Meson Mass Decomposition from Lattice QCD

Abstract

Hadron masses can be decomposed as a sum of quark and glue components which are defined through hadronic matrix elements of QCD operators. The components consist of the quark mass term, the quark energy term, the glue energy term, and the trace anomaly term. We calculate these components for mesons with lattice QCD for the first time. The calculation is carried out with overlap fermion on $2+1$ flavor domain-wall fermion gauge configurations. We confirm that $\sim 50\%$ of the light pion mass comes from the quark mass term and $\sim 10\%$ comes from the quark energy; whereas, while for the $\rho$ meson, the quark energy contributes roughly half of its mass but the quark mass term contributes little. The combined glue components contribute $\sim 40-50\%$ for both mesons. It is interesting to observe that the quark mass contribution to the mass of the vector meson is almost linear in quark mass over a large quark mass region below the charm quark mass. For heavy mesons, the quark mass term dominates the masses, while the contribution from the glue components is about $200$ MeV (a bare value around 2GeV) for the heavy pseudoscalar and vector mesons. The charmonium hyperfine splitting is found to be dominated by the quark energy term which is consistent with the picture of the quark potential model.

8 pages, 12 figures, revised version accept to PRD. Typo corrected

References in corpus (15)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• A QCD Analysis of the Mass Structure of the Nucleon
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• Strangeness and charmness content of nucleon from overlap fermions on 2+1-flavor domain-wall fermion configurations
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Solutions of the Ginsparg-Wilson Relation
• Neutrino Dimuon Production and the Strangeness Asymmetry of the Nucleon
• Gluon contributions to the pion mass and light cone momentum fraction
• GW fermion propagators and chiral condensate
• Heavy and Light Quarks with Lattice Chiral Fermions
• Non-perturbative renormalization of overlap quark bilinears on 2+1-flavor domain wall fermion configurations
• Renormalization group, trace anomaly and Feynman-Hellmann theorem

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• Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses
• Revisiting the proton mass decomposition
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Proton Mass Decomposition and Hadron Cosmological Constant
• Gravitational form factors of pion from top-down holographic QCD
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Trace anomaly contribution to hydrogen atom mass
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• Composite Dark Matter and a horizontal symmetry
• Gluons in charmoniumlike states
• Gauge-invariant decomposition of meson energy in two-dimensional QCD
• Scale-anomaly-induced binding pressure in hadrons
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD
• Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium
• Effective Fermion Mass in Relativistic and Non-Relativistic Systems