Can the ${\Sigma }^{-}nn$ System be Bound?

Abstract

Motivated by the $\Sigma$-hypernuclear states reported in ($K^{-},{\pi }^{\pm }$) experiments, we have explored the possibility that there exists a particle-stable ${\Sigma }^{-}nn$ bound state. For the Jülich à hyperon-nucleon, realistic-force model, our calculations yield little reason to expect a positive-parity bound state in either the $J=\frac{1}{2}$ or the $J=\frac{3}{2}$ channels.

6 pages in LaTeX, 1 Figure (appended in uuencoded tar-compressed PostScript format), College of William and Mary preprint WM-94-103, LANL preprint LA-UR-94-0230

References in corpus (1)

• Resonances in $\Lambda d$ Scattering and the $\Sigma$-hypertriton