# Self-consistent theory of finite Fermi systems and radii of nuclei

## Abstract

Present-day self-consistent approaches in nuclear theory were analyzed from the point of view of describing distributions of nuclear densities. The generalized method of the energy density functional due to Fayans and his coauthors (this is the most successful version of the self-consistent theory of finite Fermi systems) was the first among the approaches under comparison. The second was the most successful version of the Skyrme-Hartree-Fock method with the HFB-17 functional due to Goriely and his coauthors. Charge radii of spherical nuclei were analyzed in detail. Several isotopic chains of deformed nuclei were also considered. Charge-density distributions {rho}{sub ch}(r) were calculated for several spherical nuclei. They were compared with model-independent data extracted from an analysis of elastic electron scattering on nuclei.

- Authors:

- Russian Research Centre Kurchatov Institute (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22043857

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Atomic Nuclei

- Additional Journal Information:
- Journal Volume: 74; Journal Issue: 9; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHARGE DENSITY; COMPARATIVE EVALUATIONS; DEFORMED NUCLEI; ELASTIC SCATTERING; ELECTRON REACTIONS; ELECTRONS; ENERGY DENSITY; HARTREE-FOCK METHOD; NUCLEAR MATTER; NUCLEAR THEORY; SKYRME POTENTIAL; SPHERICAL CONFIGURATION

### Citation Formats

```
Saperstein, E. E., E-mail: saper@mbslab.kiae.ru, and Tolokonnikov, S. V.
```*Self-consistent theory of finite Fermi systems and radii of nuclei*. United States: N. p., 2011.
Web. doi:10.1134/S1063778811090109.

```
Saperstein, E. E., E-mail: saper@mbslab.kiae.ru, & Tolokonnikov, S. V.
```*Self-consistent theory of finite Fermi systems and radii of nuclei*. United States. doi:10.1134/S1063778811090109.

```
Saperstein, E. E., E-mail: saper@mbslab.kiae.ru, and Tolokonnikov, S. V. Thu .
"Self-consistent theory of finite Fermi systems and radii of nuclei". United States. doi:10.1134/S1063778811090109.
```

```
@article{osti_22043857,
```

title = {Self-consistent theory of finite Fermi systems and radii of nuclei},

author = {Saperstein, E. E., E-mail: saper@mbslab.kiae.ru and Tolokonnikov, S. V.},

abstractNote = {Present-day self-consistent approaches in nuclear theory were analyzed from the point of view of describing distributions of nuclear densities. The generalized method of the energy density functional due to Fayans and his coauthors (this is the most successful version of the self-consistent theory of finite Fermi systems) was the first among the approaches under comparison. The second was the most successful version of the Skyrme-Hartree-Fock method with the HFB-17 functional due to Goriely and his coauthors. Charge radii of spherical nuclei were analyzed in detail. Several isotopic chains of deformed nuclei were also considered. Charge-density distributions {rho}{sub ch}(r) were calculated for several spherical nuclei. They were compared with model-independent data extracted from an analysis of elastic electron scattering on nuclei.},

doi = {10.1134/S1063778811090109},

journal = {Physics of Atomic Nuclei},

issn = {1063-7788},

number = 9,

volume = 74,

place = {United States},

year = {2011},

month = {9}

}