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Stability of asymmetric tetraquarks in the minimal-path linear potential

2009/01/20 by Cafer Ay, Jean-Marc Richard, J. Hyam Rubinstein +1 · 1 citation
Mathematics · Physics and Astronomy · #High-Energy Particle Collisions Research #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph #math-ph #math.MP

paper · pdf · doi:10.1016/j.physletb.2009.03.018

published as Phys.Lett.B674:227-231,2009 · 8 pages, 6 figures, pdflatex

arxiv created 2009/01/20 · openalex publication_date 2009/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The linear potential binding a quark and an antiquark in mesons is generalized to baryons and multiquark configurations as the minimal length of flux tubes neutralizing the color, in units of the string tension. For tetraquark systems, i.e., two quarks and two antiquarks, this involves the two possible quark–antiquark pairings, and the Steiner tree linking the quarks to the antiquarks. A novel inequality for this potential demonstrates rigorously that within this model the tetraquark is stable in the limit of large quark-to-antiquark mass ratio.

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