The ground states and the first radially excited states of D-wave vector ρ and ϕ mesons.

In this paper, we first derive two QCD sum rules QCDSR I and QCDSR II which are, respectively, used to extract observable quantities of the ground states and the first radially excited states of the D-wave vector ρ and ϕ mesons. In our calculations, we consider the contributions of vacuum condensates up to dimension-7 in the operator product expansion. The predicted masses for 1 3 D 1 ρ meson and 2 3 D 1 ϕ meson are consistent well with the experimental data of ρ (1 7 0 0) and ϕ (2 1 7 0), respectively. Besides, our analysis indicates that it is reliable to assign the recent reported Y (2 0 4 0) state as the 2 3 D 1 ρ meson. Finally, we obtain the decay constants of these states with QCDSR I and QCDSR II. These predictions are helpful not only to reveal the structure of the newly observed Y (2 0 4 0) state, but also to establish ϕ meson and ρ meson families. [ABSTRACT FROM AUTHOR]