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arXiv · 1502.06908

Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method

K. Q. Lu·Z. X. Li·Z. P. Li·J. M. Yao·J. Meng
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Abstract

We report the first global study of dynamic correlation energies (DCEs) associated with rotational motion and quadrupole shape vibrational motion in a covariant energy density functional (CEDF) for 575 even-even nuclei with proton numbers ranging from $Z=8$ to $Z=108$ by solving a five-dimensional collective Hamiltonian, the collective parameters of which are determined from triaxial relativistic mean-field plus BCS calculation using the PC-PK1 force. After taking into account these beyond mean-field DCEs, the root-mean-square (rms) deviation with respect to nuclear masses is reduced significantly down to 1.14 MeV, which is smaller than those of other successful CEDFs: NL3* (2.96 MeV), DD-ME2 (2.39 MeV), DD-ME$δ$ (2.29 MeV) and DD-PC1 (2.01 MeV). Moreover, the rms deviation for two-nucleon separation energies is reduced by $\sim34\%$ in comparison with cranking prescription.

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K. Q. Lu, Z. X. Li, Z. P. Li, J. M. Yao, J. Meng. 2015-02-24. Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method. https://doi.org/10.1103/physrevc.91.027304

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