The $ÏÏ$ S-Wave in the 1 to 2 GeV Region from a $ÏÏ$, $\bar{K}K$ and $ÏÏ$($ÏÏ$) Coupled Channel Model

W. M. Kloet; B. Loiseau

doi:10.1007/BF01295901

paper

The $I ¨ I ¨ $ S-Wave in the 1 to 2 GeV Region from a $I ¨ I ¨ $ , $K ˉ K$ and $I ¨ I ¨ $ ( $I ¨ I ¨ $ ) Coupled Channel Model

arXiv:nucl-th/9408025 · doi:10.1007/BF01295901

Abstract

A simple $I ¨ I ¨ $ , $K ˉ K$ , and $I ¨ I ¨ $ ( $I ¨ I ¨ $ ) fully coupled channel model is proposed to predict the isoscalar S-wave phase shifts and inelasticities for $I ¨ I ¨ $ scattering in the 1.0 to 2.0 GeV region. The S-matrix is required to exhibit poles corresponding to the established isoscalar J $^{I ¨} $ = 0 $^{+}$ resonances f $_{0}$ (975), f $_{0}$ (1400), and f $_{0}$ (1710). A dominant feature of the experimental $I ¨ I ¨ $ inelasticity is the clear opening of the $K ˉ K$ channel near 1 GeV, and the opening of another channel in the 1.4 - 1.5 GeV region. The success of our model in predicting this observed dramatic energy dependence indicates that the effect of multi-pion channels is adequately described by the $I ¨ I ¨ $ coupling to the $K ˉ K$ channel, the $I ¨ I ¨ $ (4 $I ¨ $ ) and $I ¨ I ¨ $ (6 $I ¨ $ ) channels.

11 pages (Revtex 3.0), 4 figs. avail. upon request, RU9469

The I¨I¨ S-Wave in the 1 to 2 GeV Region from a I¨I¨, KˉK and I¨I¨(I¨I¨) Coupled Channel Model

Abstract

The $I ¨ I ¨ $ S-Wave in the 1 to 2 GeV Region from a $I ¨ I ¨ $ , $K ˉ K$ and $I ¨ I ¨ $ ( $I ¨ I ¨ $ ) Coupled Channel Model