$\Lambda NN$ and $\Sigma NN$ systems at threshold

Abstract

We calculate the hypertriton binding energy and the $\Lambda d$ and $\Sigma d$ scattering lengths using baryon-baryon interactions obtained from a chiral constituent quark model. We study consistently the $\Lambda NN$ and $\Sigma NN$ systems analyzing the effect of the $\Sigma \leftrightarrow \Lambda$ conversion. Our interactions correctly predict the hypertriton binding energy. The $(I,J)=(0,3/2)$ $\Lambda NN$ channel is also attractive and it might have a bound state. From the condition of nonexistence of a (0,3/2) $\Lambda NN$ bound state, an upper limit for the spin-triplet $\Lambda N$ scattering length is obtained. We also present results for the elastic and inelastic $\Sigma N$ and $\Lambda N$ cross sections. The consistent description of the $\Sigma N$ scattering cross sections imposes a lower limit for the corresponding spin-triplet scattering lengths. In the $\Sigma NN$ system the only attractive channels are $(I,J)=(1,1/2)$ and $(0,1/2)$, the $(1,1/2)$ state being the most attractive one.

17 pages, 6 tables, 13 figures. Accepted for publication in Phys. Rev. C

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• A critical analysis on deeply bound kaonic states in nuclei
• A search for deeply bound kaonic nuclear states
• Resonances in $\Lambda d$ Scattering and the $\Sigma$-hypertriton
• Faddeev Calculation of the Hypertriton using the SU_6 Quark-Model Nucleon-Nucleon and Hyperon-Nucleon Interactions
• $S$-matrix poles near the $\Lambda N$ and $\Sigma N$ Thresholds in the Coupled \$ΛN-ΣN$ System
• Strange tribaryons

Cited by in corpus (41)

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• Investigating the excited ${\Omega }_c^0$ states through ${\Xi }_{c}K$ and ${\Xi }_c^{{}^{\prime }}K$ decay channels
• Is the exotic $X(5568)$ a bound state?
• Further study of the $N\Omega$ dibaryon within constituent quark models
• $\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves
• Implications of an increased $\Lambda$-separation energy of the hypertriton
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• J=3/2 charmed hypertriton
• The Continuum Spectrum of Hypernuclear Trios
• Examination of the H dibaryon within a chiral constituent quark model
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• Doubly charmed multibaryon systems
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
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• Light $\Xi$ hypernuclei
• Charmed baryon$-$nucleon interaction
• Strangeness -2 two-baryon systems
• Reanalysis of the most strange dibaryon within constituent quark models
• Hidden strange pentaquark in constituent quark models
• $(I,J^P)=(1,1/2^{+})$ $\Sigma NN$ quasibound state
• Consequences of increased hypertriton binding for $s$-shell $\Lambda$-hypernuclear systems
• The ${}_{\Lambda \Lambda }^{4}n$ system
• The $\rho -\omega$ splitting in constituent quark models
• Coupled channels calculation of a pion-Lambda-nucleon quasibound state
• Faddeev calculations of low-energy $\Lambda$-deuteron scattering and momentum correlation function
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• Hidden and open heavy-flavor hadronic states
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• The Observed Correlations for the Strange Multibaryon States in Systems with $\Lambda$-Hyperon from pa Collision at Momentum of 10 Gev/$c$
• Study on $\Lambda nn$ Bound State and Resonance
• Neutral baryonic systems with strangeness
• $K^{-}d\to \pi \Lambda N$ reaction for studying charge symmetry breaking in the $\Lambda N$ interaction
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