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Convergence Behavior of the Nuclear Energy Density Functional for Nuclei
New Phys.: Sae Mulli 2018; 68: 324~328
Published online March 30, 2018;
© 2018 New Physics: Sae Mulli.

Hana GIL1, Chang Ho HYUN*2

1 Department of Physics, Kyungpook National University, Daegu 41566, Korea
2 Department of Physics Education, Daegu University, Gyeongsan 38453, Korea
Correspondence to:
Received December 15, 2017; Revised January 13, 2018; Accepted January 26, 2018.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the feasibility of a systematic expansion scheme for the study of nuclear structure. We employ a new nuclear energy density functional (EDF) proposed by P. Papakonstantinou et al. [Phys. Rev. C 97, 014312 (2018)], where the EDF is expanded in powers of the Fermi momentum $k_F$. First, we consider the two lowest-order terms proportional to $k^3_F$ and $k^4_F$ in the interaction part and calculate the properties of several spherical magic nuclei. We repeat the calculation by adding higher-order terms proportional to $k^5_F$ and $k^6_F$ and investigate the resulting predictions for the nuclear properties. The prediction is significantly improved when three interaction terms, $k^3_F$, $k^4_F$ and $k^5_F$, are considered. The fourth term proportional to $k^6_F$ corrects the preceding results in a limited range and improves the result marginally. This investigation sheds light on the possibility for accessing a perturbative understanding of nuclear structure.  
PACS numbers: 21.60.Jz, 21.10.-k
Keywords: Nuclear energy density functional, Properties of nuclei

July 2018, 68 (7)
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