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Relative energy level shifts of hydrogen-like carbon bound-states in dense matter

Published online by Cambridge University Press:  22 December 2010

C.-V. Meister ,
M. Imran  and
D.H.H. Hoffmann
C.-V. Meister*
Affiliation:
Technische Universität Darmstadt, Darmstadt, Germany
M. Imran
Affiliation:
Technische Universität Darmstadt, Darmstadt, Germany
D.H.H. Hoffmann
Affiliation:
Technische Universität Darmstadt, Darmstadt, Germany
*
Address correspondence and reprint requests to: C.-V. Meister, Technische Universität Darmstadt, Schlossgartenstraße 9, Darmstadt, Germany. E-mail: [email protected]
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Abstract

The aim of the present work is the further development of the thermodynamics of hydrogen-like plasmas with densities on the order of 1027–1029 m−3 at temperatures of 106−108 K. Therefore, the Jacobi-Padé approximation for the so-called relative energy level shifts is applied to a quasineutral plasma consisting of six-fold and five-fold ionized carbon atoms and electrons. The relative energy level shift of the five-fold ionized carbon is determined by the difference between Coulomb and Debye potential, and by the kinetic energy of the particles. The shift caused by the kinetic energy (KES) has to be found considering the momentum space of the particles, so that nine-fold integrals in phase space have to be calculated. Quantum-physically, former numerical calculations of KES were only performed for particle states with zero angular quantum numbers. In the present work, a detailed, to a large extent analytical analysis of the KES is given for any angular quantum number, enabling also an improved analysis of future further-developed Jacobi-Padé formulae. Relative energy shifts of the bound-states of the fivefold ionized carbon are numerically obtained as function of the Mott parameter of the plasma. Dependencies of the shifts on main quantum numbers and orbital quantum numbers are discussed.

Keywords

Carbon plasmaHydrogen-like plasmasMott transitionPlasma theoryRelative energy level shiftsWarm dense matter
Type
Research Article
Information
Laser and Particle Beams , Volume 29 , Issue 1 , March 2011 , pp. 17 - 27
Copyright
Copyright © Cambridge University Press 2010

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