Unified tetraquark equations

A. N. Kvinikhidze, B. Blankleider

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3 Citations (Scopus)
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We derive covariant equations describing the tetraquark in terms of an admixture of two-body states DD- (diquark-antidiquark), MM (meson-meson), and three-body-like states qq-(Tqq-), qq (Tq-q-), and q-q-(Tqq) where two of the quarks are spectators while the other two are interacting (their t matrices denoted correspondingly as Tqq- , Tq-q-, and Tqq). This has been achieved by describing the qqq-q- system using the Faddeev-like four-body equations of Khvedelidze and Kvinikhidze [Theor. Math. Phys. 90, 62 (1992)] while retaining all two-body interactions (in contrast to previous works where terms involving isolated two-quark scattering were neglected). As such, our formulation, is able to unify seemingly unrelated models of the tetraquark, like, for example, the DD- model of the Moscow group [Faustov et al., Universe 7, 94 (2021)] and the coupled channel DD-− MM model of the Giessen group [Heupel et al., Phys. Lett. B 718, 545 (2012)].
Original languageEnglish
Article number094014
Number of pages11
JournalPhysical Review D
Issue number9
Publication statusPublished - 1 May 2023


  • Bethe-Salpeter equation
  • Feynman diagrams
  • Strong interaction


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