The possibility of observing heavy Ξ-hypernuclei by (${\mathit{K}}^{\mathrm{-}}$,${\mathit{K}}^{+}$) reactions is investigated. Several narrow peaks are clearly seen in the ${\mathit{K}}^{+}$ spectrum of ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$(${\mathit{K}}^{\mathrm{-}}$,${\mathit{K}}^{+}$${)}_{\mathrm{\Xi }}^{\mathrm{-}208}$Hg reaction calculated by the Green’s function method. They correspond to ${\mathrm{\Xi }}^{\mathrm{-}}$ bound states with spin-stretched high angular momentum. The excitation of the ${\mathrm{\Xi }}^{\mathrm{-}}$ bound states amounts to about 0.4 μb/sr MeV for the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ target in the case of 2 MeV detector resolution, which is considerably larger than that for the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ target. It is discussed whether or not the mass-number dependence of nucleus-Ξ potential depths is observed between A=12 and 208.

• Received 6 September 1994

DOI:https://doi.org/10.1103/PhysRevC.51.2656