Covariant tetraquark equations in quantum field theory

Abstract

We derive general covariant coupled equations of QCD describing the tetraquark in terms of a mix of four-quark states $2q2\bar{q}$, and two-quark states $q\bar{q}$. The coupling of $2q2\bar{q}$ to $q\bar{q}$ states is achieved by a simple contraction of a four-quark $q\bar{q}$-irreducible Green function down to a two-quark $q\bar{q}$ Bethe-Salpeter kernel. The resulting tetraquark equations are expressed in an exact field theoretic form, and are in agreement with those obtained previously by consideration of disconnected interactions; however, despite being more general, they have been derived here in a much simpler and more transparent way.

12 pages, 5 figures

References in corpus (3)

• Observation of structure in the $J/\psi$-pair mass spectrum
• The $\sigma$-meson: four-quark vs. two-quark components and decay width in a Bethe-Salpeter approach
• Covariant equations for the tetraquark and more

Cited by in corpus (3)

• Unified tetraquark equations
• Meson scattering and tetraquarks in two-dimensional QCD
• Scattering of mesons and emergence of tetraquarks in two-dimensional QCD