Glueball spectrum from $N_f=2$ lattice QCD study on anisotropic lattices

Abstract

The lowest-lying glueballs are investigated in lattice QCD using $N_f=2$ clover Wilson fermion on anisotropic lattices. We simulate at two different and relatively heavy quark masses, corresponding to physical pion mass of $m_{\pi }\sim 938$ MeV and $650$ MeV. The quark mass dependence of the glueball masses have not been investigated in the present study. Only the gluonic operators built from Wilson loops are utilized in calculating the corresponding correlation functions. In the tensor channel, we obtain the ground state mass to be 2.363(39) GeV and 2.384(67) GeV at $m_{\pi }\sim 938$ MeV and $650$ MeV, respectively. In the pseudoscalar channel, when using the gluonic operator whose continuum limit has the form of ${\epsilon }_{ijk}Tr{B}_i{D}_j{B}_k$, we obtain the ground state mass to be 2.573(55) GeV and 2.585(65) GeV at the two pion masses. These results are compatible with the corresponding results in the quenched approximation. In contrast, if we use the topological charge density as field operators for the pseudoscalar, the masses of the lowest state are much lighter (around 1GeV) and compatible with the expected masses of the flavor singlet $q\bar{q}$ meson. This indicates that the operator ${\epsilon }_{ijk}Tr{B}_i{D}_j{B}_k$ and the topological charge density couple rather differently to the glueball states and $q\bar{q}$ mesons. The observation of the light flavor singlet pseudoscalar meson can be viewed as the manifestation of effects of dynamical quarks. In the scalar channel, the ground state masses extracted from the correlation functions of gluonic operators are determined to be around 1.4-1.5 GeV, which is close to the ground state masses from the correlation functions of the quark bilinear operators. In all cases, the mixing between glueballs and conventional mesons remains to be further clarified in the future.

14 pages, 8 figures, 9 tables; typos fixed, minor modifications, match the published version

References in corpus (12)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• High-precision scale setting in lattice QCD
• The Physics of Glueballs
• The Status of Glueballs
• The Experimental Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• Scalar Glueball in Radiative $J/\psi$ Decay on Lattice
• ${\eta }^{\prime }$ meson mass from topological charge density correlator in QCD
• Impact of Dynamical Fermions on QCD Vacuum Structure
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory

Cited by in corpus (29)

• An updated review of the new hadron states
• $T_{cc}^{+}(3875)$ relevant $D{D}^{\ast }$ scattering from $N_f=2$ lattice QCD
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Study of the pseudoscalar glueball in $J/\psi$ radiative decays
• Internal particle width effects on the the triangle singularity mechanism in the study of the $\eta (1405)$ and $\eta (1475)$ puzzle
• Central exclusive diffractive production of $K^{+}{K}^{-}{K}^{+}{K}^{-}$ via the intermediate $\varphi \varphi$ state in proton-proton collisions
• Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
• Dispersive analysis of glueball masses
• Topological susceptibility and ${\eta }^{\prime }$ meson mass from $N_f=2$ lattice QCD at the physical point
• Partial wave analysis of $J/\psi \to \gamma {\eta }^{\prime }{\eta }^{\prime }$
• The Glueball content of ${\eta }_c$
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Radiative Decay Width of $J/\psi \to \gamma {\eta }_{(2)}$ from $N_f=2$ Lattice QCD
• Glueballs at Physical Pion Mass
• $\eta$-glueball mixing from $N_f=2$ lattice QCD
• Annihilation diagram contribution to charmonium masses
• Spectroscopy From The Lattice: The Scalar Glueball
• A Lattice Study of the Two-photon Decay Widths for Scalar and Pseudo-scalar Charmonium
• Study of the exclusive reaction $pp\to pp{K}^{\ast 0}{\bar{K}}^{\ast 0}$: $f_2(1950)$ resonance versus diffractive continuum
• Dispersive analysis of excited glueball states
• Search for the $X(2370)$ and observation of ${\eta }_c\to \eta \eta {\eta }^{\prime }$ in $J/\psi \to \gamma \eta \eta {\eta }^{\prime }$
• Spectrum of Large N Glueballs: Holography vs Lattice
• The radiative decay of scalar glueball from lattice QCD
• Nature of $X(2370)$
• Review of Neutral Naturalness
• Anomalous and Linear Holographic Hard Wall Models for Glueballs and the Pomeron
• A comparative lattice analysis of $SU(2)$ dark gluebal
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments
• Amplitude analysis of $\psi (3686)\to \gamma K_S^0{K}_S^0$