Abstract

The plasma screening effect is found to uncover a Cooper minimum in the photoionization cross sections from the ground state of the Li atom embedded in Debye plasma environment. The variation of the location of this minimum with Debye screening length is discussed and analyzed in terms of the instability of the ground state.

Highlights

  • In the non-relativistic dipole approximation, which is excellent for photoionization cross section below Dν ∼ 10 keV, the cross section is proportional to a weighted sum of the absolute squares of the l → l + 1 and l → l − 1 dipole matrix elements

  • The existence of zeros in dipole matrix elements and the associated minimum in photoionization cross sections has been known for ground states of alkali atoms for long time

  • We chose the 2 seconds state of lithium to illustrate the result that a Cooper minimum can occur in the photoionization of the ground state of Li in a plasma environments, as well as to point out some implications of the plasma screening on this minimum

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Summary

Research Letter

The plasma screening effect is found to uncover a Cooper minimum in the photoionization cross sections from the ground state of the Li atom embedded in Debye plasma environment. The existence of zeros in dipole matrix elements and the associated minimum (called Cooper minimum) in photoionization cross sections has been known for ground states of alkali atoms for long time. This was first discovered experimentally by Dichtburn et al [1]. Β, and γ are the model parameters, Z is the nuclear charge and Nc is the number of electrons in the core shell In this approximation, which has been shown to give quite reasonable results for ground state atoms, the photoionization cross section is given by σ(ω) = 4πωc−1θ3N Im i ψi(r) μ(rθ) ψ0(rθ) Ei − E0 − ω (2).

Na ε
Cooper minimum
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