arXiv · hep-ph/0701275
$ΛNN$ and $ΣNN$ systems at threshold
Abstract
We calculate the hypertriton binding energy and the $Λd$ and $Σd$ scattering lengths using baryon-baryon interactions obtained from a chiral constituent quark model. We study consistently the $ΛNN$ and $ΣNN$ systems analyzing the effect of the $Σ\leftrightarrow Λ$ conversion. Our interactions correctly predict the hypertriton binding energy. The $(I,J)=(0,3/2)$ $ΛNN$ channel is also attractive and it might have a bound state. From the condition of nonexistence of a (0,3/2) $ΛNN$ bound state, an upper limit for the spin-triplet $ΛN$ scattering length is obtained. We also present results for the elastic and inelastic $ΣN$ and $ΛN$ cross sections. The consistent description of the $ΣN$ scattering cross sections imposes a lower limit for the corresponding spin-triplet scattering lengths. In the $ΣNN$ 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.
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H. Garcilazo, T. Fernandez-Carames, A. Valcarce. 2007-03-12. $ΛNN$ and $ΣNN$ systems at threshold. https://doi.org/10.1103/physrevc.75.034002
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