The Application of the Cut-Off Coulomb Model Potential for the Calculation of Bound-Bound State Transitions

Nenad Sakan,Vladimir Srećković,Milan Dimitrijević,Zoran Simić

doi:10.3390/atoms6010004

Nenad Sakan, Vladimir Srećković + Show 2 more

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https://doi.org/10.3390/atoms6010004

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Abstract

In this contribution, we present results of bound state transition modeling using the cut-off Coulomb model potential. The cut-off Coulomb potential has proven itself as a model potential for the dense hydrogen plasma. The main aim of our investigation include further steps of improvement of the usage of model potential. The results deal with partially ionized dense hydrogen plasma. The presented results covers N e = 6.5 × 10 18 cm − 3 , T = 18,000 K and N e = 1.5 × 10 19 cm − 3 , T = 23,000 K , where the comparison with the experimental data should take place, and the theoretical values for comparison. Since the model was successfully applied on continuous photoabsorption of dense hydrogen plasma in the broad area of temperatures and densities, it is expected to combine both continuous and bound-bound photoabsorption within single quantum mechanical model with the same success.

Highlights

The problems of plasma opacity, energy transport and radiative transfer under moderate and strong non-ideality are of interest in theoretical and experimental research [1,2,3,4]
We presented a new model way of describing atomic photo-absorption processes in dense, strongly ionized hydrogen plasmas, which is based on the approximation of the cut-off Coulomb potential
This approximation has been used in order to describe transport properties of dense plasmas (e.g., [1,5,6]), but it was clear that it could be applied to some absorption processes in non-ideal plasmas too [3,7,8,9]

Summary

Introduction

The problems of plasma opacity, energy transport and radiative transfer under moderate and strong non-ideality are of interest in theoretical and experimental research [1,2,3,4]. We presented a new model way of describing atomic photo-absorption processes in dense, strongly ionized hydrogen plasmas, which is based on the approximation of the cut-off Coulomb potential. This approximation has been used in order to describe transport properties of dense plasmas (e.g., [1,5,6]), but it was clear that it could be applied to some absorption processes in non-ideal plasmas too [3,7,8,9]. Where n and l are the principal and the orbital quantum number of hydrogen-atom excited states, hydrogen atom in its initial state |ni , li > is presented by H∗ (ni , li ), its final state |n f , l f > by H∗ (n f , l f ), and ε λ presents absorbed photon energy

The Approximation of the Cut-Off Coulomb Potential

The Calculated Quantities

Results and Discussion

Conclusions