Microscopic description of fission in nobelium isotopes with the Gogny-D1M energy density functional

Abstract

Constrained mean-field calculations, based on the Gogny-D1M energy density functional, have been carried out to describe fission in the isotopes ${}^{250-260}$No. The even-even isotopes have been considered within the standard Hartree-Fock-Bogoliobov (HFB) framework while for the odd-mass ones the Equal Filling Approximation (HFB-EFA) has been employed. Ground state quantum numbers and deformations, pairing energies, one-neutron separation energies, inner and outer barrier heights as well as fission isomer excitation energies are given. Fission paths, collective masses and zero-point quantum vibrational and rotational corrections are used to compute the systematic of the spontaneous fission half-lives t${}_{\mathrm{SF}}$ both for even-even and odd-mass nuclei. Though there exists a strong variance of the predicted fission rates with respect to the details involved in their computation, it is shown that both the specialization energy and the pairing quenching effects, taken into account within the self-consistent HFB-EFA blocking procedure, lead to larger t${}_{\mathrm{SF}}$ values in odd-mass nuclei as compared with their even-even neighbors. Alpha decay lifetimes have also been computed using a parametrization of the Viola-Seaborg formula. The high quality of the Gogny-D1M functional regarding nuclear masses leads to a very good reproduction of $Q_{\alpha }$ values and consequently of lifetimes.

13 pages, 9 figures

References in corpus (13)

• Microscopic justification of the Equal Filling approximation
• 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
• Dynamic versus static fission paths with realistic interactions
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
• Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
• Shape evolution in Yttrium and Niobium neutron-rich isotopes
• Octupole deformation properties of actinide isotopes within a mean field approach
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem
• One-particle properties of deformed N $\approx$ 28 odd-N nuclei with weakly-bound or resonant neutrons

Cited by in corpus (8)

• Microscopic description of fission in superheavy nuclei with the parametrization D1M${}^{\ast }$ of the Gogny energy density functional
• Fission of ${}^{240}$Pu with symmetry-restored density functional theory
• Microscopic description of fission in odd-mass uranium and plutonium nuclei with the Gogny energy density functional
• Description of the multidimensional potential energy surface in fission of ${}^{252}$Cf and ${}^{258}$No
• Scission configuration in the self-consistent calculations with neck constraint
• Least action description of dynamic pairing correlations in the fission of Curium and Californium isotopes based on the Gogny energy density functional
• Microscopic description of spontaneous fission based on a Gogny energy density functional including tensor contributions
• Odd nuclei and quasiparticle excitations within the Barcelona Catania Paris Madrid energy density functional