ΛΛ hypernuclei and H dibaryon: a theoretical search

The data on strangeness S = -2 hypernuclear system is very less, and no data exist for systems with higher strangeness content. The study of double -Λ hypernuclei could provide valuable information on ΛΛ interaction. Experimentally, double hypernuclei can be produced by separated K-meson beam accelerator at Brookhaven National Laboratory (BNL), Japanese high energy accelerator research organization (KEK) and European Center for High Energy Physics (CERN). A high statistics measurement of double hypernuclear production has been made using high intensity AGS D6 K- beam line. The double hypernuclei can be produced via the double strangeness exchange reaction (K-, K+ ) by both direct production or by Ξ- capture at rest by an emulsion atom. In later reaction meson beam is used to tag the production of Ξ- hyperon, which is then slowed down in emulsion and captured at rest by an emulsion atom. In the following sections we discuss the theoretical frontiers of double-Λ hypernuclei