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Lowest-lying ${\frac{1}{2}}^-$ and ${\frac{3}{2}}^-$ $\Lambda_{Q}$ resonances: from the strange to the bottom sectors

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arxiv 2402.12726 v1 pith:DN6EOULD submitted 2024-02-20 hep-ph

classification hep-ph
keywords lambdafracbottomheavyheavy-quarkquark-modelresonancessectors
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a detailed study of the lowest-lying ${\frac{1}{2}}^-$ and ${\frac{3}{2}}^-$ $\Lambda_{Q}$ resonances both in the heavy quark (bottom and charm) and the strange sectors. We have paid special attention to the interplay between the constituent quark-model and chiral baryon-meson degrees of freedom, which are coupled using a unitarized scheme consistent with leading-order heavy quark symmetries. We show that the $\Lambda_b(5912)$ [$J^P=1/2^-$], $\Lambda_b(5920)$ [$J^P=3/2^-$] and the $\Lambda_c(2625)$ [$J^P=3/2^-$], and the $\Lambda(1520)$ [$J^P=3/2^-$] admitting larger breaking corrections, are heavy-quark spin-flavor siblings. They can be seen as dressed quark-model states with $\Sigma_{Q}^{(*)}\pi$ molecular components of the order of 30\%. The ${J^P=\frac{1}{2}}^-$ $\Lambda_c(2595)$ has, however, a higher molecular probability of at least $50$\%, and even values greater than 70\% can be easily accommodated. This is because it is located almost on top of the threshold of the $\Sigma_c\pi$ pair, which largely influences its properties. Although the light degrees of freedom in this resonance would be coupled to spin-parity $1^-$ as in the $\Lambda_b(5912)$, $\Lambda_b(5920)$ and $\Lambda_c(2625)$, the $\Lambda_c(2595)$ should not be considered as a heavy-quark spin-flavor partner of the former ones. We also show that the $\Lambda(1405)$ chiral two-pole pattern does not have analogs in the $\frac{1}{2}^-$ charmed and bottomed sectors, because the $ND^{(*)}$ and $N\overline{B}{}^{(*)} $ channels do not play for heavy quarks the decisive role that the $N \overline{K}$ does in the strange sector, and the notable influence of the bare quark-model states for the charm and bottom resonances. Finally, we predict the existence of two $\Lambda_b(6070)$ and two $\Lambda_c(2765)$ heavy-quark spin and flavor sibling odd parity states.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Signatures of the $\Omega(2012)^{-}$ state in $\Xi^*\bar K$ Correlation Functions

    hep-ph 2026-03 accept novelty 6.5 of 10

    Ω(2012) is dynamically generated as a Ξ*K–Ωη molecule; its pole produces pronounced near-threshold structures in the Ξ*0K− correlation function that can be measured at the LHC.

  2. Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The authors predict three Lambda* and two Sigma* resonances from vector-baryon interactions and provide femtoscopy correlation functions for six channels in the S=-1 sector.

  3. Testing the nature of the $\Sigma^*(1430)$

    hep-ph 2025-05 conditional novelty 6.0 of 10

    A unitarized coupled-channel model using SU(3) couplings finds that a largely non-molecular Sigma*(1430) is either too narrow to match Belle data or becomes heavily dressed by meson-baryon components.

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