Constraints on $\Sigma$ Nucleus Dynamics from Dirac Phenomenology of ${\Sigma }^{-}$ Atoms

Abstract

Strong interaction level shifts and widths in ${\Sigma }^{-}$ atoms are analyzed by using a $\Sigma$ nucleus optical potential constructed within the relativistic mean field approach. The analysis leads to potentials with a repulsive real part in the nuclear interior. The data are sufficient to establish the size of the isovector meson--hyperon coupling. Implications to $\Sigma$ hypernuclei are discussed.

Comments: 18 pages, RevTex, 4 uuencoded figures, subm. Nucl.Phys.A