Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?

Abstract

In this work, we have investigated whether Y(4260) and ${\mathrm{Z}}_2^{+}(4250)$ could be ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ molecules in the framework of meson exchange model. The off-diagonal interaction induced by $\pi$ exchange plays a dominant role. The $\sigma$ exchange has been taken into account, which leads to diagonal interaction. The contribution of $\sigma$ exchange is not favorable to the formation of molecular state $\mathrm{with}{\mathrm{I}}^{\mathrm{G}}({\mathrm{J}}^{\mathrm{PC}})=0^{-}(1^{--})$, however, it is beneficial to the binding of molecule $\mathrm{with}{\mathrm{I}}^{\mathrm{G}}({\mathrm{J}}^{\mathrm{P}})=1^{-}(1^{-})$. Light vector meson exchange leads to diagonal interaction as well. For ${\mathrm{Z}}_2^{+}(4250)$, the contribution from $\rho$ and $\omega$ exchange almost cancels each other. For the currently allowed values of the effective coupling constants and a reasonable cutoff $\Lambda$ in the range 1-2 GeV, We find that Y(4260) could be accommodated as a ${\mathrm{D}}_1\mathrm{D}$ and ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ molecule, whereas the interpretation of ${\mathrm{Z}}_2^{+}(4250)$ as a ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ molecule is disfavored. The bottom analog of Y(4260) and ${\mathrm{Z}}_2^{+}(4250)$ may exist, and the most promising channels to discovery them are ${\pi }^{+}{\pi }^{-}{\rm Y}$ and ${\pi }^{+}{\chi }_{b1}$ respectively.

21 pages, 3 figures and 7 tables

References in corpus (48)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Phenomenology of Heavy Meson Chiral Lagrangians
• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• The New Heavy Mesons: A Status Report
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• 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
• Short Range Structure in the X(3872)
• Chiral Multiplets of Heavy-Light Mesons
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• The D*0 D0bar threshold resonance
• Strong Decays of Excited Heavy Mesons In Chiral Perturbation Theory
• Gluonic charmonium resonances at BaBar and Belle?
• Molecular States of Heavy Quark Mesons
• Four Quark Interpretation of Y(4260)
• Observation of two resonance-like structures in the pi+ chi_c1 mass distribution in exclusive B0-bar --> K- pi+ chi_c1 decays
• Masses of heavy tetraquarks in the relativistic quark model
• Charming penguins in B => K* pi, K (rho,omega,phi) decays
• Is X(3872) {\sl Really} a Molecular State?
• Confirmation of the Y(4260) Resonance Production in ISR
• The Possible Interpretations of Y(4260)
• Is X(3872) a molecule?
• Suppressed decay into open charm for the Y(4260) being an hybrid
• Exotic mesons in quenched lattice QCD
• Effective Lagrangian for Heavy and Light Mesons: Semileptonic Decays
• Measurement of the near-threshold $e^{+}{e}^{-}\to D\bar{D}$ cross section using initial-state radiation
• Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_B$
• Measurement of the near-threshold $e^{+}{e}^{-}\to D^{(\ast )\pm }D{}^{\ast \mp }$ cross section using initial-state radiation
• Study of the Exclusive Initial-State Radiation Production of the $D\bar{D}$ System
• Light Vector Resonances in the Effective Chiral Lagrangian for Heavy Mesons
• Is Z^+(4430) a loosely bound molecular state?
• Rates for the reactions antiproton-proton --> pi phi and gamma phi
• Charmonium's K2 peak
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• On the coupling of heavy mesons to pions in QCD
• Canonical Charmonium Interpretation for Y(4360) and Y(4660)
• Threshold effect and π^\pm ψ(2S) peak
• Meson-Meson Scattering in the Quark Model: Spin Dependence and Exotic Channels
• BB Intermeson Potentials in the Quark Model
• Exotic mesons from quantum chromodynamics with improved gluon and quark actions on the anisotropic lattice
• Chiral loop corrections to strong decays of positive and negative parity charmed mesons
• Width of exotics from QCD sum rules : tetraquarks or molecules?
• Lattice calculations of hadron properties
• Review of Heavy Hadron Spectroscopy
• Couplings of pions to higher positive parity heavy mesons

Cited by in corpus (144)

