Open charm tetraquarks in broken SU(3)_F symmetry

TL;DR

This paper analyzes the flavor structure and mass spectrum of charmed tetraquarks using broken SU(3)_F symmetry, predicting masses and interpreting recent experimental observations within this framework.

Contribution

It introduces a novel SU(3) flavor multiplet analysis for charmed tetraquarks, predicting masses and explaining recent experimental states as radial excitations.

Findings

Predicted D^*_{s0}(2317) mass within 50 MeV accuracy.

Interpreted D_s^{--}(2900) and D_s^{0}(2900) as radial excitations.

Supported flavor structure with lattice QCD and scattering data.

Abstract

Prompted by a recent lattice QCD calculation, we review the SU(3) light quark flavor structure of charmed tetraquarks with spin-0 diquarks. Fermi statistics forces the three light quarks to be in the representation 3*x3*= 3+6*. This agrees with the weak repulsion in the 15 of the 3x8 in Dbar K scattering studied on the lattice. We analyze the 3+6* multiplet broken by the strange quark mass and determine the five independent masses from the known masses of diquarks. The mass of D^* _{s0}(2317) is predicted within 50 MeV accuracy. The recently observed D_s^{--}(2900) and D_s^{0}(2900), likely part of a I=1 multiplet, with flavor composition c* q* q' s and X_0(2900), an isosinglet with flavor composition c*s* ud, fit naturally in a 3+6* structure as the first radial excitations. We discuss also the decay modes of D^* _{s0}(2317), of the radial excitations and of the predicted particles.