We investigate double |$\Lambda$| hyperfragment formation from the statistical decay of double |$\Lambda$| compound nuclei produced in the |$\Xi^-$| absorption at rest in the light nuclei |$^{12}\mathrm{C}$|⁠, |$^{14}\mathrm{N}$|⁠, and |$^{16}\mathrm{O}$|⁠. We examine the target and the |$\Lambda\Lambda$| bond energy dependence of the double |$\Lambda$| hyperfragment formation probabilities, especially of those double hypernuclei observed in experiments. For the |$^{12}\mathrm{C}$| (⁠|$^{14}\mathrm{N}$|⁠) target, the formation probabilities of |$^{\,\;\;6}_{\Lambda\Lambda}\mathrm{He}$| and |$^{\;10}_{\Lambda\Lambda}\mathrm{Be}$| (⁠|$^{\;13}_{\Lambda\Lambda}\mathrm{B}$|⁠) are found to be reasonably large as they are observed in the KEK-E373 (KEK-E176) experiment. By comparison, for the |$^{16}\mathrm{O}$| target, the formation probability of |$^{\;11}_{\Lambda\Lambda}\mathrm{Be}$| is calculated to be small with |$\Delta B_{\Lambda\Lambda}$| consistent with the Nagara event. We also evaluate the formation probability of |${}^{\,\;\;5}_{\Lambda\Lambda}\mathrm{H}$| from a |$\Xi^-$|–|${}^{6}\mathrm{He}$| bound state, |${}^{7}_{\Xi}\mathrm{H}$|⁠.

中文翻译：

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从统计Ξ双Λ超核的形成^-在轻核吸收在休息

我们调查双| $ \ Lambda $ | | \\ Lambda $ |的统计衰减产生超碎片形成 | $ \ Xi ^-$ |中产生的复合核 轻核中的静态吸收| $ ^ {12} \ mathrm {C} $ |⁠，| $ ^ {14} \ mathrm {N} $ |⁠和| $ ^ {16} \ mathrm {O} $ |⁠。我们检查目标和| $ \ Lambda \ Lambda $ | | $ \ Lambda $ |的键能量依赖性 超碎片形成概率，特别是在实验中观察到的那些双超核。对于| $ ^ {12} \ mathrm {C} $ | （⁠| $ ^ {14} \ mathrm {N} $ |⁠）目标，形成概率| $ ^ {\，\; \; 6} _ {\ Lambda \ Lambda} \ mathrm {He} $ | 和| $ ^ {\; 10} _ {\ Lambda \ Lambda} \ mathrm {Be} $ | （⁠| $ ^ {\; 13} _ {\ Lambda \ Lambda} \ mathrm {B} $ |⁠）被发现相当大，因为它们在KEK-E373（KEK-E176）实验中观察到。相比之下，对于| $ ^ {16} \ mathrm {O} $ | 目标，| $ ^ {\; 11} _ {\ Lambda \ Lambda} \ mathrm {Be} $ |的形成概率 计算得出|| $ \ Delta B _ {\ Lambda \ Lambda} $ |很小 与Nagara事件一致。我们还评估| $ {} ^ {\，\; \; 5} _ {\ Lambda \ Lambda} \ mathrm {H} $ |的形成概率。从| $ \ Xi ^-$ | – | $ {} ^ {6} \ mathrm {He} $ | 绑定状态| $ {} ^ {7} _ {\ Xi} \ mathrm {H} $ |⁠。