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Analysis of the isospin eigenstate $\overline{D}{\Sigma }_{c}$ , ${\overline{D}}^{\ast }{\Sigma }_{c}$ , and $\overline{D}\Sigma _{c}^{\ast }$ pentaquarks by their electromagnetic properties

Özdem, Ulaş


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    <subfield code="a">&lt;p&gt;To shed light on the nature of the controversial and not yet fully understood exotic states, we are carrying out a systematic study of their electromagnetic properties. The magnetic moment of a hadron state is as fundamental a dynamical quantity as its mass and contains valuable information on the deep underlying structure. In this study, we use the QCD light-cone sum rule to extract the magnetic moments of the     ${P}_{c}\left(4312\right)$  ,     ${P}_{c}\left(4380\right)$  , and     ${P}_{c}\left(4440\right)$   pentaquarks by considering them as the molecular picture with spin-parity     ${J}^{P}={\frac{1}{2}}^{-}$  ,     ${J}^{P}={\frac{3}{2}}^{-}$  , and     ${J}^{P}={\frac{3}{2}}^{-}$  , respectively. We define the isospin of the interpolating currents of these states, which is the key to solving the puzzle of the hidden-charm pentaquark states, to make these analyses more precise and reliable. We have compared our results with other theoretical predictions that could be a useful complementary tool for the interpretation of the hidden-charm pentaquark sector, and we observe that they are not in mutual agreement with each other. We have also calculated higher multipole moments for spin-3/2     ${\overline{D}}^{\ast }{\Sigma }_{c}$   and     $\overline{D}\Sigma _{c}^{\ast }$   pentaquarks, indicating a non-spherical charge distribution.&lt;/p&gt;</subfield>
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    <subfield code="a">Analysis of the isospin eigenstate     $\overline{D}{\Sigma }_{c}$  ,     ${\overline{D}}^{\ast }{\Sigma }_{c}$  , and     $\overline{D}\Sigma _{c}^{\ast }$   pentaquarks by their electromagnetic properties</subfield>
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