Magnetic moments of light hypernuclei with the pmnkY configuration (Y = Λ, Σ and Ξ)

With the use of the effective moment method, we calculate magnetic moments of light hypernuclei, assuming shell model wave functions with good isospin. The following systems are investigated; [I] nY and pY systems, [II] pnY systems, [III] pn2Y and p2nY systems and [IV] p2n2Y systems, where p and n show a proton and a neutron, and Y denotes Λ-, Σ- and Ξ hyperon, respectively. The results for p-shell Λ-hypernuclei are compared with the theoretical values obtained by T. Motoba et al., who used the three-cluster [α-x-Λ] model (x = n, P, d, t, 3He or α). Dynamical effects on hypernuclear magnetic moments are also discussed using the configuration mixing theory. We briefly comment on magnetic moments of sd- and pf-shell hypernuclei. (author)