# Semiclassical inertia of nuclear collective dynamics

## Abstract

For the low-lying collective excitations in nuclei, the transport coefficients, such as the stiffness, the inertia, and the friction, are derived within the periodic-orbit theory in the lowest orders of semiclassical expansion corresponding to the extended Thomas-Fermi approach. The multipole vibrations near the spherical shape are described in the mean-field approximation through the infinitely deep square-well potential and Strutinsky averaging of the transport coefficients. Owing to the consistency condition, the collective inertia for sufficiently increased particle numbers and temperatures is substantially larger than that of irrotational flow. The average energies of collective vibrations, reduced friction, and effective damping coefficients are in better agreement with experimental data than those found from the hydrodynamic model.

- Authors:

- Institute for Nuclear Research (Ukraine)

- Publication Date:

- OSTI Identifier:
- 21075902

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 4; Other Information: DOI: 10.1134/S1063778807040059; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; COLLECTIVE EXCITATIONS; FLEXIBILITY; HYDRODYNAMIC MODEL; MEAN-FIELD THEORY; MOMENT OF INERTIA; NUCLEI; PERIODICITY; SEMICLASSICAL APPROXIMATION; SIMULATION; SPHERICAL CONFIGURATION; SQUARE-WELL POTENTIAL; THOMAS-FERMI MODEL

### Citation Formats

```
Magner, A. G., E-mail: magner@kinr.kiev.ua, Gzhebinsky, A. M., and Fedotkin, S. N.
```*Semiclassical inertia of nuclear collective dynamics*. United States: N. p., 2007.
Web. doi:10.1134/S1063778807040059.

```
Magner, A. G., E-mail: magner@kinr.kiev.ua, Gzhebinsky, A. M., & Fedotkin, S. N.
```*Semiclassical inertia of nuclear collective dynamics*. United States. doi:10.1134/S1063778807040059.

```
Magner, A. G., E-mail: magner@kinr.kiev.ua, Gzhebinsky, A. M., and Fedotkin, S. N. Sun .
"Semiclassical inertia of nuclear collective dynamics". United States.
doi:10.1134/S1063778807040059.
```

```
@article{osti_21075902,
```

title = {Semiclassical inertia of nuclear collective dynamics},

author = {Magner, A. G., E-mail: magner@kinr.kiev.ua and Gzhebinsky, A. M. and Fedotkin, S. N.},

abstractNote = {For the low-lying collective excitations in nuclei, the transport coefficients, such as the stiffness, the inertia, and the friction, are derived within the periodic-orbit theory in the lowest orders of semiclassical expansion corresponding to the extended Thomas-Fermi approach. The multipole vibrations near the spherical shape are described in the mean-field approximation through the infinitely deep square-well potential and Strutinsky averaging of the transport coefficients. Owing to the consistency condition, the collective inertia for sufficiently increased particle numbers and temperatures is substantially larger than that of irrotational flow. The average energies of collective vibrations, reduced friction, and effective damping coefficients are in better agreement with experimental data than those found from the hydrodynamic model.},

doi = {10.1134/S1063778807040059},

journal = {Physics of Atomic Nuclei},

number = 4,

volume = 70,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}