# Effect of dense plasmas on exchange-energy shifts in highly charged ions: An alternative approach for arbitrary perturbation potentials

## Abstract

An alternative method of calculation of dense plasma effects on exchange-energy shifts {Delta}E{sub x} of highly charged ions is proposed which results in closed expressions for any plasma or perturbation potential. The method is based on a perturbation theory expansion for the inner atomic potential produced by charged plasma particles employing the Coulomb Green function method. This approach allows us to obtain analytic expressions and scaling laws with respect to the electron temperature T, density n{sub e}, and nuclear charge Z. To demonstrate the power of the present method, two specific models were considered in detail: the ion sphere model (ISM) and the Debye screening model (DSM). We demonstrate that analytical expressions can be obtained even for the finite temperature ISM. Calculations have been carried out for the singlet 1s2p{sup 1} P{sub 1} and triplet 1s2p{sup 3} P{sub 1} configurations of He-like ions with charge Z that can be observed in dense plasmas via the He-like resonance and intercombination lines. Finally we discuss recently available purely numerical calculations and experimental data.

- Authors:

- Sorbonne Universites, Pierre et Marie Curie, UMR 7605, case 128, 4 place Jussieu, F-75252 Paris (France)
- (France)
- (Germany)
- Russian Research Center Kurchatov, Laboratory of Radiation Theory, Kurchatov Square 1, 123182 Moscow (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22068697

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. A

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ATOMIC NUMBER; DENSITY; DISTURBANCES; ELECTRON TEMPERATURE; GREEN FUNCTION; IONS; PERTURBATION THEORY; PLASMA; POTENTIALS; RESONANCE; SCALING LAWS; SCREENING; SPHERES; TRIPLETS

### Citation Formats

```
Rosmej, F., Ecole Polytechnique, Laboratoire pour l'Utilisation des Lasers Intenses LULI, Physique Atomique dans les Plasmas Denses PAPD, F-91228 Palaiseau, Bennadji, K., ExtreMe Matter Institute EMMI, GSI Helmholtz Centre of Heavy Ion Research, Planckstrasse 1, D-64291 Darmstadt, and Lisitsa, V. S.
```*Effect of dense plasmas on exchange-energy shifts in highly charged ions: An alternative approach for arbitrary perturbation potentials*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.032512.

```
Rosmej, F., Ecole Polytechnique, Laboratoire pour l'Utilisation des Lasers Intenses LULI, Physique Atomique dans les Plasmas Denses PAPD, F-91228 Palaiseau, Bennadji, K., ExtreMe Matter Institute EMMI, GSI Helmholtz Centre of Heavy Ion Research, Planckstrasse 1, D-64291 Darmstadt, & Lisitsa, V. S.
```*Effect of dense plasmas on exchange-energy shifts in highly charged ions: An alternative approach for arbitrary perturbation potentials*. United States. doi:10.1103/PHYSREVA.84.032512.

```
Rosmej, F., Ecole Polytechnique, Laboratoire pour l'Utilisation des Lasers Intenses LULI, Physique Atomique dans les Plasmas Denses PAPD, F-91228 Palaiseau, Bennadji, K., ExtreMe Matter Institute EMMI, GSI Helmholtz Centre of Heavy Ion Research, Planckstrasse 1, D-64291 Darmstadt, and Lisitsa, V. S. Thu .
"Effect of dense plasmas on exchange-energy shifts in highly charged ions: An alternative approach for arbitrary perturbation potentials". United States. doi:10.1103/PHYSREVA.84.032512.
```

```
@article{osti_22068697,
```

title = {Effect of dense plasmas on exchange-energy shifts in highly charged ions: An alternative approach for arbitrary perturbation potentials},

author = {Rosmej, F. and Ecole Polytechnique, Laboratoire pour l'Utilisation des Lasers Intenses LULI, Physique Atomique dans les Plasmas Denses PAPD, F-91228 Palaiseau and Bennadji, K. and ExtreMe Matter Institute EMMI, GSI Helmholtz Centre of Heavy Ion Research, Planckstrasse 1, D-64291 Darmstadt and Lisitsa, V. S.},

abstractNote = {An alternative method of calculation of dense plasma effects on exchange-energy shifts {Delta}E{sub x} of highly charged ions is proposed which results in closed expressions for any plasma or perturbation potential. The method is based on a perturbation theory expansion for the inner atomic potential produced by charged plasma particles employing the Coulomb Green function method. This approach allows us to obtain analytic expressions and scaling laws with respect to the electron temperature T, density n{sub e}, and nuclear charge Z. To demonstrate the power of the present method, two specific models were considered in detail: the ion sphere model (ISM) and the Debye screening model (DSM). We demonstrate that analytical expressions can be obtained even for the finite temperature ISM. Calculations have been carried out for the singlet 1s2p{sup 1} P{sub 1} and triplet 1s2p{sup 3} P{sub 1} configurations of He-like ions with charge Z that can be observed in dense plasmas via the He-like resonance and intercombination lines. Finally we discuss recently available purely numerical calculations and experimental data.},

doi = {10.1103/PHYSREVA.84.032512},

journal = {Physical Review. A},

issn = {1050-2947},

number = 3,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}