Excited states of $\phi$ meson

In this paper, the excited states of $\phi$ meson, especially containing the newly observed $X(2000)$ with $I(J^P)=0(1^-)$ by the BESIII Collaboration, is studied. In addition, $Y(2175)$ as a $\phi$ {\color{black}{meson excited state}} is investigated. The mass spectrum and strong decay behaviors of $\phi$ {\color{black}{meson excited states}} are analyzed, which indicates that $X(2000)$ and $Y(2175)$ are the candidates of $\phi(3S)$ and $\phi(2D)$ states with $I(J^P)=0(1^-)$, respectively. In addition, {\color{black}{$\phi(1D)$ and $\phi(4S)$ are}} predicted to have the mass of 1.87 GeV and 2.5 GeV and width of 550 MeV and 230 MeV, respectively.
Comment: 6 pages. PRD edition,data updated