Detailed analysis of the gluonic excitation in the three-quark system in lattice QCD

Abstract

We study the excited-state potential and the gluonic excitation in the static three-quark (3Q) system using SU(3) lattice QCD with $16^3\times 32$ at $\beta$=5.8 and 6.0 at the quenched level. For about 100 different patterns of spatially-fixed 3Q systems, we accurately extract the excited-state potential $V_{3Q}^{e.s.}$ together with the ground-state potential $V_{3Q}^{g.s.}$ by diagonalizing the QCD Hamiltonian in the presence of three quarks. The gluonic excitation energy $\Delta E_{3Q}\equiv V_{3Q}^{e.s.}-V_{3Q}^{g.s.}$ is found to be about 1 GeV at the typical hadronic scale. This large gluonic-excitation energy is conjectured to give a physical reason of the success of the quark model for low-lying hadrons even without explicit gluonic modes. We investigate the functional form of $\Delta E_{3Q}$ in terms of the 3Q location. The lattice data of $\Delta E_{3Q}$ are relatively well reproduced by the ``inverse Mercedes Ansatz'' with the ``modified Y-type flux-tube length'', which indicates that the gluonic-excitation mode is realized as a complicated bulk excitation of the whole 3Q system.

arXiv comment13pages, 13figures

References in corpus (18)

• QCD forces and heavy quark bound states
• Fine Structure of the QCD String Spectrum
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Locality and exponential error reduction in numerical lattice gauge theory
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Three-Quark Potential in SU(3) Lattice QCD
• Color Confinement, Quark Pair Creation and Dynamical Chiral-Symmetry Breaking in the Dual Ginzburg-Landau Theory
• The static three-quark SU(3) and four-quark SU(4) potentials
• First Study for the Pentaquark Potential in SU(3) Lattice QCD
• Flux Tubes of Two- and Three-Quark System in Full QCD
• The Baryon Wilson Loop Area Law in QCD
• Baryons and confining strings
• The gluonic excitation of the three-quark system in SU(3) lattice QCD
• On the center-vortex baryonic area law
• Hybrid and Conventional Baryons in the Flux-Tube Model
• Three-body relativistic flux tube model from QCD Wilson-loop approach
• Lattice QCD at finite T and μ
• Behind the success of the quark model

Cited by in corpus (30)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Detailed Analysis of the Tetraquark Potential and Flip-Flop in SU(3) Lattice QCD
• First Study for the Pentaquark Potential in SU(3) Lattice QCD
• The three-quark static potential in perturbation theory
• Some Aspects of Three-Quark Potentials
• Constituent-quark model description of triply heavy-baryon nonperturbative lattice QCD data
• Search for the possible S=+1 Pentaquark states in Quenched Lattice QCD
• Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma
• Energy spectrum of the low-lying gluon excitations in the Coulomb gauge
• Three-quark potential and Abelian dominance of confinement in SU(3) QCD
• Precise determination of the three-quark potential in SU(3) lattice gauge theory
• Coulomb energy and gluon distribution in the presence of static sources
• Heavy quark free energies for three quark systems at finite temperature
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• Heavy-baryon quark model picture from lattice QCD
• First study of the three-gluon static potential in Lattice QCD
• Mass spectra and decays of ground and orbitally excited $c\bar{b}$ states in non relativistic quark model
• Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges
• Instantaneous interquark potential in generalized Landau gauge in SU(3) lattice QCD: a possible gauge for the quark potential model
• Different faces of confinement
• Doubly heavy baryon spectra guided by lattice QCD
• Gluonic profile of the static baryon at finite temperature
• Three-quark potential at finite temperature and chemical potential
• Role of Large Gluonic Excitation Energy for Narrow Width of Penta-Quark Baryons in QCD String Theory
• Baryonic hybrids: Gluons as beads on strings between quarks
• Peristaltic modes of single vortex in the Abelian Higgs model
• Gluonic-Excitation Energies and Abelian Dominance in SU(3) QCD
• Tetraquark and Pentaquark Systems in Lattice QCD
• Strings of diquark-quark (QQ)Q baryon before phase transition