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ΛNN and ΣNN systems at threshold

AuthorsGarcilazo, H.; Fernández Caramés, Teresa; Valcarce, A.
KeywordsNuclear binding energy
Quark models
Chiral symmetries
Hyperon-deuteron scattering
Nuclear forces
Hyperon-nucleon scattering
Issue Date12-Mar-2007
PublisherAmerican Physical Society
CitationPhysical Review C 75(3): 034002 (2007)
AbstractWe 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 by analyzing the effect of the Σ <-> 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.
Description10 pages, 6 figures.-- PACS nrs.: 13.75.Ev; 12.39.Jh; 21.45.+v.-- ISI Article Identifier: 000245332200008.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-ph/0701275
See also: "ΛNN and ΣNN systems at threshold. II. The effect of D waves", http://digital.csic.es/handle/10261/9101
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevC.75.034002
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