$ΛNN$ and $ΣNN$ systems at threshold

dc.creatorGarcilazo, H.
dc.creatorFernandez-Carames, T.
dc.creatorValcarce, A.
dc.date2007-01-31
dc.date2007-03-12
dc.date.accessioned2026-07-07T11:22:33Z
dc.date.available2026-07-07T11:22:33Z
dc.descriptionWe 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.
dc.description17 pages, 6 tables, 13 figures. Accepted for publication in Phys. Rev. C
dc.identifierhttps://arxiv.org/abs/hep-ph/0701275
dc.identifierhttp://arxiv.org/abs/hep-ph/0701275
dc.identifierPhys.Rev.C75:034002,2007
dc.identifierdoi:10.1103/PhysRevC.75.034002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194609
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.title$ΛNN$ and $ΣNN$ systems at threshold
dc.typetext

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