• Heavy quarkonium: progress, puzzles, and opportunities
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• New Charmonium States in QCD Sum Rules: a Concise Review
• Decoding the riddle of Y(4260) and $Z_c(3900)$
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Multiquark States
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• An overview of $XYZ$ new particles
• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• Coupled-channel analysis of the possible $D^{(\ast )}{D}^{(\ast )}$, ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states
• Production of the X(3872) in charmonia radiative decays
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• $Y(4260)$ as the first $S$-wave open charm vector molecular state?
• Exploring the threshold behavior and implications on the nature of Y(4260) and $Z_c(3900)$
• Isospin breaking, coupled-channel effects, and X(3872)
• $Z_c(3900)$: what has been really seen?
• Employing spin symmetry to disentangle different models for the XYZ states
• Y(4260) and Y(4360) as mixed hadrocharmonium
• Charged Exotic Charmonium States
• Y(4260): hadronic molecule versus hadro-charmonium interpretation
• Measurement of the e+e- --> D0D*-pi+ cross section using initial-state radiation
• The Y(4260) as a $J/\psi K\bar{K}$ system
• Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules
• Predicting another doubly charmed molecular resonance $T_{cc}^{\prime +}(3876)$
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• The observed charmed hadron ${\Lambda }_c(2940{)}^{+}$ and the $D^{\ast }N$ interaction
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Probing new types of $P_c$ states inspired by the interaction between an $S$-wave charmed baryon and an anticharmed meson in a $\bar{T}$ doublet state
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• Heavy Antiquark--Diquark Symmetry and Heavy Hadron Molecules: Are There Triply Heavy Pentaquarks?
• The BESIII Physics Programme
• On the Nature of X(4260)
• Nonresonant explanation for the Y(4260) structure observed in the $e^{+}{e}^{-}\to J/\psi {\pi }^{+}{\pi }^{-}$ process
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• Prediction of hidden-charm pentaquarks with double strangeness
• Selected strong decay modes of Y(4260)
• Molecular picture for $X_0(2900)$ and $X_1(2900)$
• The open-charm radiative and pionic decays of molecular charmonium Y(4274)
• Possible triple-charm molecular pentaquarks from ${\Xi }_{cc}{D}_1/{\Xi }_{cc}{D}_2^{\ast }$ interactions
• Investigating possible decay modes of $Y(4260)$ under the $D_1(2420)\bar{D}+c.c$ molecular state ansatz
• Production of $Y(4260)$ as a hadronic molecule state of $\bar{D}{D}_1+c.c.$ in $e^{+}{e}^{-}$ annihilations
• Hidden-charm pentaquarks with triple strangeness due to the ${\Omega }_c^{(\ast )}{\bar{D}}_s^{(\ast )}$ interactions
• The $P$-wave $[cs][\bar{c}\bar{s}]$ tetraquark state: Y(4260) or Y(4660)?
• Strong decays of the $XYZ$ states
• Observation of Three Charmoniumlike States with $J^{PC}=1^{--}$ in $e^{+}{e}^{-}\to D^{\ast 0}{D}^{\ast -}{\pi }^{+}$
• Suppression of the S-wave production of (3/2)^+ + (1/2)^- heavy meson pairs in e^+e^- annihilation
• Exotic double-charm molecular states with hidden or open strangeness and around $4.5\sim 4.7$ GeV
• Exotic $1^{--}$ States in QCD Sum Rules
• Another tetraquark structure in the ${\pi }^{+}{\chi }_{c1}$ invariant mass distribution
• Unified Fano-like interference picture for charmonium-like states $Y(4008)$, $Y(4260)$ and $Y(4360)$
• Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?
• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Observation of the $Y(4230)$ and evidence for a new vector charmonium-like state $Y(4710)$ in $e^{+}{e}^{-}\to K_S^0{K}_S^{0}J/\psi$
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Nature of the $Y(4260)$: A light-quark perspective
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Newly observed $X(4630)$: a new charmoniumlike molecule
• Radiative decay Y(4260) -> X(3872) + gamma involving hadronic molecular and charmonium components
• Hidden charmed states and multibody color flux-tube dynamics
• Heavy quark spin selection rules in meson-antimeson states
• Prediction of an exotic state around 4240 MeV with $J^{PC}=1^{-+}$ as C-parity partner of Y(4260) in molecular picture
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Interference effects in the X(4260) signal
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Status of quarkonia - like negative and positive parity states in a relativistic confinement scheme
• X_1(2900) as a D_1 K molecule
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• $X(4260)$ Revisited: A Coupled Channel Perspective
• Baryonium Study in Heavy Baryon Chiral Perturbation Theory
• The decays of the fully open flavor state $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario
