Two- and three-body color flux tubes in the Chromo Dielectric Model

Abstract

Using the framework of the Chromo Dielectric Model we perform an analysis of color electric flux tubes in meson-like $q\bar{q}$ and baryon-like $qqq$ quark configurations. We discuss the Abelian color structure of the model and point out a symmetry in color space as a remnant of the SU(3) symmetry of QCD. The generic features of the model are discussed by varying the model parameters. We fix these parameters by reproducing the string tension $\tau =980$MeV/fm and the transverse width $\rho =0.35$fm of the $q\bar{q}$ flux tube obtained in lattice calculations. We use a bag constant $B^{1/4}=(240-260)$MeV, a glueball mass $m_g=(1000-1700)$MeV and a strong coupling constant $C_F{\alpha }_s=0.2-0.3$. We show that the asymptotic string profile of an infinitely long flux tube is already reached for $q\bar{q}$ separations $R\ge 1.0$fm. A connection to the Dual Color Superconductor is made by extracting a magnetic current from the model equations and a qualitative agreement between the two descriptions of confinement is shown. In the study of the $qqq$ system we observe a $\mathsf{\Delta }$-like geometry for the color electric fields and a \textsf{Y}-like geometry in the scalar fields both in the energy density distribution and in the corresponding potentials. The resulting total $qqq$ potential is described neither by the $\mathsf{\Delta }$-picture nor by the \textsf{Y}-picture alone.

32 pages, 35 eps-figures, revised version, some references + 1 eps-file added, to be published in Phys.Rev.D

References in corpus (36)

• Observing Long Colour Flux Tubes in SU(2) Lattice Gauge Theory
• Efficient glueball simulations on anisotropic lattices
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Confining strings in SU(N) gauge theories
• Static SU(3) potentials for sources in various representations
• The ground state of three quarks
• Dual superconductor models of color confinement
• The static three-quark SU(3) and four-quark SU(4) potentials
• Probing the QCD Vacuum with Static Sources in Maximal Abelian Projection
• A consistent derivation of the quark--antiquark and three quark potentials in a Wilson loop context
• Observing string breaking with Wilson loops
• Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering
• Baryonic Flux in Quenched and Two-Flavor Dynamical QCD after Abelian projection
• The lattice SU(2) confining string as an Abrikosov vortex
• Flux Tubes of Two- and Three-Quark System in Full QCD
• A detailed study of the Abelian-projected SU(2) flux tube and its dual Ginzburg-Landau analysis
• Statistical Mechanics of semi-classical colored Objects
• The Baryon Wilson Loop Area Law in QCD
• Field distributions in heavy mesons and baryons
• Flux-tube structure and beta-functions in SU(2)
• Flux-tubes in three-dimensional lattice gauge theories
• Hadronization of a Quark-Gluon Plasma in the Chromodielectric Model
• Hadronic Spectroscopy from the Lattice: Glueballs and Hybrid Mesons
• The flux distribution of the three quark system in SU(3)
• Microscopic coloured quark-dynamics in the soft non-perturbative regime -- Description of hadron formation in relativistic S+Au collisions at CERN
• The Nucleon-Nucleon Potential in the Chromo-Dielectric Soliton Model: Statics
• A transport theory of relativistic nucleon-nucleon collisions with confinement
• A Quark Transport Theory to describe Nucleon--Nucleon Collisions
• QCD string in mesons and baryons
• A Dynamical Model of Color Confinement
• Dynamical fragmentation of flux tubes in the Friedberg-Lee model
• The Static Baryon Potential
• The Nucleon-Nucleon Interaction in the Chromo-Dielectric Soliton Model: Dynamics
• The profile of the broken string in the confined and deconfined phase in full QCD
• Chromofields of Strings and Baryons
• Casimir scaling hypothesis on the nonperturbative force in QCD vs. dual superconducting scenario of confinement

Cited by in corpus (11)

• Quark-Nuclear Hybrid EoS with Excluded Volume Effects
• Atomic Mass Dependence of Hadron Production in Deep Inelastic Scattering on Nuclei
• Gluons in glueballs: Spin or helicity?
• Meson and glueball spectra with the relativistic flux tube model
• Transient field fluctuations effects in d+Au and Au+Au collisions at \sqrt{s_nn} = 200 GeV
• Strong Color Field Baryonic Remnants in Nucleus-Nucleus Collisions at 200A GeV
• First study of the three-gluon static potential in Lattice QCD
• Interactions of multi-quark states in the chromodielectric model
• Quarkyonic Percolation and deconfinement at finite density and number of colors
• Glueball filled with the quark field as a model of nucleon
• Hagedorn States and Thermalization