Shape of Lambda hypernuclei in (beta,gamma) deformation plane

Abstract

We study the shape of $\Lambda$ hypernuclei in the full ($\beta ,\gamma$) deformation plane, including both axially symmetric and triaxial quadrupole deformations. To this end, we use the constrained Skyrme Hartree-Fock+BCS method on the three-dimensional Cartesian mesh. The potential energy surface is analyzed for carbon hypernuclei as well as for sd-shell hypernuclei such as ${}_{\Lambda }^{27,29}$Si and ${}_{\Lambda }^{25,27}$Mg. We show that the potential energy surface in the ($\beta ,\gamma$) plane is similar to each other between the hypernuclei and the corresponding core nuclei, although the addition of $\Lambda$ hyperon makes the energy surface somewhat softer along the $\gamma$ direction. Our calculation implies that the energy of the $\gamma$ vibration for ${}_{\Lambda }^{25,27}$Mg nuclei is lowered by about 0.15 MeV with respect to that of ${}^{24,26}$Mg nuclei.

10 pages, 15 figures

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