Stability of asymmetric tetraquarks in the minimal-path linear potential

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.

8 pages, 6 figures, pdflatex

References in corpus (6)

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• Stability of multiquarks in a simple string model
• The baryonic Y-shape confining potential energy and its approximants
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Cited by in corpus (16)

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• Precise determination of the three-quark potential in SU(3) lattice gauge theory
• HALL POST INEQUALITIES: review and application to molecules and tetraquarks
• Tetraquark resonances with the triple flip-flop potential, decays in the cherry in a broken glass approximation
• Stability of the pentaquark in a naive string model
• The interplay between compact and molecular structures in tetraquarks
• Analysis of the scalar doubly heavy tetraquark states with QCD sum rules
• An introduction to the quark model
• Fully heavy multiquarks
• Non-Abelian dynamics and heavy multiquarks, Steiner-tree confinement in hadron spectroscopy
• Molecular and compact four-quark states
• The Role of Flavor in Multiquark Spectroscopy