Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$

Abstract

Using the soft-pion theorem and the assumption on the final-state interactions, we include the contribution of $DK$ continuum into the QCD sum rules for $D_{sJ}(2317)$ meson. We find that this contribution can significantly lower the mass and the decay constant of $D_s(0^{+})$ state. For the value of the current quark mass $m_c(m_c)=1.286\mathrm{GeV}$, we obtain the mass of $D_s(0^{+})$ $M=2.33\pm 0.02\mathrm{GeV}$ in the interval $s_0=7.5-8.0{\mathrm{GeV}}^2$, being in agreement with the experimental data, and the vector current decay constant of $D_s(0^{+})$ $f_0=0.128\pm 0.013\mathrm{GeV}$, much lower than those obtained in previous literature.

References in corpus (32)

• 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
• Implications of a DK Molecule at 2.32 GeV
• Observed D_s(2317) and tentative D(2100-2300) as the charmed cousins of the light scalar nonet
• Excited Heavy-Light Systems and Hadronic Transitions
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• B Decays as Spectroscope for Charmed Four-quark States
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• Observation of a New D_s Meson Decaying to D K at a Mass of 2.86 GeV/c^2
• f_B and f_B_s from QCD sum rules
• Experimental Tests of Asymptotic Freedom
• Understanding the $D_{sJ}^{+}(2317)$ and $D_{sJ}^{+}(2460)$ with Sum Rules in HQET
• Description of the $D_s^{\ast }(2320)$ resonance as the $D\pi$ atom
• Open Charm and Beauty Chiral Multiplets in QCD
• Radiative transitions of $D_{sJ}^{\ast }(2317)$ and $D_{sJ}(2460)$
• The DsJ(2317): what can the Lattice say?
• The spectrum of D_s mesons from lattice QCD
• Strong coupling of excited heavy mesons
• Strange quark mass from e+e- revisited and present status of light quark masses
• Open-charm meson spectroscopy
• Mass singularities in light quark correlators: the strange quark case
• Current correlators to all orders in the quark masses
• Three-loop non-diagonal current correlators in QCD and NLO corrections to single-top-quark production
• Heavy-light current correlators at order ${\alpha }_s^2$ in QCD and HQET
• Continuum bound states K-long, D_{1}(2420), D_{s1}(2536) and their partners K-short, D_{1}(2400), D*_{sJ}(2463)
• D and D_{S} decay constants from QCD duality at three loops
• Charm as a domain wall fermion in quenched lattice QCD
• The effect of $B\pi$ continuum in the QCD sum rules for the $(0^{+},1^{+})$ heavy meson doublet in HQET
• B and B_s decay constants from QCD Duality at three loops
• Observation of a Narrow Resonance of Mass 2.46 GeV/c^2 in the D_s^*+π^0 Final State, and Confirmation of the D_sJ^*(2317)
• Chiral Symmetry Breaking, Duality in the \bar{Q}q Channel and b -> c anti-c s Decays

Cited by in corpus (25)

• Pentaquark and Tetraquark states
• The Physics of the B Factories
• A review of the open charm and open bottom systems
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• Charmed-strange mesons revisited: mass spectra and strong decays
• Higher radial and orbital excitations in the charmed meson family
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• Masses of Scalar and Axial-Vector B Mesons Revisited
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Revisiting $D_{s0}^{\ast }(2317)$ as a $0^{+}$ tetraquark state from QCD sum rules
• Masses and decay constants of the heavy tensor mesons with QCD sum rules
• The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths
• The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
• The mass spectrum and strong decay properties of the charmed-strange mesons within Godfrey-Isgur model considering the coupled-channel effects
• Analysis of the nonet scalar mesons as tetraquark states with new QCD sum rules
• Arrangement for $K_2^{\ast }$ meson family
• Radiative decays of the charmed mesons in a modified relativistic quark model
• Semileptonic decays of $B_{s1}$, $B_{s2}^{\ast }$, $B_{s0}$ and $B_{s1}^{\prime }$
• Pseudoscalar Goldstone Bosons Scattering off Charmed Baryons with Chiral Perturbation Theory
• SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar $D^{+}$ mesons from QCD sum rules
• Newly observed $\kappa$(2600) and the highly excited states of the $K_0^{\ast }$ family
• Analysis of the hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ and their bottom analogs with QCD sum rules