$\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves

Abstract

Using the two-body interactions obtained from a chiral constituent quark model we study all $\Lambda NN$ and $\Sigma NN$ states with I=0,1,2 and J=1/2,3/2 at threshold, taking into account all three-body configurations with S and D wave components. We constrain further the limits for the $\Lambda N$ spin-triplet scattering length a_{1/2,1}. Using the hypertriton binding energy we find a narrow interval for the possible values of the $\Lambda N$ spin-singlet scattering length a_{1/2,0}. We found that the $\Sigma NN$ system has a quasibound state in the (I,J) = (1,1/2) channel very near threshold with a width of about 2.1 MeV.

19 pages, 4 tables, 6 figures. Accepted for publication in Phys. Rev. C

References in corpus (6)

• Constituent quark model study of the meson spectra
• Quark-model study of few-baryon systems
• Constituent quark model study of light- and strange-baryon spectra
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• Faddeev Calculation of the Hypertriton using the SU_6 Quark-Model Nucleon-Nucleon and Hyperon-Nucleon Interactions
• Strange tribaryons

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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/$c$
• Neutral baryonic systems with strangeness
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