

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• Prediction of anomalous ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ transitions
• Exploring the ${\rm Y}(6S)\to {\chi }_{bJ}\varphi$ and ${\rm Y}(6S)\to {\chi }_{bJ}\omega$ hidden-bottom hadronic transitions
• Predicted $\Lambda \bar{\Lambda }$ and ${\Xi }^{-}{\bar{\Xi }}^{+}$ decay modes of the charmoniumlike $Y(4230)$
• Exploring the ${\rm Y}(4S,5S,6S)\to h_b(1P)\eta$ hidden-bottom hadronic transitions
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
• Detecting the polarization in ${\chi }_{cJ}\to \varphi \varphi$ decays to probe hadronic loop effect
• Single eta production in heavy quarkonia: breakdown of multipole expansion
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• Production of charmonium ${\chi }_{cJ}(2P)$ plus one $\omega$ meson by $e^{+}{e}^{-}$ annihilation
• $B^{(\ast )}{\bar{B}}^{(\ast )}$ intermediate state contribution to ${\rm Y}(4S,5S)\to {\eta }_b+\gamma$ radiative decay
• $D$ wave bottomonia production from $Z_b^{(\prime )}$ decay
• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$
• Charmonium decays into ${\Lambda }_c{\bar{\Lambda }}_c$ pair governed by the hadronic loop mechanism
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$