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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.01979 |
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| _version_ | 1866911189077852160 |
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| author | Su, Niu Chen, Hua-Xing Gubler, Philipp Hosaka, Atsushi |
| author_facet | Su, Niu Chen, Hua-Xing Gubler, Philipp Hosaka, Atsushi |
| contents | Using the QCD sum rule method, we investigate the mass splitting for the spin-orbit partner states of the $Ω(2012)$ baryon assuming that it is a $P$-wave excitation with $J^P=3/2^-$. This study is an extension of the previous work [1] in which the masses of these states were estimated with uncertainties too large to extract the reliable mass splitting. In the present study, by directly formulating a sum rule for the mass splitting, we obtain an improved prediction, $δM = M_{3/2^-} - M_{1/2^-} = -18.0^{+ 33.6}_{-17.1}$ MeV. This result provides a more quantitative insight into the spectrum of $P$-wave $Ω$ baryons and serves as a useful reference for future experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01979 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved prediction of the mass splitting for $P$-wave $Ω$ baryons Su, Niu Chen, Hua-Xing Gubler, Philipp Hosaka, Atsushi High Energy Physics - Phenomenology Using the QCD sum rule method, we investigate the mass splitting for the spin-orbit partner states of the $Ω(2012)$ baryon assuming that it is a $P$-wave excitation with $J^P=3/2^-$. This study is an extension of the previous work [1] in which the masses of these states were estimated with uncertainties too large to extract the reliable mass splitting. In the present study, by directly formulating a sum rule for the mass splitting, we obtain an improved prediction, $δM = M_{3/2^-} - M_{1/2^-} = -18.0^{+ 33.6}_{-17.1}$ MeV. This result provides a more quantitative insight into the spectrum of $P$-wave $Ω$ baryons and serves as a useful reference for future experiments. |
| title | Improved prediction of the mass splitting for $P$-wave $Ω$ baryons |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.01979 |