The role of the $\omega (4S)$ and $\omega (3D)$ states in mediating the $e^{+}{e}^{-}\to \omega \eta$ and $\omega {\pi }^0{\pi }^0$ processes

Abstract

The $e^{+}{e}^{-}\to \omega \eta$ and $e^{+}{e}^{-}\to \omega {\pi }^0{\pi }^0$ processes are ideal platforms to search for higher $\omega$ states. Focusing on the observations of two enhancement structures around 2.2 GeV existing in $e^{+}{e}^{-}\to \omega \eta$ and $e^{+}{e}^{-}\to \omega {\pi }^0{\pi }^0$ at BESIII, we analyze how the $\omega (4S)$ and $\omega (3D)$ states play the role in the $e^{+}{e}^{-}\to \omega \eta$ and $e^{+}{e}^{-}\to \omega {\pi }^0{\pi }^0$ processes. The present study is supported by theoretical $\omega$ mesonic spectroscopy. For reproducing the data of the cross sections of $e^{+}{e}^{-}\to \omega \eta$ and $\omega {\pi }^0{\pi }^0$, the intermediate $\omega (4S)$ and $\omega (3D)$ should be introduced, which indicates that the enhancement structures around 2.2 GeV existing in $e^{+}{e}^{-}\to \omega \eta$ and $\omega {\pi }^0{\pi }^0$ contain the $\omega (4S)$ and $\omega (3D)$ signals. Nonetheless, in the process $e^{+}{e}^{-}\to \omega \eta$, the $\omega (4S)$ plays a dominant role, while the $\omega (4S)$ and $\omega (3D)$ have similar sizable contributions in the process of $e^{+}{e}^{-}\to \omega {\pi }^0{\pi }^0$, which leads to a difference in the line shape of enhancement structure in the cross sections under the interference effect. Thus, we find a solution to alleviate the puzzling difference of resonance parameter of two reported enhancement structures around 2.2 GeV existing in $e^{+}{e}^{-}\to \omega \eta$ and $e^{+}{e}^{-}\to \omega {\pi }^0{\pi }^0$ at BESIII. The present study provides valuable information to construct $\omega$ meson family, which can be accessible at future experiment like BESIII.

7 pages, 8 figures and 2 tables. Accepted by PRD

References in corpus (15)

• Pentaquark and Tetraquark states
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Light axial vector mesons
• Observation of a resonant structure in $e^{+}{e}^{-}\to \omega \eta$ and another in $e^{+}{e}^{-}\to \omega {\pi }^0$ at center-of-mass energies between 2.00 and 3.08 GeV
• Measurement of the Born cross sections for $e^{+}{e}^{-}\to {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ at center-of-mass energies between $2.00$ and $3.08$ GeV
• Study of the process $e^{+}{e}^{-}\to \varphi \eta$ at center-of-mass energies between 2.00 and 3.08 GeV
• Newly observed $a_0(1817)$ as the scaling point of constructing the scalar meson spectroscopy
• Light unflavor vector meson spectroscopy around the mass range of $2.4\sim 3$ GeV and possible experimental evidence
• Potential higher radial excitations in the light pseudoscalar meson family
• Resonances in $e^{+}{e}^{-}$ annihilation near 2.2 GeV
• Deciphering the light vector meson contribution to the cross sections of $e^{+}{e}^{-}$ annihilations into the open-strange channels through a combined analysis
• Assignments of the $Y(2040)$, $\rho (1900)$, and $\rho (2150)$ in the quark model
• Toward $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ annihilation inspired by higher $\rho$ mesonic states around 2.2 GeV
• Reconciling the X(2240) with the Y(2175)
• The role of $a_1(1260)$ in ${\pi }^{-}p\to a_1^{-}(1260)p$ and ${\pi }^{-}p\to {\pi }^{-}{\rho }^{0}p$ reactions near threshold

Cited by in corpus (4)

• Higher strangeonium decays into light flavor baryon pairs like $\Lambda \bar{\Lambda }$, $\Sigma \bar{\Sigma }$, and $\Xi \bar{\Xi }$
• Study of the $\omega$/${\omega }_3$, $\rho$/${\rho }_3$ and the newly observed $\omega$-like state $X(2220)$
• Role of $4S$-$3D$ mixing in explaining the $\omega$-like $Y(2119)$ observed in $e^{+}{e}^{-}\to \rho \pi$ and $\rho (1450)\pi$
• Decoding the role of $\rho$ mesonic states for elucidating the $e^{+}{e}^{-}\to a_2(1320)\pi$ data and other reactions