2006/08/30 by Th. A. Rijken, Y. Yamamoto, Rijken, Th. A. +2 · 7 citations
Engineering · Physics and Astronomy · #FOS: Physical sciences #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0608074
28 pages, 11 figures, 30 tables
arxiv created 2006/08/30 · openalex publication_date 2006/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents the Extended-Soft-Core (ESC) potentials ESC04a-d for baryon-baryon channels with total strangeness S=-2. For these channels no experimental scattering data exist, and alsothe information from hypernuclei is very limited.The potential models for S=-2 are based on SU(3) extensions of potential models for the S=0,-1 sectors, which are fitted to experimental data. Flavor su(3)-symmetry is broken 'kinematically'by the masses of the baryons and the mesons.Moreover, in ESC04a,b aldo the coupling constants are broken, albeit in a well defined way using the 3P0 quark-antiquark pair creation model as a guidance. But the fit to the S=0 and S=-1 sectors provides the necessary constraints to fix all free parameters.Therefore, the potentials for the S=-2 sectors do not contain additional free parameters, which situation is similar to the soft-core one-boson-exchange NSC97-models. Various properties of the potentials are illustrated by giving results for scattering lengths, bound states, phase-parameters, and total cross sections. The features of Ξ-hypernuclei predicted by ESC04d are studied on the basis of the G-matrix approach.