Abstract
The constrained Hartree–Fock–Bogoliubov approximation, based on the recent parametrization D1M\(^{*}\) of the Gogny energy density functional, is used to describe fission in 435 superheavy nuclei. The Gogny-D1M\(^{*}\) 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 \(t_\mathrm {\alpha }\) 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\(^{*}\) represents a reasonable starting point to describe fission in heavy and superheavy nuclei.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data will be released at a later stage when the ongoing calculations for odd mass nuclei are completed. The present set of data can be provided upon request by contacting the corresponding author.]
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Acknowledgements
The work of LMR was partly supported by the Spanish MINECO Grant Nos. FPA2015-65929, FIS2015-63770 and PGC2018-094583-B-I00.
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Rodríguez-Guzmán, R., Humadi, Y.M. & Robledo, L.M. Microscopic description of fission in superheavy nuclei with the parametrization D1M\(^{*}\) of the Gogny energy density functional. Eur. Phys. J. A 56, 43 (2020). https://doi.org/10.1140/epja/s10050-020-00051-w
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DOI: https://doi.org/10.1140/epja/s10050-020-00051-w