Analysis of the isospin eigenstate $\bar D Σ_c$, $\bar D^{*} Σ_c$, and $\bar D Σ_c^{*}$ pentaquarks by their electromagnetic properties
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2024
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| author | Özdem, U. |
| author_facet | Özdem, U. |
| contents | 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 $\mathrm{P_{c}(4312)}$, $\mathrm{P_{c}(4380)}$, and $\mathrm{P_{c}(4440)}$ pentaquarks by considering them as the molecular picture with spin-parity $\mathrm{J^P= \frac{1}{2}^-}$, $\mathrm{J^P= \frac{3}{2}^-}$, and $\mathrm{J^P= \frac{3}{2}^-}$, 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 $\bar D^{*} Σ_c$ and $\bar D Σ_c^{*}$ pentaquarks, indicating a non-spherical charge distribution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_12678 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of the isospin eigenstate $\bar D Σ_c$, $\bar D^{*} Σ_c$, and $\bar D Σ_c^{*}$ pentaquarks by their electromagnetic properties Özdem, U. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice 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 $\mathrm{P_{c}(4312)}$, $\mathrm{P_{c}(4380)}$, and $\mathrm{P_{c}(4440)}$ pentaquarks by considering them as the molecular picture with spin-parity $\mathrm{J^P= \frac{1}{2}^-}$, $\mathrm{J^P= \frac{3}{2}^-}$, and $\mathrm{J^P= \frac{3}{2}^-}$, 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 $\bar D^{*} Σ_c$ and $\bar D Σ_c^{*}$ pentaquarks, indicating a non-spherical charge distribution. |
| title | Analysis of the isospin eigenstate $\bar D Σ_c$, $\bar D^{*} Σ_c$, and $\bar D Σ_c^{*}$ pentaquarks by their electromagnetic properties |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.12678 |