Shell corrections of superheavy nuclei in self-consistent calculations

A. Kruppa, M. Bender, W. Nazarewicz, P. G. Reinhard, T. Vertse, S. Ćwiok

Research output: Contribution to journalArticle

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Abstract

Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and relativistic mean-field theories. As a result of the presence of a low-lying proton continuum resulting in a free particle gas, special attention is paid to the treatment of the single-particle level density. To cure the pathological behavior of the shell correction around the particle threshold, a method based on the Green's function approach has been adopted. It is demonstrated that for the vast majority of Skyrme interactions commonly employed in nuclear structure calculations, the strongest shell stabilization appears for Z= 124 and 126, and for N= 184. On the other hand, in the relativistic approaches the strongest spherical shell effect appears systematically for Z= 120 and N= 172. This difference probably has its roots in the spin-orbit potential. We have also shown that, in contrast to shell corrections which are fairly independent of the force, macroscopic energies extracted from self-consistent calculations strongly depend on the actual force parametrization used. That is, the A and Z dependence of the mass surface when extrapolating to unknown superheavy nuclei is prone to significant theoretical uncertainties.

Original languageEnglish
Pages (from-to)343131-3431313
Number of pages3088183
JournalPhysical Review C - Nuclear Physics
Volume61
Issue number3
Publication statusPublished - Mar 2000

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nuclei
nuclear binding energy
spherical shells
nuclear structure
Green's functions
stabilization
continuums
orbits
thresholds
protons
gases
interactions
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Kruppa, A., Bender, M., Nazarewicz, W., Reinhard, P. G., Vertse, T., & Ćwiok, S. (2000). Shell corrections of superheavy nuclei in self-consistent calculations. Physical Review C - Nuclear Physics, 61(3), 343131-3431313.

Shell corrections of superheavy nuclei in self-consistent calculations. / Kruppa, A.; Bender, M.; Nazarewicz, W.; Reinhard, P. G.; Vertse, T.; Ćwiok, S.

In: Physical Review C - Nuclear Physics, Vol. 61, No. 3, 03.2000, p. 343131-3431313.

Research output: Contribution to journalArticle

Kruppa, A, Bender, M, Nazarewicz, W, Reinhard, PG, Vertse, T & Ćwiok, S 2000, 'Shell corrections of superheavy nuclei in self-consistent calculations', Physical Review C - Nuclear Physics, vol. 61, no. 3, pp. 343131-3431313.
Kruppa A, Bender M, Nazarewicz W, Reinhard PG, Vertse T, Ćwiok S. Shell corrections of superheavy nuclei in self-consistent calculations. Physical Review C - Nuclear Physics. 2000 Mar;61(3):343131-3431313.
Kruppa, A. ; Bender, M. ; Nazarewicz, W. ; Reinhard, P. G. ; Vertse, T. ; Ćwiok, S. / Shell corrections of superheavy nuclei in self-consistent calculations. In: Physical Review C - Nuclear Physics. 2000 ; Vol. 61, No. 3. pp. 343131-3431313.
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