Structural dissection of hadronic molecules: The $D^{(\ast )}{\bar{K}}^{(\ast )}$ family under QCD light-cone sum rules

Abstract

We investigate the static electromagnetic properties of three charm--strange molecular tetraquark candidates with quantum numbers $J^P=1^{+}$, namely the $D{\bar{K}}^{\ast }$, $D^{\ast }\bar{K}$, and $D^{\ast }{\bar{K}}^{\ast }$ systems. The analysis is carried out within the framework of QCD light-cone sum rules, using interpolating currents constructed from colour-singlet meson bilinears to reflect their molecular configurations. Both perturbative and non-perturbative photon contributions are included,and numerical predictions for the magnetic and electric quadrupole moments are obtained. The magnetic moments are found to lie in the range $1$--$3$ nuclear magnetons, with the largest value associated with the $D^{\ast }\bar{K}$ configuration. The quadrupole moments are an order of magnitude smaller, of order $10^{-3}{\mathrm{fm}}^2$, indicating only weak deviations from spherical charge distributions. A flavour decomposition shows that the magnetic response is dominated by the light quarks, while the charm-quark contribution is strongly suppressed, a feature naturally expected for loosely bound hadronic molecules. The present analysis extends QCD light-cone sum-rule studies of exotic hadrons by providing a systematic determination of the electromagnetic moments of the $D^{(\ast )}{\bar{K}}^{(\ast )}$ molecular systems. These results provide quantitative benchmarks that may help discriminate between molecular configurations and more compact multiquark interpretations and may offer useful guidance for future experimental studies of electromagnetic signatures of charm--strange exotic states.

arXiv comment18 pages, 4 tables, 1 figure, accepted for publication in Progress of Theoretical and Experimental Physics (PTEP)

References in corpus (55)

• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• An updated review of the new hadron states
• Exotics: Heavy Pentaquarks and Tetraquarks
• QCD at Low Energies
• New Charmonium States in QCD Sum Rules: a Concise Review
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Four-Quark Hadrons: an Updated Review
• A survey of heavy-heavy hadronic molecules
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Photon Distribution Amplitudes in QCD
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• The Vector and Axial-Vector Charmonium-like States
• Tetra- and penta-quark structures in the constituent quark model
• Four-quark exotic mesons
• Doubly-hidden scalar heavy molecules and tetraquarks states from QCD at NLO
• Molecular picture for the $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ $J^P=0^{+}$ state and related $1^{+},2^{+}$ states
• Determination of the magnetic susceptibility of the quark condensate using radiative heavy meson decays
• First observation of a doubly charged tetraquark and its neutral partner
• Hadronic molecules in B decays
• Analysis of the $Z_c(4200)$ as axial-vector molecule-like state
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• Parity of ${\Theta }^{+}$(1540) from QCD sum rules
• Amplitude analysis of $B^0\to {\overline{D}}^0{D}_s^{+}{\pi }^{-}$ and $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ decays
• Analysis of the $Z_{cs}(3985)$ as the axialvector tetraquark state
• Two-Hadron-Irreducible QCD Sum Rule for Pentaquark Baryon
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Z_c -like spectra from QCD Laplace sum rules at NLO
• The doubly charmed pseudoscalar tetraquarks $T_{cc;\bar{s}\bar{s}}^{++}$ and $T_{cc;\bar{d}\bar{s}}^{++}$
• Landau equation and QCD sum rules for the tetraquark molecular states
• Review of the QCD sum rules for exotic states
• New charged resonance $Z_c^{-}(4100)$: the spectroscopic parameters and width
• Tetraquarks in large-$N_c$ QCD
• Magnetic and quadrupole moments of the $Z_c(3900)$
• Tetraquark-adequate formulation of QCD sum rules
• Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Two-particle contributions and nonlocal effects in the QCD sum rules for the axialvector tetraquark candidate $Z_c(3900)$
• The ${\bar{B}}^0\to D^{\ast +}{\bar{D}}^{\ast 0}{K}^{-}$ reaction to detect the $I=0,J^P=1^{+}$ partner of the $X_0(2866)$
• QCD sum rules for the anti-charmed pentaquark
• Quark condensate for various heavy flavors
• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
• The electromagnetic multipole moments of the charged open-flavor $Z_{\bar{c}q}$ states
• The magnetic moment of $Z_c(3900)$ as an axial-vector molecular state
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$
• The electromagnetic multipole moments of the possible charm-strange pentaquarks in light-cone QCD
• Analysis of the hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ and their bottom analogs with QCD sum rules