We study the deformation property of Λ hypernuclei using the relativistic mean-field (RMF) method. We find that ${}_{\Lambda }^{29}\mathrm{Si}$ and ${}_{\Lambda }^{13}\mathrm{C}$ hypernuclei have a spherical shape as a consequence of the additional Λ particle, whereas the corresponding core nuclei, ${}^{28}\mathrm{Si}$ and ${}^{12}\mathrm{C}$, are oblately deformed. Most other hypernuclei have a similar deformation parameter to the core nucleus, in accordance with the previous study with the nonrelativistic Skyrme-Hartree-Fock method. We discuss the sensitivity of our results to the choice of pairing interaction and to the parameter set of the RMF Lagrangian.

• Received 25 August 2008

DOI:https://doi.org/10.1103/PhysRevC.78.054311