Microscopic description of fission in superheavy nuclei with the parametrization D1M${}^{\ast }$ of the Gogny energy density functional

Abstract

The constrained Hartree-Fock-Bogoliubov approximation, based on the recent parametrization D1M${}^{\ast }$ of the Gogny energy density functional, is used to describe fission in 435 superheavy nuclei. The Gogny-D1M${}^{\ast }$ parametrization is benchmarked against available experimental data on inner and second barrier heights, excitation energies of the fission isomers and half-lives in a selected set of Pu, Cm, Cf, Fm, No, Rf, Sg, Hs and Fl nuclei. Results are also compared with those obtained with the Gogny-D1M energy density functional. A detailed study of the minimal energy fission paths is carried out for isotopic chains with atomic numbers 100 $\le$ Z $\le$ 126 including very neutron-rich sectors up to around 4 MeV from the two-neutron driplines. Single-particle energies, ground state deformations, pairing correlations, two-nucleon separation energies and barrier heights are also discussed. In addition to fission paths, the constrained Hartree-Fock-Bogoliubov framework provides collective masses and zero-point quantum rotational and vibrational energies. Those quantities are building blocks within the Wentzel-Kramer-Brillouin formalism employed to evaluate the systematic of the spontaneous fission half-lives t${}_{\mathrm{SF}}$. The competition between spontaneous fission and $\alpha$-decay is studied, through the computation of the $\alpha$-decay half-lives t${}_{\alpha }$ using a parametrization of the Viola-Seaborg formula. From the comparison with the available experimental data and the results obtained with other theoretical approaches, it is concluded that D1M${}^{\ast }$ represents a reasonable starting point to describe fission in heavy and superheavy nuclei.

24 pages, 16 figures

References in corpus (18)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Structure properties of ${}^{226}$Th and ${}^{256,258,260}$Fm fission fragments: mean field analysis with the Gogny force
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Pairing-induced speedup of nuclear spontaneous fission
• Dynamic versus static fission paths with realistic interactions
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Isovector properties of the Gogny interaction
• Higher-order symmetry energy and neutron star core-crust transition with Gogny forces
• Equation of state of the neutron star matter, and the nuclear symmetry energy
• Shape evolution in Yttrium and Niobium neutron-rich isotopes
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Octupole deformation properties of actinide isotopes within a mean field approach
• Ground state octupole correlation energies with effective forces
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• Microscopic description of fission in odd-mass uranium and plutonium nuclei with the Gogny energy density functional
• Microscopic description of fission in nobelium isotopes with the Gogny-D1M energy density functional

Cited by in corpus (9)

• Nucleosynthesis and observation of the heaviest elements
• Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei
• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Least action description of dynamic pairing correlations in the fission of Curium and Californium isotopes based on the Gogny energy density functional