The dynamical diquark model: first numerical results

Jesse F. Giron, Richard F. Lebed, Curtis T. Peterson

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


We produce the first numerical predictions of the dynamical diquark model of multiquark exotic hadrons. Using Born-Oppenheimer potentials calculated numerically on the lattice, we solve coupled and uncoupled systems of Schrödinger equations to obtain mass eigenvalues for multiplets of states that are, at this stage, degenerate in spin and isospin. Assuming reasonable values for these fine-structure splittings, we obtain a series of bands of exotic states with a common parity eigenvalue that agree well with the experimentally observed charmoniumlike states, and we predict a number of other unobserved states. In particular, the most suitable fit to known pentaquark states predicts states below the charmonium-plus-nucleon threshold. Finally, we examine the strictest form of Born-Oppenheimer decay selection rules for exotics and, finding them to fail badly, we propose a resolution by relaxing the constraint that exotics must occur as heavy-quark spin-symmetry eigenstates.

Original languageEnglish (US)
Article number61
JournalJournal of High Energy Physics
Issue number5
StatePublished - May 1 2019


  • Heavy Quark Physics
  • Lattice QCD

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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