Extended-soft-core Baryon-Baryon Model ESC08 I. Nucleon-Nucleon Scattering

Abstract

The Nijmegen extended-sft-core ESC08c model for the baryon-baryon (BB) interactions of the SU(3) flavor-octet of baryons ($N,\Lambda ,\Sigma$, and $\Xi$) is presented. In this first of a series of papers, the NN results are reported in detail. In the spirit of the Yukawa-approach to the nuclear force problem, the interactions are studied from the meson-exchange picture viewpoint, using generalized soft-core Yukawa-functions. These interactions are supplemented with (i) multiple-gluon-exchange, and (ii) structural effects due to the quark-core of the baryons. The extended-soft-core (ESC) meson-exchange interactions consist of local- and non-local-potentials due to ((i) One-boson-exchanges (OBE, which are the members of nonets of pseudoscalar , vector, scalar, and axial-vector mesons, (ii) diffractive (i.e. multiple-gluon) exchanges, (iii) two pseudoscalar exchange (PS-PS), and (iv) meson-pair-exchange (MPE). The OBE- and MPE-vertices are regulated by gaussian form factors producing potentials with a soft behavior near the origin. The assignment of the cut-off masses for the BBM-vertices is dependent on the SU(3)-classification of the exchanged mesons for OBE, and a similar scheme for MPE. The simultaneous fit of the ESC-models to the NN- and YN-scattering data achieved excellent results for the NN, YN, and favorable properties for the $\Lambda \Lambda$ and $\Xi N$ systems. In the case of ESC08c, the version of this paper, the results are: (i) For the selected 4313 pp and np scattering data ($0\le T_{lab}\le 350$ MeV), the model achieved ${\chi }^2/N_{data}=1.08$. (ii) The deuteron binding energy and all NN low energy parameters are fitted very nicely. (iii) The YN-data are described also very well with ${\chi }^{/}{N}_{data}=1.09$. (iv) The model predicts a bound $\Xi N{(}^3{S}_1,I=1)$ states with binding energy 1.56 MeV.

arXiv admin note: text overlap with arXiv:nucl-th/0603041

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