The bound state problem of S-wave heavy quark meson-aitimeson systems

Abstract

We investigated systematically whether the S-wave ($\bar{Q}q$) meson and the ($Q\bar{q}$) meson may form S-wave bound states in a chiral SU(3) quark model by solving the resonating group method equation. Here $Q=c$ or $b$ and $q=u$, $d$ or $s$. Our preliminary calculation disfavors the existence of $I=\frac{1}{2}$ ($\bar{Q}l$)-($Q\bar{s}$) molecules ($l=u,d$) while favors the existence of isoscalar $B\bar{B}$, $B^{\ast }{\bar{B}}^{\ast }$ (J=2) and $B{\bar{B}}^{\ast }$ (C=+) molecules. The existence of isovector (charm-anticharm) and (charm-bottom) molecules is also disfavored. Therefore the resonance-like structure $Z^{+}(4051)$ is unlikely to be an S-wave $D^{\ast }{\bar{D}}^{\ast }$ molecule.

8 pages, 7 tables, accepted by Phys. Rev. C

References in corpus (93)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• Observation of a Narrow Meson Decaying to Ds+pi0 at a Mass of 2.32 GeV/c^2
• Chiral Dynamics of the Two Λ(1405) States
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• The New Heavy Mesons: A Status Report
• Meson-Meson interaction in a non-perturbative chiral approach
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• From the Deuteron to Deusons, an Analysis of Deuteronlike Meson-Meson Bound States
• Observation of a Narrow Resonance of Mass 2.46 GeV/c^2 Decaying to D_s^*+ pi^0 and Confirmation of the D_sJ^* (2317) State
• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• Short Range Structure in the X(3872)
• Charmonium
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• Implications of a DK Molecule at 2.32 GeV
• The D*0 D0bar threshold resonance
• SU(3) Chiral Dynamics with Coupled Channels: Eta and Kaon Photoproduction
• A low-lying scalar meson nonet in a unitarized meson model
• The Exotic XYZ Charmonium-like Mesons
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• Interference and binding effects in decays of possible molecular component of X(3872)
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• The X(3872) boson: Molecule or charmonium
• Charmonium Decays of $Y(4260), psi(4160), and psi(4040)
• Gluonic charmonium resonances at BaBar and Belle?
• On meson resonances and chiral symmetry
• Molecular States of Heavy Quark Mesons
• X(3872) and Other Possible Heavy Molecular States
• Observation of two resonance-like structures in the pi+ chi_c1 mass distribution in exclusive B0-bar --> K- pi+ chi_c1 decays
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Confirmation of the Y(4260) Resonance Production in ISR
• Is X(3872) {\sl Really} a Molecular State?
• The Possible Interpretations of Y(4260)
• Diagnostic Decays of the X(3872)
• Evidence for X(3872) --> psi(2S) gamma in B+/- --> X(3872) K+/- decays, and a study of B --> ccbar gamma K
• Suppressed decay into open charm for the Y(4260) being an hybrid
• Estimate for the X(3872) to gamma J/psi decay width
• New Hadron States
• Understanding the $D_{sJ}^{+}(2317)$ and $D_{sJ}^{+}(2460)$ with Sum Rules in HQET
• Is Z^+(4430) a loosely bound molecular state?
• A New State of Baryonium
• One Explanation for the Exotic State Y(4260)
• Possible Molecular Structure of the Newly Observed Y(4260)
• Charmonium's K2 peak
• Possible S-wave Bound-States of Two Pseudoscalar Mesons
• N-N Interactions in the Extended Chiral SU(3) Quark Model
• Heavy quark spin selection rule and the properties of the X(3872)
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• QCD sum rules study of the meson Z^+(4430)
• Combined Description of $\overline{\mathbf{N}}\mathbf{N}$ Scattering and Annihilation With A Hadronic Model
• Threshold effect and π^\pm ψ(2S) peak
• Antiproton-proton partial-wave analysis below 925 MeV/c
• The Y(4260) as an omega chi_{c1} molecular state
• Y(4260) on the lattice
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• Four-quark Bound States in Chiral SU(3) Quark Model
• Dynamically Spontaneous Symmetry Breaking and Masses of Lightest Nonet Scalar Mesons as Composite Higgs Bosons
• ppbar enhancement in B and J/Psi decay
• Strong and radiative decays of the scalars f0(980) and a0(980) in a hadronic molecule approach
• Lifetime of Kaonium
• The meson $Z^{+}(4430)$ as a tetraquark state
• Resonating group method study of kaon-nucleon elastic scattering in the chiral SU(3) quark model
• Chiral Dynamics of the low-energy Kaon-Baryon interactions
• N phi state in chiral quark model
• Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$
• X(1835): A Possible Baryonium?
• N K and Delta K states in the chiral SU(3) quark model
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• X(1835) as a baryonium state with QCD sum rules
• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model
• On possible $S$-wave bound states for a $N\bar{N}$ system within a constituent quark model
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation
• Nucleon-antinucleon Interaction from the Modified Skyrme Model
• Study on N Omega-bar systems in a chiral quark model
• Delta K, Lambda K, and Sigma K states in the extended chiral SU(3) quark model
• A possible Omega-pi molecular state
• Chiral SU(3) Quark Model Study of Tetraquark States: $cn\bar{n}\bar{s}/cs\bar{s}\bar{s}$
• Molecular States and 1^-+ Exotic Mesons
• Preliminary study of the anti-K N interaction in a chiral constituent quark model
• Spectroscopy of Mesons with Heavy Quarks
• Near threshold ppbar enhancement in the J/psi -> omega ppbar decay
• $Qq\bar{Q}{\bar{q}}^{\prime }$ States in Chiral SU(3) Quark Model
• Dynamics study of $Z^{+}(4430)$ and X(3872) in molecular picture
• The charge conjugation quantum number in multiquark systems
• Study on $N\bar{N}$ $S$-wave Elastic Cross Section and Possible Bound States Within a Constituent Quark Model

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