Assignments of the $Y(2040)$, $\rho (1900)$, and $\rho (2150)$ in the quark model

Abstract

Recently, the BESIII Collaboration reported a resonance $Y(2040)$ with $M=2034\pm 13\pm 9$ MeV and $\Gamma =234\pm 30\pm 25$ MeV in the process of $e^{+}{e}^{-}\to \omega {\pi }^0$. In addition, new measurements with much higher precision for the $\rho (1900)$ and $\rho (2150)$ states are obtained by the BESIII and BABAR Collaborations. In this work, we perform a systematic study on the mass spectrum of the excited $\rho$ resonances using the modified Godfrey-Isgur model, and the strong decays of $Y(2040)$, $\rho (1900)$, and $\rho (2150)$ within the ${}^3{P}_0$ model.We find that $Y(2040)$, $\rho (1900)$, and $\rho (2150)$ can be interpreted as the $\rho (2^3{D}_1)$, $\rho (3^3{S}_1)$, and $\rho (4^3{S}_1)$ states, respectively. Meanwhile, the mass and strong decays of the $\rho (3^3{D}_1)$ state are predicted as well, which could be helpful to search for this state in future.

arXiv comment9 pages, 5 figures, typos are corrected

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• 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
• Study of the $\omega$/${\omega }_3$, $\rho$/${\rho }_3$ and the newly observed $\omega$-like state $X(2220)$
• The assignments of the $B_s$ mesons within the screened potential model and ${}^3{P}_0$ model
• The assignments of the bottom mesons within the screened potential model and ${}^3{P}_0$ model
• Measurement of the cross sections for $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ at center-of-mass energies between 2.00 and 3.08 GeV
• The possible assignments of the scalar $K_0^{\ast }(1950)$ and $K_0^{\ast }(2130)$ within the ${}^3{P}_0$ model
• Revisiting the assignment of $1^3{D}_1$ meson nonet
• Broad resonance structure in $e^{+}{e}^{-}\to f_1(1285){\pi }^{+}{\pi }^{-}$ and higher $\rho$-meson excitations
• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII