Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ground states and the first radially excited states of D-wave vector
  $\rho$ and $\phi$ mesons   In this article, we firstly 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 D-wave vector $\rho$ and $\phi$
mesons. In our calculations, we consider the contributions of vacuum
condensates up to dimension-7 in the operator product expansion. The predicted
masses for $1^{3}D_{1}$ $\rho$ meson and $2^{3}D_{1}$ $\phi$ meson are
consistent well with the experimental data of $\rho$($1700$) and
$\phi$($2170$). Besides, our analysis indicates that it is reliable to assign
the recent reported $Y$($2040$) state as the $2^{3}D_{1}$ $\rho$ 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 $Y$($2040$) state but also to establish $\phi$ meson and $\rho$ meson
families.

4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th