Abstract
The scattering matrices of $e\phantom{\rule{0.16em}{0ex}}+\phantom{\rule{0.16em}{0ex}}{\mathrm{O}}^{+}(2{p}^{3}\phantom{\rule{0.16em}{0ex}}^{4}S_{3/2},\phantom{\rule{0.16em}{0ex}}^{2}D_{3/2,5/2})$ with ${J}^{\ensuremath{\pi}}={3}^{\ensuremath{-}}$ in various energy regions including discrete and adjacent continuum are calculated using our modified eigenchannel $R$-matrix method. The analytical properties of the scattering matrices for this multichannel scattering process with strong interchannel interactions are unveiled by our method. Based on the scattering matrices, all energy levels (including an infinite number of Rydberg states and autoionization resonance states without missing any one) can be calculated accurately in the framework of multichannel quantum defect theory (MQDT). The MQDT parameters (i.e., scattering matrices) can be checked and/or calibrated with available precise spectroscopy data. In the present work, the calculation precision of the scattering matrices of ${J}^{\ensuremath{\pi}}={3}^{\ensuremath{-}}$ is determined to be about 2%, which should meet the needs of future calculations for the important $e\phantom{\rule{0.16em}{0ex}}+\phantom{\rule{0.16em}{0ex}}{\mathrm{O}}^{+}$ collision process in astrophysics research.
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