Three-dimensional Skyrme Hartree-Fock-Bogoliubov solver in coordinate-space representation

Chen, Mengzhi; Li, T.; Schuetrumpf, Bastian; Reinhard, P.‐G.; Nazarewicz, W.

doi:10.1016/j.cpc.2022.108344

Cited by 4 publications

(1 citation statement)

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“…In this approach, referred to as the L 2 discretization, quasi-particle continuum of HFB is represented by a finite number of box states. The structure of the discretized continuum depends on the size and geometry of the box [185]. In the context of the Dirac equation, scalar confinements at the level of strong Coulomb fields need to be explored, for example within a finite element approach [186,187].…”

Section: Hartree-fock-bogoliubov Equation Analogymentioning

confidence: 99%

Pushing the Limits of the Periodic Table -- A Review on Atomic Relativistic Electronic Structure Theory and Calculations for the Superheavy Elements

Smits,

Indelicato,

Nazarewicz

et al. 2023

Preprint

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We review the progress in atomic structure theory with a focus on superheavy elements and the aim to predict their ground state configuration and element's placement in the periodic table. To understand the electronic structure and correlations in the regime of large atomic numbers, it is important to correctly solve the Dirac equation in strong Coulomb fields, and also to take into account quantum electrodynamic effects. We specifically focus on the fundamental difficulties encountered when dealing with the many-particle Dirac equation. We further discuss the possibility for future many-electron atomic structure calculations going beyond the critical nuclear charge Z crit ≈ 170, where levels such as the 1s shell dive into the negative energy continuum (E nκ < −m e c 2 ). The nature of the resulting Gamow states within a rigged Hilbert space formalism is highlighted.* Here we define the starting point of the superheavy element region at the transactinides, Z ≥ 103

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Section: Hartree-fock-bogoliubov Equation Analogymentioning

confidence: 99%