# Influence of dense quantum plasmas on fine-structure splitting of Lyman doublets of hydrogenic systems

## Abstract

Relativistic calculations are performed to study the effects of oscillatory quantum plasma screening on the fine-structure splitting between the components of Lyman-α and β line doublets of atomic hydrogen and hydrgen-like argon ion within dense quantum plasmas, where the effective two-body (electron–nucleus) interaction is modeled by the Shukla–Eliasson oscillatory exponential cosine screened-Coulomb potential. The numerical solutions of the radial Dirac equation for the quantum plasma-embedded atomic systems reveal that the oscillatory quantum screening effect suppresses the doublet (energy) splitting substantially and the suppression becomes more prominent at large quantum wave number k{sub q}. In the absence of the oscillatory cosine screening term, much larger amount of suppression is noticed at larger values of k{sub q}, and the corresponding results represent the screening effect of an exponential screened-Coulomb two-body interaction. The Z{sup 4} scaling of the Lyman doublet splitting in low-Z hydrogen isoelectronic series of ions in free space is violated in dense quantum plasma environments. The relativistic data for the doublet splitting in the zero screening (k{sub q} = 0) case are in very good agreement with the NIST reference data, with slight discrepancies (∼0.2%) arising from the neglect of the quantum electrodynamic effects.

- Authors:

- Department of Physics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, West Bengal (India)

- Publication Date:

- OSTI Identifier:
- 22410366

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; ARGON IONS; COULOMB FIELD; DIRAC EQUATION; ELECTRON-NUCLEON INTERACTIONS; FINE STRUCTURE; HYDROGEN; LYMAN LINES; NUMERICAL SOLUTION; QUANTUM PLASMA; RELATIVISTIC RANGE; SCREENING; SCREENS; TWO-BODY PROBLEM

### Citation Formats

```
De, Madhab, E-mail: madhab2012@gmail.com, and Ray, Debasis, E-mail: ray.debasis@gmail.com.
```*Influence of dense quantum plasmas on fine-structure splitting of Lyman doublets of hydrogenic systems*. United States: N. p., 2015.
Web. doi:10.1063/1.4921647.

```
De, Madhab, E-mail: madhab2012@gmail.com, & Ray, Debasis, E-mail: ray.debasis@gmail.com.
```*Influence of dense quantum plasmas on fine-structure splitting of Lyman doublets of hydrogenic systems*. United States. doi:10.1063/1.4921647.

```
De, Madhab, E-mail: madhab2012@gmail.com, and Ray, Debasis, E-mail: ray.debasis@gmail.com. Fri .
"Influence of dense quantum plasmas on fine-structure splitting of Lyman doublets of hydrogenic systems". United States. doi:10.1063/1.4921647.
```

```
@article{osti_22410366,
```

title = {Influence of dense quantum plasmas on fine-structure splitting of Lyman doublets of hydrogenic systems},

author = {De, Madhab, E-mail: madhab2012@gmail.com and Ray, Debasis, E-mail: ray.debasis@gmail.com},

abstractNote = {Relativistic calculations are performed to study the effects of oscillatory quantum plasma screening on the fine-structure splitting between the components of Lyman-α and β line doublets of atomic hydrogen and hydrgen-like argon ion within dense quantum plasmas, where the effective two-body (electron–nucleus) interaction is modeled by the Shukla–Eliasson oscillatory exponential cosine screened-Coulomb potential. The numerical solutions of the radial Dirac equation for the quantum plasma-embedded atomic systems reveal that the oscillatory quantum screening effect suppresses the doublet (energy) splitting substantially and the suppression becomes more prominent at large quantum wave number k{sub q}. In the absence of the oscillatory cosine screening term, much larger amount of suppression is noticed at larger values of k{sub q}, and the corresponding results represent the screening effect of an exponential screened-Coulomb two-body interaction. The Z{sup 4} scaling of the Lyman doublet splitting in low-Z hydrogen isoelectronic series of ions in free space is violated in dense quantum plasma environments. The relativistic data for the doublet splitting in the zero screening (k{sub q} = 0) case are in very good agreement with the NIST reference data, with slight discrepancies (∼0.2%) arising from the neglect of the quantum electrodynamic effects.},

doi = {10.1063/1.4921647},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 5,

volume = 22,

place = {United States},

year = {2015},

month = {5}

}