New insights into the nature of the $Λ(1380)$ and $Λ(1405)$ resonances away from the SU(3) limit
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929454627946496 |
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| author | Guo, Feng-Kun Kamiya, Yuki Mai, Maxim Meißner, Ulf-G. |
| author_facet | Guo, Feng-Kun Kamiya, Yuki Mai, Maxim Meißner, Ulf-G. |
| contents | Starting from the SU(3) limit, we consider the nature of the dynamically generated resonances $Λ(1380)$, $Λ(1405)$ and $Λ(1680)$ as the pion and kaon masses are tuned to their physical values. We show that the accidental symmetry of the two octets due to the leading order Weinberg-Tomozawa term is broken by the next-to-leading order terms. Most interestingly, we observe an interchange of the two trajectories of the $Λ(1380)$ and the $Λ(1405)$ away from the SU(3) limit at next-to-leading order. This remarkable phenomenon can be investigated using lattice QCD calculations that start from the SU(3) limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07658 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New insights into the nature of the $Λ(1380)$ and $Λ(1405)$ resonances away from the SU(3) limit Guo, Feng-Kun Kamiya, Yuki Mai, Maxim Meißner, Ulf-G. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory Starting from the SU(3) limit, we consider the nature of the dynamically generated resonances $Λ(1380)$, $Λ(1405)$ and $Λ(1680)$ as the pion and kaon masses are tuned to their physical values. We show that the accidental symmetry of the two octets due to the leading order Weinberg-Tomozawa term is broken by the next-to-leading order terms. Most interestingly, we observe an interchange of the two trajectories of the $Λ(1380)$ and the $Λ(1405)$ away from the SU(3) limit at next-to-leading order. This remarkable phenomenon can be investigated using lattice QCD calculations that start from the SU(3) limit. |
| title | New insights into the nature of the $Λ(1380)$ and $Λ(1405)$ resonances away from the SU(3) limit |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2308.07658 |