Some Properties of the $QQq$-Quark Potential in String Models

Abstract

We propose a string theory construction which allows us to study properties of the potential of two heavy quarks coupled to a light quark. In such a case, the potential is a function of separation between the heavy quarks. The results show the universality of the string tension and factorization at small separations expected from heavy quark-diquark symmetry. In addition, we make an estimate of the string breaking distance. With the parameter values we use, this distance is found to be almost the same as that for the heavy quark-antiquark potential. We also discuss the heavy quark-quark potential and its relation to Lipkin rule.

Comments: 22 pages, 13 figures; v2: typos fixed; v3: discussion improved, results unchanged, reference added; v4: sect.V rewritten, references added, accepted for publication in JHEP