Faddeev-Yakubovsky calculations for light Lambda-Lambda hypernuclei

Abstract

New Faddeev-Yakubovsky calculations are reported for Lambda-Lambda-6He and Lambda-Lambda-10Be in terms of clusters of alpha's and Lambda's, using Lambda-Lambda s-wave potentials motivated by several of the Nijmegen model interactions. The self consistency of the Lambda-Lambda hypernuclear world data for these species is discussed. The newly reported Lambda-Lambda-6He event is found to be compatible with Lambda-Lambda interaction strengths provided by the Nijmegen soft-core one-boson-exchange model NSC97. Faddeev calculations for Lambda-Lambda-5H and Lambda-Lambda-5He suggest that these Lambda-Lambda hypernuclei are stable against emitting Lambda's for any (essentially attractive) Lambda-Lambda interaction, whereas calcualtions for Lambda-Lambda-4H do not allow a clear-cut conclusion whether or not it is particle stable.

21 pages including 9 tables, 4 postscript figures; added discussion and references; accepted for publication in Nucl. Phys. A