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We use the self-consistent mean-field theory to discuss the ground state anddecay properties of $\Lambda$ hypernuclei. We first discuss the deformation of$\Lambda$ hypernuclei using the relativistic mean-field (RMF) approach. We showthat, although most of hypernuclei have a similar deformation parameter to thecore nucleus, the shape of $^{28}$Si is drastically altered, from oblatelydeformed to spherical, if a $\Lambda$ particle is added to this nucleus. Wethen discuss the pionic weak decay of neutron-rich $\Lambda$ hypernuclei usingthe Skyrme Hartree-Fock + BCS method. We show that, for a given isotope chain,the decay rate increases as a function of mass number, due to the strongneutron-proton interaction.

Deformation and weak decay of Lambda hypernuclei