Fission barrier of actinide nuclei with double-Λ particles within the Skyrme–Hartree–Fock method

Fission barrier of actinide nuclei including two Λ hyperons is studied in the framework of the Skyrme–Hartree–Fock approach at zero temperature. We adopt the zero-range Skyrme-type interaction between Λ–N and Λ–Λ. Fission barrier is investigated using several parameter sets for ΛΛ interactions. We obtain the result that the barrier height becomes higher as the number of Λ particle increases and the barrier width has a dependence on the ΛΛ interaction. A relation between Λ binding energy and density distribution of Λ particle inside a core nucleus is also discussed. We found that the both Λ particles are attracted into heavier fission fragment.