Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states

Abstract

We calculate the magnetic dipole moments of doubly strange hidden-charm pentaquark states with spin-parity $J^P=1/2^{-}$ and $3/2^{-}$ using QCD light-cone sum rules (LCSR), presenting the first systematic LCSR investigation of the electromagnetic multipole structure in the $S=-2$ sector. To assess the model dependence, we employ independent interpolating currents in diquark-diquark-antiquark form, which probe different assumptions about the internal color-spin correlations. For the spin-$3/2$ states, we also compute the electric quadrupole and magnetic octupole moments. The magnetic dipole moments exhibit a considerable spread across currents, ranging from $-2.15{\mu }_N$ to $5.74{\mu }_N$ for spin-$1/2$ pentaquarks and from $-4.25{\mu }_N$ to $-0.43{\mu }_N$ for spin-$3/2$ states, reflecting the sensitivity of magnetic moments to the internal wave function. A quark-level decomposition reveals that the charm quark dominates in most configurations, while strange quarks play a decisive role only in currents favoring axial-vector diquark structures. The electric quadrupole moments lie between $-2.01\times 10^{-2}$ fm${}^2$ and $5.55\times 10^{-2}$ fm${}^2$, and the magnetic octupole moments are typically an order of magnitude smaller. The current dependence of the magnetic dipole moments provides a quantitative measure of the theoretical uncertainty arising from the choice of interpolating operator. The pronounced isospin sensitivity of $J_{\mu }^3(x)$ across all three multipole moments arises from its axial-vector diquark structure, which isolates the light quark from spin averaging and allows the charge asymmetry $e_u/e_d=-2$ to propagate directly into the electromagnetic moments; the ratio ${\mu }_u/{\mu }_d=-2.00$ confirms this mechanism exactly. Our predictions offer benchmarks for future experiments and lattice QCD calculations, and may help discriminate among competing structural models.

22 pages, 2 figures, 4 tables. Version accepted for publication in Chinese Journal of Physics

References in corpus (46)

• 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
• Electromagnetic excitation of the Delta(1232)-resonance
• The New Pentaquarks in the Diquark Model
• The Pentaquark Candidates in the Dynamical Diquark Picture
• 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
• Photon Distribution Amplitudes in QCD
• Pentaquark states in a diquark-triquark model
• Tetra- and penta-quark structures in the constituent quark model
• Four-quark exotic mesons
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Heavy-light diquark masses from QCD sum rules and constituent diquark models of tetraquarks
• Determination of the magnetic susceptibility of the quark condensate using radiative heavy meson decays
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Magnetic moments of the hidden-charm pentaquark states
• Electromagnetic structure of charmed baryons in Lattice QCD
• Analysis of the scalar and axial-vector heavy diquark states with QCD sum rules
• Electric quadrupole and magnetic octupole moments of the Delta
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
• Magnetic moments of the hidden-charm strange pentaquark states
• Hidden charm pentaquarks: mass spectrum, magnetic moments, and photocouplings
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Hidden charm pentaquarks with color-octet substructure in QCD Sum Rules
• Electromagnetic properties of doubly charmed baryons in Lattice QCD
• Electromagnetic multipole moments of the $P_c^{+}(4380)$ pentaquark in light-cone QCD
• Analysis of the hidden-charm pentaquark states based on magnetic moment and transition magnetic moment
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Doubly charmed pentaquark states in QCD sum rules
• Magnetic Moments of Hidden-Charm Pentaquarks in the Diquark-Diquark-Antiquark Scheme
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Triple-strangeness hidden-charm pentaquarks
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi$ mass spectrum via the QCD sum rules