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Report No.
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Fission of heavy $$Lambda$$ hypernuclei with the Skyrme-Hartree-Fock approach

Minato, Futoshi   ; Hagino, Koichi*; Chiba, Satoshi

It has been shown that the shape of a few deformed nuclei change toward spherical when a $$Lambda$$ particle is added to them. This is caused because the interaction between a $$Lambda$$ particle and a nucleon is attractive. This fact has motivated us to investigate the influence of $$Lambda$$ particle on the fission of heavy nuclei. We will discuss the fission-related phenomena of heavy $$Lambda$$ hypernuclei with the constraint Skyrme-Hartree-Fock+BCS (SHF+BCS) method. We employ a Skyrme-type interaction for the $$Lambda N$$ interaction and assume adiabaticity, that is, the $$Lambda$$ particle is assumed to be in the lowest state at all deformations. Our result confirms that the $$Lambda$$ particle is stuck to the heavier fission fragment, which is consistent with the experimental result of CERN. We will also discuss the deformation of heavy $$Lambda$$ hypernuclei and the $$Lambda$$ particle motion inside the core nuclei.

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