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

Abstract

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 ${}_{\Lambda }^{239}$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.

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

References in corpus (6)

• Shape Coexistence and the Effective Nucleon-Nucleon Interaction
• Incompressibility of neutron-rich matter
• Potential energy surfaces of superheavy nuclei
• Microscopic study of 240Pu, mean-field and beyond
• Systematic Study of Fission Barriers of Excited Superheavy Nuclei
• Fission barriers in neutron-proton isospin plane for heavy neutron-rich nuclei

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• Formation of hypernuclei in evaporation and fission processes
• Constraint of the Nuclear Dissipation Coefficient in Fission of Hypernuclei
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• Sum rule approach to a soft dipole mode in $\Lambda$ hypernuclei
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• Tetrahedral shape and Lambda impurity effect in ${}^{80}$Zr with a multidimensionally constrained relativistic Hartree-Bogoliubov model
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• Reaction cross sections of hypernuclei and the shrinkage effect