2007/01/31 by H. Garcilazo, T. Fernandez-Carames, T. Fernández-Caramés +1 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.75.034002
published as Phys.Rev.C75:034002,2007 · 17 pages, 6 tables, 13 figures. Accepted for publication in Phys. Rev. C
arxiv created 2007/03/12 · openalex publication_date 2007/03/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We calculate the hypertriton binding energy and the \ensuremathΛd and \ensuremathΣd scattering lengths using baryon-baryon interactions obtained from a chiral constituent quark model. We study consistently the \ensuremathΛNN and \ensuremathΣNN systems by analyzing the effect of the \ensuremathΣ\ensuremath↔\ensuremathΛ conversion. Our interactions correctly predict the hypertriton binding energy. The (I,J)=(0,3/2) \ensuremathΛNN channel is also attractive and it might have a bound state. From the condition of nonexistence of a (0,3/2) \ensuremathΛNN bound state, an upper limit for the spin-triplet \ensuremathΛN scattering length is obtained. We also present results for the elastic and inelastic \ensuremathΣN and \ensuremathΛN cross sections. The consistent description of the \ensuremathΣN scattering cross sections imposes a lower limit for the corresponding spin-triplet scattering lengths. In the \ensuremathΣNN 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.