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Two- and three-body color flux tubes in the Chromo Dielectric Model | Gunnar Martens
; Carsten Greiner
; Stefan Leupold
; Ulrich Mosel
; | Date: |
19 Jul 2004 | Journal: | Phys.Rev. D70 (2004) 116010 | Subject: | hep-ph nucl-th | Abstract: | Using the framework of the Chromo Dielectric Model we perform an analysis of color electric flux tubes in meson-like $qar{q}$ 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 $ au=980 $MeV/fm and the transverse width $
ho=0.35 $fm of the $qar{q}$ 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 $qar{q}$ separations $Rge1.0 $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 extsf{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 extsf{Y}-picture alone. | Source: | arXiv, hep-ph/0407215 | Services: | Forum | Review | PDF | Favorites |
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