Abstract
We use gauge/string duality to model a doubly heavy diquark in a color antitriplet moving in a thermal plasma at temperatures near the critical. With the assumption that there is no relative motion between the constituents, we calculate the drag force on the diquark. At high enough speed we find that diquark string configurations develop a cusp. In addition, we estimate the spatial string tension at non-zero baryon chemical potential, and also briefly discuss an extension to a triply heavy triquark in a color triplet.
Highlights
The concept of a diquark emerged quite naturally and inescapably as an organizing principle for hadron spectroscopy [1].1 it originates from the fact that in quantum chromodynamics (QCD), a strong force between quarks in a color antitriplet channel 3 ̄ is attractive
It originates from the fact that in QCD, a strong force between quarks in a color antitriplet channel 3 ̄ is attractive
Since diquarks may be very useful degrees of freedom to focus on in QCD, it is of great importance to study them in a pure and isolated form and determine their parameters
Summary
The concept of a diquark emerged quite naturally and inescapably as an organizing principle for hadron spectroscopy [1].1 it originates from the fact that in QCD, a strong force between quarks in a color antitriplet channel 3 ̄ is attractive. The numerical analysis shows that for bottomonium states Tdiss is compatible with 2Tc [3] This opens a narrow window of opportunity for studying heavy diquarks in isolation. One of the profound implications of the AdS/CFT correspondence for QCD is that it rekindled interest in finding its string description (string dual) This time the main efforts have been focused on a five (ten)-dimensional string theory in a curved space rather than on an old-fashioned. Our goal here is quite specific: to see what insight can be gained into doubly heavy diquarks moving in a hot medium by using five-dimensional effective string models. Enough, for more realistic string models, such a proposal gives reasonable estimates for the heavy quark diffusion coefficients which are compatible with those of lattice QCD [7]. IV with a discussion of several open problems that we hope will stimulate further research
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