We present a microscopic study of electromagnetic properties of the low-lying states of single-Λ hypernucleus ${}_{\mathrm{\Lambda }}^9$Be using a quantum-number projected generator coordinate method (HyperGCM) based on covariant density functional theory. All the configurations are restricted to have axial symmetry, with the Λ hyperon in the lowest-energy state. The results are compared to the predictions of a simple particle-rotor model (PRM), for which analytic expressions are available. We show that the electromagnetic properties of ${}_{\mathrm{\Lambda }}^9$Be from the HyperGCM calculation are close to those by the PRM. In particular, it is found that the magnetic moments and M1 transition strengths are less sensitive to the coupling strengths of the ΛN interaction than the electric quadrupole transition strengths. The latter may provide additional constraints on the ΛN interaction.

我们对单Λ超核低位态的电磁特性进行了微观研究${}_{\mathrm{\Lambda }}^9$使用基于协变密度泛函理论的量子数投影生成器坐标法 (HyperGCM) 。所有构型都被限制为轴对称，Λ超子处于最低能量状态。将结果与简单粒子转子模型 (PRM) 的预测进行比较，后者有可用的解析表达式。我们证明了电磁特性${}_{\mathrm{\Lambda }}^9$HyperGCM 的计算与 PRM 的计算接近。特别地，发现磁矩和M 1 跃迁强度对Λ N相互作用的耦合强度比电四极跃迁强度不太敏感。后者可能对 Λ N相互作用提供额外的约束。