New insights into the nature of the $\Lambda(1380)$ and $\Lambda(1405)$ resonances away from the SU(3) limit

Feng-Kun Guo; Maxim Mai; Ulf-G. Mei{\ss}ner; Yuki Kamiya

New insights into the nature of the $\Lambda(1380)$ and $\Lambda(1405)$ resonances away from the SU(3) limit

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arxiv 2308.07658 v2 pith:WGAV76CW submitted 2023-08-15 hep-ph hep-exhep-latnucl-th

Feng-Kun Guo , Yuki Kamiya , Maxim Mai , Ulf-G. Mei{ss}ner This is my paper · ORCID

classification hep-phhep-exhep-latnucl-th

keywords lambdalimitorderawaynaturenext-to-leadingresonancesaccidental

verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Starting from the SU(3) limit, we consider the nature of the dynamically generated resonances $\Lambda(1380)$, $\Lambda(1405)$ and $\Lambda(1680)$ 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 $\Lambda(1380)$ and the $\Lambda(1405)$ 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.

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Cited by 3 Pith papers

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