Analysis of the $Y(4220)$ and $Y(4390)$ as molecular states with QCD sum rules

Abstract

In this article, we assign the $Y(4390)$ and $Y(4220)$ to be the vector molecular states $D{\bar{D}}_1(2420)$ and $D^{\ast }{\bar{D}}_0^{\ast }(2400)$, respectively, and study their masses and pole residues with the QCD sum rules in details. The present calculations only favor assigning the $Y(4390)$ to be the $D{\bar{D}}_1(1^{--})$ molecular state.

12 pages, 8 figures

References in corpus (11)

• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Evidence of Two Resonant Structures in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{h}_c$
• Study of $e^{+}{e}^{-}\to \omega {\chi }_{cJ}$ at center-of-mass energies from 4.21 to 4.42 GeV
• Employing spin symmetry to disentangle different models for the XYZ states
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• Scalar tetraquark state candidates: $X(3915)$, $X(4500)$ and $X(4700)$
• Can the ${\pi }^{+}{\chi }_{c1}$ resonance structures be $D^{\ast }{\bar{D}}^{\ast }$ and $D_1\bar{D}$ molecules?
• Production of $Y(4260)$ as a hadronic molecule state of $\bar{D}{D}_1+c.c.$ in $e^{+}{e}^{-}$ annihilations
• Observation of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ and missing higher charmonium $\psi (4S)$
• A note on the newly observed Y(4220) resonance

Cited by in corpus (16)

• Cross section measurements of $e^{+}{e}^{-}\to \omega {\chi }_{c0}$ from $\sqrt{s}=$4.178 to 4.278 GeV
• Analysis of the hidden-charm tetraquark molecule mass spectrum with the QCD sum rules
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Landau equation and QCD sum rules for the tetraquark molecular states
• Lowest vector tetraquark states: $Y(4260/4220)$ or $Z_c(4100)$
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• Analysis of the $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark molecular states with QCD sum rules
• Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$
• Study of ${\Lambda }_c$${\Lambda }_c$ dibaryon and ${\Lambda }_c$${\bar{\Lambda }}_c$ baryonium states via QCD sum rules
• Triply-charmed dibaryon states or two-baryon scattering states from the QCD sum rules?
• Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction
• Analysis of the tetraquark and hexaquark molecular states with the QCD sum rules
• Tetraquark molecular states in the $D_s{\bar{D}}_{s1}$ and $D_s^{\ast }{\bar{D}}_{s0}^{\ast }$ mass spectrum
• Mixing of X and Y states from QCD Sum Rules analysis
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Study of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\omega$ process at center-of-mass energies between 4.0 and 4.6 GeV