### Abstract

The symmetry energy coefficients in finite nuclei have been studied systematically with a covariant density functional theory (DFT) and compared with the values calculated using several available mass tables. Due to the contamination of the shell effect, the nuclear symmetry energy coefficients extracted from the binding energies have large fluctuations around the nuclei with double magic numbers. The size of this contamination is shown to be smaller for the nuclei with a larger isospin value. After subtracting the shell effect with the Strutinsky method, the obtained nuclear symmetry energy coefficients with different isospin values are shown to decrease smoothly with the mass number A and are subsequently fitted to the relation . The resultant volume b_{v} and surface b_{s} coefficients from axially deformed covariant DFT calculations are 121.73 and 197.98 MeV, respectively. The ratio b_{s}/b_{v} = 1.63 is in good agreement with the value derived from the previous calculations with the non-relativistic Skyrme energy functionals. The coefficients b_{v} and b_{s} corresponding to several available mass tables are also extracted. It is shown that there is a strong linear correlation between the volume b_{v} and surface b _{s} coefficients and the ratios b_{s}/b_{v} are in between 1.6and2.0 for all the cases.

Original language | English |
---|---|

Article number | 015107 |

Journal | Journal of Physics G: Nuclear and Particle Physics |

Volume | 39 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2012 Jan 1 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Systematic study of the symmetry energy coefficient in finite nuclei'. Together they form a unique fingerprint.

## Cite this

*Journal of Physics G: Nuclear and Particle Physics*,

*39*(1), [015107]. https://doi.org/10.1088/0954-3899/39/1/015107