Masses and mixing of cq(q)over-bar(q)over-bar tetraquarks using Glozman-Riska hyperfine interaction
In this paper we perform a detailed study of the masses and mixing of the single charmed scalar tetraquarks: cq (q) over bar(q) over bar. We also give a systematic analysis of these tetraquark states by weight diagrams, quantum numbers, and flavor wave functions. Tetraquark masses are calculated using four different fits. The following SU(3)(F) representations are discussed: (15) over bar (S), (3) over bar (S), 6(A), and (3) over bar (A). We use the flavor-spin Glozman-Riska interaction Hamiltonian with SU(3) flavor symmetry breaking. There are 27 different tetraquarks composed of a charm quark c and of the three light flavors u, d, s: 11 cryptoexotic (3D(s)(+),4D(+),4D(0)) and 16 explicit exotic states. We discuss D(s) and its isospin partners in the same multiplet, as well as all the other four-quark states. Some explicit exotic states appear in the spectrum with the same masses as D(s)(+)(2632) in (15) over bar (S) and with the same masses as D(s)(+)(2317) in 6(A) representation, wh...ich confirm the tetraquark nature of these states.