Investigation of the doubly excited 1Po resonance series in C4+ ion

We investigate in the present paper the doubly excited ${}^1{P}^o$ states in the C${}^{4+}$ ion. We report highly accurate results of their energy positions in the energy spectrum, their lifetimes and the x-ray photon energies required to populate them and observe their autoionization. The results were obtained by using our B-spline based spectral approach combined with the complex rotation method that has proven its effectiveness in the detection of the doubly excited states in the O${}^{6+}$ [1] and Li${}^{+}$ [2] ions. We also report in the paper the first results on the characterization and identification of the states that share similar angular correlation pattern, which allows their classification into distinct resonance series.