Masses and Mixing of $cq\bar{q}\bar{q}$ Tetraquarks Using Glozman-Riska Hyperfine Interaction

Abstract

In this paper we perform a detailed study of the masses and mixing of the single charmed scalar tetraquarks: $cq\bar{q}\bar{q}$. 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)${}_{\mathrm{F}}$ representations are discussed: ${\overline{15}}_{\mathrm{S}}$, ${\bar{3}}_{\mathrm{S}}$, $6_{\mathrm{A}}$ and ${\bar{3}}_{\mathrm{A}}$. 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 (3 D${}_{\mathrm{s}}^{+}$, 4 D${}^{+}$, 4 D${}^0$) and 16 explicit exotic states. We discuss D${}_{\mathrm{s}}$ 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${}_{\mathrm{s}}^{+}$(2632) in ${\overline{15}}_{\mathrm{S}}$ and with the same masses as D${}_{\mathrm{s}}^{+}$(2317) in $6_{\mathrm{A}}$ representation, which confirm the tetraquark nature of these states.

arXiv comment10 pages, 6 tables, 6 figures. Accepted for publication in Phys. Rev. D

References in corpus (21)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Observation of a Narrow Meson Decaying to Ds+pi0 at a Mass of 2.32 GeV/c^2
• The Spectrum of the Nucleons and the Strange Hyperons and Chiral Dynamics
• Observed D_s(2317) and tentative D(2100-2300) as the charmed cousins of the light scalar nonet
• Study of B- => D**0 pi-(D**0 => D(*)+ pi-) decays
• Measurements of the $D_{sJ}$ resonance properties
• Measurement of Masses and Widths of Excited Charm Mesons $D_2^{\ast }$ and Evidence for Broad States
• QCD sum rule approach for the light scalar mesons as four-quark states
• First observation of a narrow charm-strange meson DsJ(2632) -> Ds eta and D0 K+
• Disentangling two- and four-quark state pictures of the charmed scalar mesons
• From the Kappa via the Ds0*(2317) to the chi_c0: connecting light and heavy scalar mesons
• Options for the SELEX state D$_{s\J}^+(2632)$
• Multichannel calculation for Ds* vector states and the Ds(2632) resonance
• $D_{sJ}^{+}(2632)$: An Excellent Candidate of Tetraquarks
• Diquark-Antidiquark with open charm in QCD sum rules
• Isospin quantum number of D_{s0}^+(2317)
• Production of neutral and doubly charged partners of D_{s0}^+(2317)
• Charmed scalar resonances -- Conventional and four-quark mesons
• Explaining the Ds(2317)
• The BABAR Resonance as a Four-quark Meson

Cited by in corpus (3)

• Constituent quark masses obtained from hadron masses with contributions of Fermi-Breit and Glozman-Riska hyperfine interactions
• Four-quark structure of the excited states of heavy mesons
• Masses of constituent quarks confined in open bottom hadrons