Spectroscopy and scattering matrices with nitrogen atom: Rydberg states and optical oscillator strengths

Yuhao Zhu(朱宇豪)^{1,†}, Rui Jin(金锐)^{2}, Yong Wu(吴勇)^{1,3,‡}, and Jianguo Wang(王建国)^{1}

1 Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; 2 Center for Free-Electron Laser Science, DESY, Hamburg 22607, Germany; 3 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100084, China

Abstract The scattering matrices of ${\rm e}+ {\rm N}^{+}$ with $J^\pi=1.5^{+}$ in discrete energy regions are calculated using the eigenchannel R-matrix method. We obtain good parameters of multichannel quantum defect theory (MQDT) that vary smoothly as the function of the energy resulting from the analytical continuation property of the scattering matrices. By employing the MQDT, all discrete energy levels for N could be calculated accurately without missing anyone. The MQDT parameters (i.e., scattering matrices) can be calibrated with the available precise spectroscopy values. In this work, the optical oscillator strengths for the transition between the ground state and Rydberg series are obtained, which provide rich data for the diagnostic analysis of plasma.

(Excitation energies and lifetimes; oscillator strengths)

Fund: Project supported by the Science Challenge Project (Grant No. TZ2016005), the National Key Research and Development Program of China (Grant Nos. 2017YFA0403200 and 2017YFA0402300), and the CAEP Foundation (Grant No. CX2019022). We thank the Institute of Applied Physics and Computational Mathematics for the supercomputing source.

Yuhao Zhu(朱宇豪), Rui Jin(金锐), Yong Wu(吴勇), and Jianguo Wang(王建国) Spectroscopy and scattering matrices with nitrogen atom: Rydberg states and optical oscillator strengths 2022 Chin. Phys. B 31 043103

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