• Possible molecular states of ${\bar{D}}^{\ast }{K}^{\ast }$ ($D^{\ast }{K}^{\ast }$) and the new exotic states $X_0(2900)$ and $X_1(2900)$ ($T_{cs0}^a(2900{)}^0$ and $T_{cs0}^a(2900{)}^{++}$)
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Cross section line shape of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ around the $Y(4260)$ mass region
• Mass spectrum of the scalar hidden charm and bottom tetraquark states
• Observation of $e^{+}{e}^{-}\to K\bar{K}J/\psi$ at center-of-mass energies from 4.189 to 4.600 GeV
• Possible $B^{(\ast )}\bar{K}$ hadronic molecule state
• Y(4260) as a mixed charmonium-tetraquark state
• Y(4626) as a molecular state from interaction $D_s^{\ast }{\bar{D}}_{s1}(2536)-D_s{\bar{D}}_{s1}(2536)$
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Cross section measurements of $e^{+}{e}^{-}\to p\bar{p}{\pi }^0$ at center-of-mass energies between 4.008 and 4.600 GeV
• Bound States of the Heavy Flavor Vector Mesons and Y(4008) and $Z_1^{+}(4050)$
• Reanalysis of the mass spectrum of the scalar hidden charm and hidden bottom tetraquark states
• Probing the $XYZ$ states through radiative decays
• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• Prediction of possible $D{K}_1$ bound states
• Triangle singularities in ${\bar{B}}^0\to {\chi }_{c1}{K}^{-}{\pi }^{+}$ relevant to $Z_1(4050)$ and $Z_2(4250)$
• Studying the ${\bar{D}}_{1}K$ molecule in the Bethe-Salpeter equation approach
• Measurements of the branching fractions of ${\eta }_c\to K^{+}{K}^{-}{\pi }^0$, $K_S^0{K}^{\pm }{\pi }^{\mp }$,$2({\pi }^{+}{\pi }^{-}{\pi }^0)$, and $p\bar{p}$
• Predictions of the hidden-charm molecular states with four-quark component
• Production of the spin partner of the X(3872) in e^+e^- collisions
• Measurements of $e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp }{\pi }^0$ and $K_S^0{K}^{\pm }{\pi }^{\mp }\eta$ at center-of-mass energies from $3.90$ to $4.60\mathrm{GeV}$
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
• Predicted $\Lambda \bar{\Lambda }$ and ${\Xi }^{-}{\bar{\Xi }}^{+}$ decay modes of the charmoniumlike $Y(4230)$
• ${\rm Y}(6S)$ and triangle singularity in $e^{+}{e}^{-}\to B_1(5721)\bar{B}\to Z_b(10610)\pi$
• Coupled-Channel-Induced $S-D$ mixing of Charmonia and Testing Possible Assignments for $Y(4260)$ and $Y(4360)$
• Theoretical study of scalar meson $a_0(1710)$ in the ${\eta }_c\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ reaction
• Mass spectrum of $1^{--}$ heavy quarkonium
• Studying the $D_{1}D$ molecule in the Bethe-Salpeter equation approach
• On leptonic width of $X(4260)$
• Search for the isospin violating decay $Y(4260)\to J/\psi \eta {\pi }^0$
• Hadronic states with both open charm and bottom in effective field theory
• Predicting exotic molecular states composed of nucleon and P-wave charmed meson
• Production of $P-$wave charmed and charmed-strange mesons in pion and kaon induced reactions
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• The spin parity of $Z_c^{-}$(4100), $Z_1^{+}$(4050) and $Z_2^{+}$(4250)
• Exotic ccbar spectroscopy
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Search for the $B\to Y(4260)K,Y(4260)\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Are there near-threshold Coulomb-like Baryonia?
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Theoretical Interpretations of the XYZ Mesons
• Quark model description of $\psi (4260)$
• Tetraquark molecular states in the $D_s{\bar{D}}_{s1}$ and $D_s^{\ast }{\bar{D}}_{s0}^{\ast }$ mass spectrum
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Production of $1^{-+}$ exotic charmonium-like states in electron-positron collisions
• $K^{-}d\to \pi \Sigma n$ reactions and structure of the $\Lambda (1405)$
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Observation of Three Resonant Structures in the Cross Section of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{h}_c$
• $B_{s1}(5778)$ as a $B^{\ast }\bar{K}$ molecule in the Bethe-Salpeter equation approach
• $D$ wave charmonia
• Measurement of $e^{+}{e}^{-}\to \varphi {\eta }^{\prime }$ cross sections at center-of-mass energies between 3.508 and 4.600 GeV
• Development of Bethe-Salpeter theory for dealing with unstable system
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• The nature of near-threshold XYZ states
• Hadronic molecules and multiquark states
• Calculation of mass and width of unstable molecular state using the developed Bethe-Salpeter theory
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules
• Predicting charmed-strange molecular tetraquarks with $K^{(\ast )}$ and $T$-doublet charmed or anticharmed meson
• An analysis on doubly bottom molecular tetraquarks composed of $H_{(s)}$ and $T_{(s)}$ doublets
• Pinpointing Physical Solutions in Y(4230) Decays