Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-07-19
Phys.Rev. D70 (2004) 116010
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, 35 eps-figures, revised version, some references + 1 eps-file added, to be published in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.70.116010
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\ge1.0 $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.
Greiner Carsten
Leupold Stefan
Martens Gunnar
Mosel Ulrich
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