Compositeness of the strange, charm and beauty odd parity $\Lambda$ states

Abstract

We study the dependence on the quark mass of the compositeness of the lowest-lying odd parity hyperon states. Thus, we pay attention to $\Lambda -$like states in the strange, charm and beauty, sectors which are dynamically generated using a unitarized meson-baryon model. In the strange sector we use an SU(6) extension of the Weinberg-Tomozawa meson-baryon interaction, and we further implement the heavy-quark spin symmetry to construct the meson-baryon interaction when charmed or beauty hadrons are involved. In the three examined flavor sectors, we obtain two $J^P=1/2^{-}$ and one $J^P=3/2^{-}$ $\Lambda$ states. We find that the $\Lambda$ states which are bound states (the three ${\Lambda }_b$) or narrow resonances (one $\Lambda (1405)$ and one ${\Lambda }_c(2595)$) are well described as molecular states composed of $s$-wave meson-baryon pairs. The ${\frac{1}{2}}^{-}$ wide $\Lambda (1405)$ and ${\Lambda }_c(2595)$ as well as the ${\frac{3}{2}}^{-}$ $\Lambda (1520)$ and ${\Lambda }_c(2625)$ states display smaller compositeness and so they would require new mechanisms, such as $d$-wave interactions.

14 pages, 2 figures, 5 tables

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• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• Elementarity of composite systems
• The composite nature of the $\Lambda (1520)$ resonance
• SU(6)$\supset$SU(3)xSU(2) and SU(8)$\supset$SU(4)xSU(2) Clebsch-Gordan coefficients

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• Construction of a local barK N-pi Sigma-pi Lambda potential and composition of the Lambda(1405)
• On the nature of the lowest-lying odd parity charmed baryon ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$ resonances
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• Compositeness of $T_{cc}$ and $X(3872)$ by considering decay and coupled-channels effects
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• Extraction of $ND$ scattering lengths from the ${\Lambda }_b\to {\pi }^{-}p{D}^0$ decay and properties of the ${\Sigma }_c(2800{)}^{+}$
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• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• The effects of charmonium on the properties of the $1^{++}$ hidden charm poles in effective field theory
• ${\Omega }_c$ excited states: a molecular approach with heavy-quark spin symmetry
• Compositeness of Hadrons and Near-Threshold Dynamics
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• Heavy Hadrons in Dense Matter