Interactions of multi-quark states in the chromodielectric model

Abstract

We investigate 4-quark ($qq\bar{q}\bar{q}$) systems as well as multi-quark states with a large number of quarks and anti-quarks using the chromodielectric model. In the former type of systems the flux distribution and the corresponding energy of such systems for planar and non-planar geometries are studied. From the comparison to the case of two independent $q\bar{q}$-strings we deduce the interaction potential between two strings. We find an attraction between strings and a characteristic string flip if there are two degenerate string combinations between the four particles. The interaction shows no strong Van-der-Waals forces and the long range behavior of the potential is well described by a Yukawa potential, which might be confirmed in future lattice calculations. The multi-quark states develop an inhomogeneous porous structure even for particle densities large compared to nuclear matter constituent quark densities. We present first results of the dependence of the system on the particle density pointing towards a percolation type of transition from a hadronic matter phase to a quark matter phase. The critical energy density is found at ${\epsilon }_c=1.2GeV/f{m}^3$.

arXiv comment19 pages, 40 eps-figures, RevTex 4, v2: typos corrected

References in corpus (42)

• Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Exotic Anti-Decuplet of Baryons: Prediction from Chiral Solitons
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• The Pressure in 2, 2+1 and 3 Flavour QCD
• Observing Long Colour Flux Tubes in SU(2) Lattice Gauge Theory
• Efficient glueball simulations on anisotropic lattices
• Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• Monopoles and string tension in SU(2) QCD
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
• Static SU(3) potentials for sources in various representations
• String Clustering and J/Psi Suppression in Nuclear Collisions
• Detailed Analysis of the Tetraquark Potential and Flip-Flop in SU(3) Lattice QCD
• Dual superconductor models of color confinement
• Probing the QCD Vacuum with Static Sources in Maximal Abelian Projection
• Detectability of Strange Matter in Heavy Ion Experiments
• The (dual) Meissner effect in SU(2) and SU(3) QCD
• Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering
• Flux Tubes of Two- and Three-Quark System in Full QCD
• Statistical Mechanics of semi-classical colored Objects
• Hadronization of a Quark-Gluon Plasma in the Chromodielectric Model
• Hadronic Spectroscopy from the Lattice: Glueballs and Hybrid Mesons
• Microscopic coloured quark-dynamics in the soft non-perturbative regime -- Description of hadron formation in relativistic S+Au collisions at CERN
• Lattice QCD at non-zero chemical potential and the resonance gas model
• The Nucleon-Nucleon Potential in the Chromo-Dielectric Soliton Model: Statics
• Multi-Quark Energies in SU(2) Lattice Gauge Theory
• A transport theory of relativistic nucleon-nucleon collisions with confinement
• Finite T/μlattice QCD and the critical point
• A Quark Transport Theory to describe Nucleon--Nucleon Collisions
• QCD string in mesons and baryons
• Two- and three-body color flux tubes in the Chromo Dielectric Model
• Four-quark flux distribution and binding in lattice SU(2)
• Profiles of the broken string in two-flavor QCD below and above the finite temperature transition
• J/ψ-dissociation by a color electric flux tube
• Dynamical fragmentation of flux tubes in the Friedberg-Lee model
• Inter-meson Potentials in Dual Ginzburg-Landau Theory
• The Nucleon-Nucleon Interaction in the Chromo-Dielectric Soliton Model: Dynamics
• SU(3) String-Flip Potential Models and Nuclear Matter
• Chromofields of Strings and Baryons
• Four-quark energies in SU(2) lattice Monte Carlo using a tetrahedral geometry
• Stability and structure of quark matter in a molecular dynamics framework

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• The interplay between compact and molecular structures in tetraquarks
• Cluster reducibility of multiquark operators
• Strange quark matter as dark matter: 40 years later, a reappraisal
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