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Elucidating the nature of hidden-charm pentaquark states with spin-$\frac{3}{2}$ through their electromagnetic form factors
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abstract
We perform a systematic study of the electromagnetic properties of exotic states to shed light on their nature, which is still controversial and not fully understood. The magnetic dipole and higher multipole moments of a hadronic state are as fundamental a dynamical quantity as its mass, and they contain valuable information about the deep structure underlying it. In the present work, we have explored the magnetic dipole and higher multipole moments of the hidden-charm pentaquarks with quantum number $J^P = 3/2^-$ using the QCD light-cone sum rule method and different interpolating currents. The obtained results show that different interpolating currents employed to probe pentaquarks with the same quark content produce varying results for their magnetic dipole and higher multipole moments at all. This can be interpreted to mean that there is more than one hidden-charm pentaquark with identical quark content but with different magnetic dipole and higher multipole moments. The nature, internal structure, and quark-gluon configurations of these states can be better understood by studying their electromagnetic properties.
Forward citations
Cited by 7 Pith papers
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Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states
LCSR calculations of magnetic, quadrupole and octupole moments for S=-2 hidden-charm pentaquarks yield large current-dependent ranges (-4.25 to 5.74 μ_N) dominated by the charm quark in most diquark configurations.
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Magnetic dipole moments as probes of doubly-bottom molecular pentaquarks
For the molecular pentaquark configurations BΣ_b, BΣ_b*, and B*Σ_b, the predicted magnetic dipole moments are 2.40, −2.84, and 5.17 nuclear magnetons respectively, with a sign and magnitude pattern sensitive to spin s...
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Electromagnetic form factors: A window into the $D\Lambda_c$, $D^*\Lambda_c$, and $D\Lambda_c^*$ molecular structure
Using light-cone QCD sum rules, the paper predicts negative magnetic dipole moments of roughly -1.27, -2.78, and -3.80 nuclear magnetons for the DΛc, D*Λc, and DΛc* molecular pentaquark candidates, plus small quadrupo...
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Probing the electromagnetic structure of the $P_c(4337)^+$ pentaquark: Insights from a diquark-diquark-antiquark picture for $J^P = \frac{1}{2}^-$ and $\frac{3}{2}^-$ states
Under the diquark-diquark-antiquark model, the magnetic moment of Pc(4337)+ is predicted to be 1.76 ± 0.44 μN for J^P = 1/2^- and -1.38 ± 0.35 μN for J^P = 3/2^-, with nonzero quadrupole and octupole moments in the 3/...
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Investigating the underlying structure of vector hidden-charm tetraquark states via their electromagnetic characteristics
QCD light-cone sum rules give magnetic moments for vector hidden-charm tetraquarks that depend strongly on the chosen diquark-antidiquark current.
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Bhabha-like scattering in the Rarita-Schwinger model at finite temperature
For a massive Rarita-Schwinger spin-3/2 fermion coupled to photons, the tree-level Bhabha-like differential cross-section is derived at finite temperature, with a claimed T squared high-temperature growth.
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Magnetic Moments of Hidden-Charm Pentaquarks in the Diquark-Diquark-Antiquark Scheme
Using constituent quark masses and S-wave spin-flavor wave functions, the paper predicts magnetic moments for Pc(4457) and related hidden-charm pentaquarks in the diquark-diquark-antiquark scheme.
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