Adiabatic fission barriers in superheavy nuclei

Abstract

Using the microscopic-macroscopic model based on the deformed Woods-Saxon single-particle potential and the Yukawa-plus-exponential macroscopic energy we calculated static fission barriers $B_f$ for 1305 heavy and superheavy nuclei $98\le Z\le 126$, including even - even, odd - even, even - odd and odd - odd systems. For odd and odd-odd nuclei, adiabatic potential energy surfaces were calculated by a minimization over configurations with one blocked neutron or/and proton on a level from the 10-th below to the 10-th above the Fermi level. The parameters of the model that have been fixed previously by a fit to masses of even-even heavy nuclei were kept unchanged. A search for saddle points has been performed by the "Imaginary Water Flow" method on a basic five-dimensional deformation grid, including triaxiality. Two auxiliary grids were used for checking the effects of the mass asymmetry and hexadecapole non-axiallity. The ground states were found by energy minimization over configurations and deformations. We find that the non-axiallity significantly changes first and second fission barrier in many nuclei. The effect of the mass - asymmetry, known to lower the second, very deformed barriers in actinides, in the heaviest nuclei appears at the less deformed saddles in more than 100 nuclei. It happens for those saddles in which the triaxiallity does not play any role, what suggests a decoupling between effects of the mass-asymmetry and triaxiality. We studied also the influence of the pairing interaction strength on the staggering of $B_f$ for odd- and even-particle numbers. Finally, we provide a comparison of our results with other theoretical fission barrier evaluations and with available experimental estimates.

submitted to PRC

References in corpus (2)

• Superdeformed Oblate Superheavy Nuclei?
• Low energy shape oscillations of negative parity in the main and shape-isomeric minima in actinides

Cited by in corpus (25)

• Theory of Nuclear Fission
• Fission properties of superheavy nuclei for r-process calculations
• Properties of heaviest nuclei with $98\le Z\le 126$ and $134\le N\le 192$
• $\beta$-delayed fission in $r$-process nucleosynthesis
• Cluster Radioactivity in Super Heavy Nuclei
• Extension of nuclear landscape to hyperheavy nuclei
• Nucleosynthesis and observation of the heaviest elements
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• Microscopic description of fission in superheavy nuclei with the parametrization D1M${}^{\ast }$ of the Gogny energy density functional
• Static fission properties of actinide nuclei
• On the stability of super-heavy nuclei
• Level-density parameters in superheavy nuclei
• Description of the multidimensional potential energy surface in fission of ${}^{252}$Cf and ${}^{258}$No
• Effect of tetrahedral shapes in heavy and superheavy nuclei
• Time-dependent Hartree-Fock study of quasifission trajectories in reactions forming ${}^{294}$Og
• Production of super-heavy nuclei in cold fusion reactions
• Microscopic Calculation of Fission Product Yields for Odd-Mass Nuclei
• Hindered alpha decays of heaviest high-K isomers
• Diffusion as a possible mechanism controlling the production of superheavy nuclei in cold fusion reactions
• The decline rate of the production cross-section of superheavy nuclei with $Z=114-117$ at high excitation energies
• Shape isomers in Pt, Hg and Pb isotopes with N $\le$ 126
• Instanton-motivated study of spontaneous fission of odd-A nuclei
• Hypothesis about Enrichment of Solar System
• "In-System" Fission-Events: An Insight into Puzzles of Exoplanets and Stars?
• First observation of high-$K$ isomeric states in ${}^{249}$Md and ${}^{251}$Md