Work

Some aspects of three-quark potentials. II

Year: 2025

Type: article

Abstract: We continue our investigation of the effective string model for the triply heavy quark system, mimicking that in pure S U ( 3 ) gauge theory. We present analytical and numerical studies of the three-quark potential for isosceles and collinear geometries. In the general case, we derive the asymptotic expression of the potential in the infrared limit. Here we also demonstrate the universality of the string tension and interpret the transition between two distinct regimes, occurring when one of the triangle’s angles formed by the quarks is equal to 2 3 π , as a breaking of permutational symmetry. This symmetry breaking implies the emergence of a heavy quark dressed by gluons, transforming in the two-index antisymmetric representation. Additionally, we discuss various aspects of the Y - and Δ -laws, diquarks, and connections to lattice QCD.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/6l7v-7l5m

Author: Oleg Andreev

Institution: Ludwig-Maximilians-Universität München

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Landau Institute for Theoretical Physics, Russian Academy of Sciences

Award: G3627738184