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# Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties

## Abstract

The effect of beyond-mean-field effects on the ground state and fission properties of superheavy nuclei has been investigated in a five-dimensional collective Hamiltonian based on covariant density functional theory. The inclusion of dynamical correlations reduces the impact of the $Z=120$ shell closure and induces substantial collectivity for the majority of the $Z=120$ nuclei which otherwise are spherical at the mean-field level (as seen in the calculations with the PC-PK1 functional). As a result, they lead to a substantial convergence of the predictions of the functionals DD-PC1 and PC-PK1 which are different at the mean-field level. On the contrary, the predictions of these two functionals remain distinctly different for the $N=184$ nuclei even when dynamical correlations are included. These nuclei are mainly spherical (oblate) in the calculations with PC-PK1 (DD-PC1). Our calculations for the first time reveal significant impact of dynamical correlations on the heights of inner fission barriers of superheavy nuclei with soft potential energy surfaces, the minimum of which at the mean-field level is located at spherical shape. These correlations affect the fission barriers of the nuclei, which are deformed in the ground state at the mean-field level, to a lesser degree.

- Authors:

- Beihang Univ., Beijing (China)
- Mississippi State Univ., Mississippi State, MS (United States); Kyoto Univ. (Japan)
- Southwest Univ., Chongqing (China)
- Peking Univ., Beijing (China); Kyoto Univ. (Japan)

- Publication Date:

- Research Org.:
- Mississippi State Univ., Mississippi State, MS (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Natural Science Foundation of China (NNSFC)

- OSTI Identifier:
- 1597101

- Alternate Identifier(s):
- OSTI ID: 1546230

- Grant/Contract Number:
- [SC0013037; SC0009971]

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review C

- Additional Journal Information:
- [ Journal Volume: 99; Journal Issue: 6]; Journal ID: ISSN 2469-9985

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

### Citation Formats

```
Shi, Z., Afanasjev, Anatoli V., Li, Z. P., and Meng, J. Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.99.064316.
```

```
Shi, Z., Afanasjev, Anatoli V., Li, Z. P., & Meng, J. Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties. United States. doi:10.1103/PhysRevC.99.064316.
```

```
Shi, Z., Afanasjev, Anatoli V., Li, Z. P., and Meng, J. Wed .
"Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties". United States. doi:10.1103/PhysRevC.99.064316.
```

```
@article{osti_1597101,
```

title = {Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties},

author = {Shi, Z. and Afanasjev, Anatoli V. and Li, Z. P. and Meng, J.},

abstractNote = {The effect of beyond-mean-field effects on the ground state and fission properties of superheavy nuclei has been investigated in a five-dimensional collective Hamiltonian based on covariant density functional theory. The inclusion of dynamical correlations reduces the impact of the Z=120 shell closure and induces substantial collectivity for the majority of the Z=120 nuclei which otherwise are spherical at the mean-field level (as seen in the calculations with the PC-PK1 functional). As a result, they lead to a substantial convergence of the predictions of the functionals DD-PC1 and PC-PK1 which are different at the mean-field level. On the contrary, the predictions of these two functionals remain distinctly different for the N=184 nuclei even when dynamical correlations are included. These nuclei are mainly spherical (oblate) in the calculations with PC-PK1 (DD-PC1). Our calculations for the first time reveal significant impact of dynamical correlations on the heights of inner fission barriers of superheavy nuclei with soft potential energy surfaces, the minimum of which at the mean-field level is located at spherical shape. These correlations affect the fission barriers of the nuclei, which are deformed in the ground state at the mean-field level, to a lesser degree.},

doi = {10.1103/PhysRevC.99.064316},

journal = {Physical Review C},

number = [6],

volume = [99],

place = {United States},

year = {2019},

month = {6}

}

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