  Recent experimental evidence presented by the FINUDA Collaboration for a
particle-stable Lambda-6H has stirred renewed interest in charting domains of
particle-stable neutron-rich Lambda hypernuclei, particularly for unbound
nuclear cores. We have studied within a shell-model approach several
neutron-rich Lambda hypernuclei in the nuclear p shell that could be formed in
(pi-,K+) or in (K-,pi+) reactions on stable nuclear targets. Hypernuclear
shell-model input is taken from a theoretically inspired successful fit of
gamma-ray transitions in p-shell Lambda hypernuclei which includes also
Lambda-N <-> Sigma-N coupling (Lambda<->Sigma coupling). The particle stability
of Lambda-6H is discussed and predictions are made for binding energies of
Lambda-9He, Lambda-10Li, Lambda-12Be, Lambda-14B. None of the large effects
conjectured by some authors to arise from Lambda<->Sigma coupling is borne out,
neither by these realistic p-shell calculations, nor by quantitative estimates
outlined for heavier hypernuclei with substantial neutron excess.

Nuclear Theory;Nuclear Experiment