Fission of heavy $Λ$ hypernuclei with the Skyrme-Hartree-Fock approach

Details Fission of heavy $Λ$ hypernuclei with the Skyrme-Hartree-Fock approach Fission of heavy $Λ$ hypernuclei with the Skyrme-Hartree-Fock approach

2009-09-04

arxiv.org/abs/0909.0868v1

Nucl.Phys.A831:150-162,2009

Physics

Nuclear Physics

Nuclear Theory

20 pages, 18 figures, to be submitted to Nucl. Phys. A

Scientific paper

10.1016/j.nuclphysa.2009.09.063

Fission-related phenomena of heavy $\Lambda$ hypernuclei are discussed with the constraint Skyrme-Hartree-Fock+BCS (SHF+BCS) method, in which a similar Skyrme-type interaction is employed also for the interaction between a $\Lambda$ particle and a nucleon. Assuming that the $\Lambda$ particle adiabatically follows the fission motion, we discuss the fission barrier height of $^{239}_{\Lambda}$U. We find that the fission barrier height increases slightly when the $\Lambda$ particle occupies the lowest level. In this case, the $\Lambda$ particle is always attached to the heavier fission fragment. This indicates that one may produce heavy neutron-rich $\Lambda$ hypernuclei through fission, whose weak decay is helpful for the nuclear transmutation of long-lived fission products. We also discuss cases where the $\Lambda$ particle occupies a higher single-particle level.

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