Abstract

We report calculations of accurate high-lying energy resonances of the 4${s}^{2}$4${p}^{2}$ (${}^{1}\phantom{\rule{-0.16em}{0ex}}{D}_{2}$)$nd$ and 4${s}^{2}$4${p}^{2}$ (${}^{1}\phantom{\rule{-0.16em}{0ex}}{S}_{0}$)$nd$ Rydberg series originating from the $4s{}^{2}4{p}^{3}\phantom{\rule{0.16em}{0ex}}{}^{2}\phantom{\rule{-0.16em}{0ex}}{P}_{1/2,3/2}^{0}$ and $4s{}^{2}4{p}^{3}\phantom{\rule{0.16em}{0ex}}{}^{2}\phantom{\rule{-0.16em}{0ex}}{D}_{3/2,5/2}^{0}$ metastable states of Se${}^{+}$. The calculations are performed using the screening constant by unit nuclear charge (SCUNC) method up to $n=40$. The results obtained are compared with the first theoretical $R$-matrix calculations [McLaughlin and Ballance, J. Phys. B: At. Mol. Phys. 45, 095202 (2012)] and with recent ALS measurements [Esteves et al., Phys. Rev. A 84, 013406 (2011)]. Analysis of the present results is achieved in the framework of the standard quantum-defect theory and of the SCUNC procedure by calculating the effective charge. It is shown that the SCUNC method reproduces excellently the ALS results up to $n=25$. Our predicted data up to $n=40$ may be of great importance for the atomic physics community in connection with the modeling of plasma and astrophysical systems.

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