Double-Λ, twin-Λ, and single-Λ hypernuclear productions for stopped Ξ^- particles in ¹²C

The production rates per Ξ via the ¹²C+Ξ^--atomic states are investigated for the _ΛΛ¹²Be+p, _ΛΛ¹²B+n, _ΛΛ¹¹Be+d, _ΛΛ¹⁰Be+t, _ΛΛ⁹Li+α, _ΛΛ⁶He+⁷Li, _ΛΛ⁵H+⁸Be, _Λ⁹Be+_Λ⁴H, _Λ⁸Li+_Λ⁵He, and _Λ¹²B+Λ channels (including their excited channels) within the frame of the doorway double-Λ hypernuclear picture (direct reaction picture). We found that in the stopped Ξ^- reaction (1) the excited double-Λ hypernuclear states for _ΛΛ¹²B, _ΛΛ¹²Be, and _ΛΛ¹¹Be are produced more strongly than other double-Λ hypernuclei, and (2) the production rates per Ξ depend considerably on the atomic orbital angular momentum of the Ξ^- particle absorbed into nuclei. The calculated production rates per Ξ are discussed in comparison with the KEK-E176 experimental data.