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arXiv · 1411.7804

Three-dimensional mesh calculations for covariant density functional theory

Y. Tanimura·K. Hagino·H. Z. Liang
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Abstract

In contrast to the non-relativistic approaches, three-dimensional (3D) mesh calculations for the {\it relativistic} density functional theory have not been realized because of the challenges of variational collapse and fermion doubling. We overcome these difficulties by developing a novel method based on the ideas of Wilson fermion as well as the variational principle for the inverse Hamiltonian. We demonstrate the applicability of this method by applying it to $^{16}$O, $^{24}$Mg, and $^{28}$Si nuclei, providing detailed explanation on the formalism and verification of numerical implementation.

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Y. Tanimura, K. Hagino, H. Z. Liang. 2014-11-28. Three-dimensional mesh calculations for covariant density functional theory. https://doi.org/10.1093/ptep/ptv083

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