Mixing of X and Y states from QCD Sum Rules analysis

Abstract

We study $\bar{Q}Q\bar{q}q$ and $\bar{Q}qQ\bar{q}$ states as mixed states in QCD sum rules. By calculating the two-point correlation functions of pure states of their corresponding currents, we review the mass and coupling constant predictions of $J^{PC}=1^{++}$, $1^{--}$, $1^{-+}$ states. By calculating the two-point mixed correlation functions of $\bar{Q}Q\bar{q}q$ and $\bar{Q}qQ\bar{q}$ currents, and we estimate the mass and coupling constants of the corresponding `"physical state" that couples to both $\bar{Q}Q\bar{q}q$ and $\bar{Q}qQ\bar{q}$ currents. Our results suggest that $1^{++}$ states are more likely mixing from $\bar{Q}Q\bar{q}q$ and $\bar{Q}qQ\bar{q}$ components, while for $1^{--}$ and $1^{-+}$ states, there is less mixing between $\bar{Q}Q\bar{q}q$ and $\bar{Q}qQ\bar{q}$. Our results suggest the $Y$ series of states have more complicated components.

arXiv comment14 pages,3 figs, 7 tables

References in corpus (37)

• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• New Charmonium States in QCD Sum Rules: a Concise Review
• Can the X(3872) be a 1^{++} four-quark state?
• The X(3872) boson: Molecule or charmonium
• X(3872) and Other Possible Heavy Molecular States
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• The Vector and Axial-Vector Charmonium-like States
• Possible assignments of the $X(3872)$, $Z_c(3900)$ and $Z_b(10610)$ as axial-vector molecular states
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• Reanalysis of the $Y(3940)$, $Y(4140)$, $Z_c(4020)$, $Z_c(4025)$ and $Z_b(10650)$ as molecular states with QCD sum rules
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
• Mass spectra of Zc and Zb exotic states as hadron molecules
• A lattice study of the masses of singlet 0++ mesons
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• QCD Sum-Rule Interpretation of X(3872) with $J^{PC}=1^{++}$ Mixtures of Hybrid Charmonium and $\bar{D}{D}^{\ast }$ Molecular Currents
• $\{Q\bar{s}\}\{{\bar{Q}}^{{(}^{\prime })}s\}$ molecular states in QCD sum rules
• Observation of multiplicity-dependent prompt ${\chi }_{c1}(3872)$ and $\psi (2S)$ production in $pp$ collisions
• 1^{-+} light exotic mesons in QCD
• Near-Maximal Mixing of Scalar Gluonium and Quark Mesons: A Gaussian Sum-Rule Analysis
• QCD sum rule calculation for the charmonium-like structures in the J/psi phi and J/psi omega invariant mass spectra
• Can the ${\pi }^{+}{\chi }_{c1}$ resonance structures be $D^{\ast }{\bar{D}}^{\ast }$ and $D_1\bar{D}$ molecules?
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Exotic $1^{--}$ States in QCD Sum Rules
• Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$
• $D^{\ast }{\bar{D}}^{\ast }$ molecule interpretation of $Z_c(4025)$
• SVZ sum rules : 30 + 1 years later
• Could $Z_c(4025)$ be a $J^P=1^{+}$ $D^{\ast }\overline{D^{\ast }}$ molecular state?
• Analysis of the $Y(4220)$ and $Y(4390)$ as molecular states with QCD sum rules
• Mass Calculations of Light Quarkonium, Exotic $J^{PC}=0^{+-}$ Hybrid Mesons from Gaussian Sum-Rules
• Do psi(4040), psi(4160) signal Hybrid Charmonium?
• Meson-Hybrid Mixing in $J^{PC}=1^{++}$ Heavy Quarkonium from QCD Sum-Rules
• A QCD Sum-Rules Analysis of Vector ($1^{--}$) Heavy Quarkonium Meson-Hybrid Mixing
• QCD sum rules study of X(4350)
• Vector and Scalar Mesons' Mixing from QCD Sum Rules

Cited by in corpus (2)

• Possible Molecular Explanation for the Resonance $Y(4500)$
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules