  New experimental data on medium to heavy single Lambda hypernuclei revealed a
much larger spin-orbit splitting than observed in older measurements of light
hypernuclei. Taking into account particle threshold effects and the
density-dependence of in-medium coupling constants the apparent suppression of
spin-orbit strength in light hypernuclei as well as the spin-orbit structure
observed in medium to heavy nuclei are explained in a unified manner within the
density dependent relativistic hadron field theory. It is concluded that the
most valuable information on the Lambda spin-orbit dynamics in finite nuclei
has to be extracted from medium to heavy mass nuclei.
