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arXiv · 2308.08882

Tetrahedral shape of $^{110}$Zr from covariant density functional theory in 3D lattice space

Fangfang Xu·Bo Li·Zhengxue Ren·Pengwei Zhao
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Abstract

Covariant density functional theory is solved in 3D lattice space by implementing the preconditioned conjugate gradient method with a filtering function (PCG-F). It considerably improves the computational efficiency compared to the previous inverse Hamiltonian method (IHM). This new method is then applied to explore the tetrahedral shape of $^{110}$Zr in the full deformation space. The ground state of $^{110}$Zr is found to have a tetrahedral shape, but the deformations $\beta_{31}$ and $\beta_{33}$ greatly soften the potential energy surface. This effect is analysed with the microscopic evolution of the single-particle levels near the Fermi surface driven by the deformation.

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Fangfang Xu, Bo Li, Zhengxue Ren, Pengwei Zhao. 2023-08-17. Tetrahedral shape of $^{110}$Zr from covariant density functional theory in 3D lattice space. https://arxiv.org/abs/2308.08882

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