The role of electromagnetic interaction in the $X(3872)$ and its analogs

Abstract

We investigate the role of the electromagnetic interaction in the formation and decay of the $X(3872)$. The binding properties of the $X(3872)$ are studied by assuming the molecular nature and considering the $S$-$D$ wave mixing, isospin breaking, and coupled channel effects, and in particular the correction from the electromagnetic interaction. The radiative decays can better reflect the difference between the charged and neutral $D{\bar{D}}^{\ast }$ components, since the electromagnetic interaction explicitly breaks the isospin symmetry. We further study the radiative decay widths with the obtained wave functions for different $D{\bar{D}}^{\ast }$ channels. We also explore other similar hidden-charm molecular states. The electromagnetic interaction can make the molecule tighter. Our result of the radiative decay width for $X(3872)\to \gamma J/\psi$ is in agreement with the experiment. The branching ratio $R_{\gamma \psi }$ is less than 1 in our framework, which supports the Belle and BESIII measurements.

17 pages, 8 figures, 7 tables

References in corpus (55)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• An updated review of the new hadron states
• Charmonium
• Observation of an exotic narrow doubly charmed tetraquark
• Higher Charmonia and X,Y,Z states with Screened Potential
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Can the X(3872) be a 1^{++} four-quark state?
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• X(3872) and Other Possible Heavy Molecular States
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Axial Resonances in the Open and Hidden Charm Sectors
• Observation of a $J/\psi \Lambda$ resonance consistent with a strange pentaquark candidate in $B^{-}\to J/\psi \Lambda \bar{p}$ decays
• Isospin breaking effects in the X(3872) resonance
• Is Z^+(4430) a loosely bound molecular state?
• Isospin breaking, coupled-channel effects, and X(3872)
• $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ molecular state
• Possible S-wave Bound-States of Two Pseudoscalar Mesons
• Molecular picture for the $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ $J^P=0^{+}$ state and related $1^{+},2^{+}$ states
• What can radiative decays of the X(3872) teach us about its nature?
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Vector and axial-vector couplings of D and D* mesons in 2+1 flavor Lattice QCD
• Dibaryon with highest charm number near unitarity from lattice QCD
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• Radiative E1 decays of X(3872)
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• Do $c\bar{c}n\bar{n}$ bound states exist?
• Prediction of triple-charm molecular pentaquarks
• Double-charm tetraquark under the complex scaling method
• Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules
• X(3872) as a 1D2 charmonium state
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• The molecular systems composed of the charmed mesons in the $H\bar{S}+h.c.$ doublet
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Exotic double-charm molecular states with hidden or open strangeness and around $4.5\sim 4.7$ GeV
• The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Unquenched quark-model calculation of X(3872) electromagnetic decays
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Radiative decays of the spin-$2$ partner of $X(3872)$
• $D^{\pm }{D}^{\ast \mp }$ Hadronic Atom as a Key to Revealing the $X(3872)$ Mystery
• Does the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ exist?
• Charmonium possibility of X(3872)
• New type of hydrogenlike charm-pion or charm-kaon matter

Cited by in corpus (4)

• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$