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Momentum-space properties for the S-states of the valence electron of potassium atom

  • Regular Article – Atomic Physics
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Abstract

Momentum-space properties of the valence electron of potassium atom are studied for 4S ground and Rydberg S-states with principal quantum number \(n=5 \,\mathrm{and}\, 6,\) using an analytical momentum space wave function in quantum-defect theory. Ground state results are compared with Hartree–Fock–Roothaan and hydrogenic theory. Rydberg state results are compared with hydrogenic theory. It is found that ground state results are in good agreement with Hartree–Fock–Roothaan values showing a small difference. This deviation is primarily due to electron correlation which is included in quantum-defect theory. In Rydberg states, deviation between the results of quantum-defect theory and hydrogenic theory reduces too much with the increase in principal quantum number than ground state primarily due to unimportant effect of electron correlation in Rydberg states. Rydberg state results indicate a trend to the similarity with hydrogen atom.

Graphical abstract

Comparison of Compton profiles for the ground state of the valence electron of potassium atom is shown using quantum-defect theory (QDT), Hartree–Fock (HF) and hydrogenic (H) theory.

Comparison of Compton profiles for Rydberg S-states with principal quantum number η = 5 & 6 of the valence electron of potassium atom are shown using quantum-defect theory(QDT), Hartree-Fock( HF) and hydrogenic(H) theory.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors' comment: As it is a theoretical calculation-based work hence no data is generated.]

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  1. Department of Physics, Abhedananda Mahavidyalaya, Sainthia, Birbhum, West-Bengal, India

    Anupam Sarkar

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  1. Anupam Sarkar
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Sarkar, A. Momentum-space properties for the S-states of the valence electron of potassium atom. Eur. Phys. J. D 76, 118 (2022). https://doi.org/10.1140/epjd/s10053-022-00428-0

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