Fission barriers of heavy nuclei within a microscopic approach

Bonneau, L.; Quentin, P.; Samsoen, D.

doi:10.1140/epja/i2003-10224-x

Cited by 88 publications

(57 citation statements)

References 42 publications

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“…(For SkM * predictions including the energy correction due to the rotational zero-point motion, see Ref. [6].) Overall, the description of experimental data by unedf1 is very reasonable, with the rms deviations from experimental values of E A and E B comparable to the values obtained in more phenomenological models.…”

Section: Superdeformed States and Fission Barrierssupporting

confidence: 52%

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Nuclear energy density optimization: Large deformations

et al. 2012

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A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm pounders. A sensitivity analysis at the optimal solution has revealed the importance of states at large deformations in driving the parameterization of the functional. The good agreement with experimental data on masses and separation energies, achieved with the previous parameterization unedf0, is largely preserved. In addition, the new energy density unedf1 gives a much improved description of the fission barriers in 240 Pu and neighboring nuclei.

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Section: Superdeformed States and Fission Barrierssupporting

confidence: 52%

“…Until now, attempts at going beyond the macroscopic-microscopic methods [3] have been carried in the context of the original selfconsistent nuclear mean-field theory [4] with Skyrme (see, e.g., Refs. [5][6][7][8][9][10]), Gogny (see, e.g., Refs. [11][12][13][14]), and relativistic (see, e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

Nuclear energy density optimization: Large deformations

et al. 2012

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“…This has been confirmed in many further calculations (see, e.g., Ref. [3] using the Hartree-Fock+BCS approach). This phenomenon is driven by the heavy fragment shell effects explaining thus [1], already at this early stage of the fission process, the asymmetric pattern of the fragment mass yields (at low compound-nucleus energy) which had been observed in this region long before.…”

Section: Introductionsupporting

confidence: 70%

Parity restoration in the highly truncated diagonalization approach: Application to the outer fission barrier of240Pu

2012

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The restoration of the parity symmetry has been performed in the framework of the Highly Truncated Diagonalization Approach suited to treat correlations in an explicitly particle-number conserving microscopic approach. To do so we have assumed axial symmetry and used a generalized Wick's theorem due to Löwdin in a projection-after-variation scheme. We have chosen the Skyrme SkM * energy-density functional for the particle-hole channel and a density-independent delta force for the residual interaction. We have applied this approach in the region of the outer fission barrier of the 240 Pu nucleus. As a result, we have shown that the K π = 0 + fission isomeric state is statically unstable against intrinsic-parity breaking modes, while the projection does not affect the energy at the top of the intrinsic outer fission barrier. Altogether, this leads to an increase of the height of the outer fission barrier-with respect to the fission isomeric state-by about 350 keV, affecting thus significantly the fission-decay lifetime of the considered fission isomer.

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“…Here, employed the SkM* and BSk6 parametrizations. The SkM* EDF is known to perform rather well for fission barriers [141,142]. Its surface-symmetry coefficient is also close to the average among Skyrme forces and values from phenomenological estimates, so it can be viewed as fairly representative of the Skyrme functionals.…”

Section: Surface-symmetry Energy and Deformed Neutron-rich Nuclei mentioning

confidence: 69%

Surface symmetry energy of nuclear energy density functionals

et al. 2011

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We study the bulk deformation properties of the Skyrme nuclear energy density functionals. Following simple arguments based on the leptodermous expansion and liquid drop model, we apply the nuclear density functional theory to assess the role of the surface symmetry energy in nuclei. To this end, we validate the commonly used functional parametrizations against the data on excitation energies of superdeformed band-heads in Hg and Pb isotopes, and fission isomers in actinide nuclei. After subtracting shell effects, the results of our self-consistent calculations are consistent with macroscopic arguments and indicate that experimental data on strongly deformed configurations in neutron-rich nuclei are essential for optimizing future nuclear energy density functionals. The resulting survey provides a useful benchmark for further theoretical improvements. Unlike in nuclei close to the stability valley, whose macroscopic deformability hangs on the balance of surface and Coulomb terms, the deformability of neutron-rich nuclei strongly depends on the surface-symmetry energy; hence, its proper determination is crucial for the stability of deformed phases of the neutronrich matter and description of fission rates for r-process nucleosynthesis.

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Fission barriers of heavy nuclei within a microscopic approach

Cited by 88 publications

References 42 publications

Nuclear energy density optimization: Large deformations

Nuclear energy density optimization: Large deformations

Parity restoration in the highly truncated diagonalization approach: Application to the outer fission barrier of240Pu

Surface symmetry energy of nuclear energy density functionals

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