Isospin breaking effects in the X(3872) resonance

Abstract

In this paper we study the effects of isospin breaking in the dynamical generation of the X(3872) state. We also calculate the ratio of the branching fractions of the $X$ decaying into $J/\psi$ with two and three pions, which has been measured experimentally to be close to unity. Together with the X(3872), of positive C-parity, we predict the existence of a negative C-parity state and we comment on which decay channel is more promising to observe this state.

10 pages, 6 figures, study on the line shape of the X(3872) added

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• Short Range Structure in the X(3872)
• Charmonium
• Evidence that the a0(980) and f0(980) are not elementary particles
• Interference and binding effects in decays of possible molecular component of X(3872)
• Analysis of the Quantum Numbers $J^{PC}$ of the X(3872) Particle
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Is X(3872) {\sl Really} a Molecular State?
• Origin of resonances in the chiral unitary approach
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Axial Resonances in the Open and Hidden Charm Sectors
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Estimate for the X(3872) to gamma J/psi decay width
• Line Shapes of the X(3872)
• Measurement of the Dipion Mass Spectrum in X(3872) -> J/Psi Pi+ Pi- Decays
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• Is Z^+(4430) a loosely bound molecular state?
• Heavy quark spin selection rule and the properties of the X(3872)
• Decays of the X(3872) into J/psi and Light Hadrons
• The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)
• Observation of the Decay B=> J/psi eta K and Search for X(3872)=> J/psi eta
• Photon induced Lambda(1520) production and the role of the K^* exchange
• The radiative decay of $\psi (3770)$ into the predicted scalar state X(3700)
• A new tetra-quark interpretation of X(3872)
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Cited by in corpus (102)

• 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
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Observation of a charged (DD*bar)- mass peak in e+e- --> pi+ (DD*bar)- at Ecm=4.26 GeV
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Dynamically generated resonances from the vector octet-baryon octet interaction
• Bounds on the width, mass difference and other properties of X(3872) --> pi+pi-J/psi decays
• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• Light Flavour and Heavy Quark Spin Symmetry in Heavy Meson Molecules
• The Y(3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction
• Evidence for X(3872) from DD* scattering on the lattice
• Production of the X(3872) in charmonia radiative decays
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
• Power Counting and Perturbative One Pion Exchange in Heavy Meson Molecules
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• J/psi gamma and psi(2S) gamma decay modes of the X(3872)
• Isospin breaking, coupled-channel effects, and X(3872)
• A New Hadron Spectroscopy
• Three-body $D\bar{D}\pi$ dynamics for the X(3872)
• Nature of X(3872) from data
• Deriving the existence of $B{\bar{B}}^{\ast }$ bound states from the X(3872) and Heavy Quark Symmetry
• What can radiative decays of the X(3872) teach us about its nature?
• Dynamically generated $J^P=1/2^{-}(3/2^{-})$ singly charmed and bottom heavy baryons
• The Y(4260) as a $J/\psi K\bar{K}$ system
• Dynamically generated resonances from the vector octet-baryon decuplet interaction
• Quarkonium Contribution to Meson Molecules
• The $X(3872)\to J/\psi \gamma$ decay in the $D{\bar{D}}^{\ast }$ molecular picture
• On $X(3872)$ production in high energy heavy ion collisions
• Remarks on the quantum numbers of X(3872) from the invariant mass distributions of the rho J/psi and omega J/psi final states
• Molecular structures in charmonium spectrum: The $XYZ$ puzzle
• Hadronic effects on the X(3872) meson abundance in heavy ion collisions
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• Detecting the long-distance structure of the X(3872)
• $X(3872)$ production and absorption in a hot hadron gas
• Production of the bottom analogues and the spin partner of the X(3872) at hadron colliders
• The production of doubly charmed exotic hadrons in heavy ion collisions
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Charm and hidden charm scalar mesons in the nuclear medium
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Delicate interplay between the D0-D*0, rho0-J/psi, and omega-J/psi channels in the X(3872) resonance
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Finite volume corrections to the binding energy of the X(3872)
• X(3872) and its Partners in the Heavy Quark Limit of QCD
• Revisit the isospin violating decays of $X(3872)$
• Heavy-hadron molecules from light-meson-exchange saturation
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• $D\Xi$ and $D^{\ast }\Xi$ Molecular States from One Boson Exchange
• QCD Sum Rules for the production of the X(3872) as a mixed molecule-charmonium state in B meson decay
• Productions of $X(3872)$, $Z_c(3900)$, $X_2(4013)$, and $Z_c(4020)$ in $B_{(s)}$ decays offer strong clues on their molecular nature
• Binding energy of the $X(3872)$ at unphysical pion masses
• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Triangle singularity in $B^{-}\to K^{-}X(3872);X\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and the X(3872) mass
• Properties of open and hidden charm mesons in light quark matter
• Radiative decays of dynamically generated charmed baryons
• Comprehending Isospin breaking effects of $X(3872)$ in a Friedrichs-model-like scheme
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Predicting isovector charmonium-like states from X(3872) properties
• Couplings between the $\rho$ and $D$- and $D^{\ast }$-mesons
• $D^{\pm }{D}^{\ast \mp }$ Hadronic Atom as a Key to Revealing the $X(3872)$ Mystery
• The composite nature of the $\Lambda (1520)$ resonance
• $X(3872)$, $X(4014)$, and their bottom partners at finite temperature
• $X(3872)$ as virtual companion pole of the charm-anticharm state ${\chi }_{c1}(2P)$
• $D{\bar{D}}^{\ast }$ scattering and ${\chi }_{c1}(3872)$ in nuclear matter
• X(3872) in a hot pion bath
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• Strategies for an accurate determination of the X(3872) energy from QCD lattice simulations
• Study of the lineshape of $X(3872)$ using $B$ decays to $D^0\overline{D}{}^{\ast 0}K$
• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
• The possibility of $X(4014)$ as a $D^{\ast }{\bar{D}}^{\ast }$ molecular state
• Possible precise measurements of the $X(3872)$ mass with the $e^{+}{e}^{-}\to {\pi }^0\gamma X(3872)$ and $p\bar{p}\to \gamma X(3872)$ reactions
• Strong and radiative decays of X(3872) as a hadronic molecule with a negative parity
• Radiative decay of the $X(3872)$ as a mixed molecule-charmonium state in effective field theory
• Dispersive analysis of the isospin breaking in the $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^0{\pi }^{-}$ decays
• The molecular nature of some exotic hadrons
• Study of exotic hadrons with machine learning
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Decay properties of the $X(3872)$ through the Fierz rearrangement
• Triangle singularity in $B^0\to {\pi }^{-}{K}^{+}X(3872)$ via the $D_{s1}\bar{D}{D}^{\ast }$ loop and possible precise measurement of the $X(3872)$ mass
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Analysis of the vector meson transitions among the heavy quarkonium states
• Triple-X and beyond: hadronic systems of three and more X(3872)
• The $X(3872)\to J/\psi \pi \gamma$ and $X(3872)\to J/\psi \pi \pi \gamma$ decays
• Possible ${\Sigma }_c^{\ast }\bar{\Sigma }$ molecular states
• Constrain the ${\chi }_{cJ}\to D^{(\ast )}{\bar{D}}^{(\ast )}$ effective couplings via the $X(3872)\to {\pi }^0{\chi }_{cJ}$ decays
• The X(3872) and other X,Y,Z Resonances as Hidden Charm Meson-Meson Molecules
• The nature of near-threshold XYZ states
• Production of the $X(3872)$ state via the $B^0\to K^{\ast 0}X(3872)$ decay
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)