The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons

Abstract

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 $\varphi$ 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 $2^3{D}_1$ $\varphi$ meson are consistent well with the experimental data of $\rho$($1700$) and $\varphi$($2170$). 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 $\varphi$ meson and $\rho$ meson families.

References in corpus (20)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Observation of Y(2175) in $J/\psi \to \eta \varphi f_0(980)$
• Analysis of Y(2175) as a tetraquark state with QCD sum rules
• A Candidate for $1^{--}$ Strangeonium Hybrid
• Y(2175): Distinguish Hybrid State from Higher Quarkonium
• Higher Tetraquark Particles
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• The Y(2175) State in the QCD Sum Rule
• Study of J/psi->eta phi pi+pi- at BESIII
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• 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
• Observation of a structure in $e^{+}{e}^{-}\to \varphi {\eta }^{\prime }$ at $\sqrt{s}$ from 2.05 to 3.08 GeV
• ϕK^{+}K^{-} production in electron-positron annihilation
• Nature of the vector resonance $Y(2175)$
• Analysis of the 1S and 2S states of the ${\Lambda }_Q$ and ${\Xi }_Q$ with the QCD sum rules
• The $\varphi (2170)$ production in the process $\gamma p\to \eta \varphi p$
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$
• Strong evidence of $\rho (1250)$ from a unitary multichannel reanalysis of elastic scattering data with crossing-symmetry constraints

Cited by in corpus (3)

• Broad resonance structure in $e^{+}{e}^{-}\to f_1(1285){\pi }^{+}{\pi }^{-}$ and higher $\rho$-meson excitations
• Analysis of the strong vertices ${\Lambda }_c{D}^{(\ast )}{N}^{\ast }(1535)$ and ${\Lambda }_b{B}^{(\ast )}{N}^{\ast }(1535)$ in QCD sum rules
• Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays