A general theoretical approach to modeling electronic excited states based on a non-Hermitian Hamiltonian is proposed. The proposed analytical model has several advantages. Firstly, it allows all excited states to be targeted by specifying a single excitation parameter. Consequently, all states (ground or excited) are treated equally. Secondly, it allows the consideration of excitations of any nature and power. Thirdly, it provides an estimation of the lifetime of the excited states using a unified approach. We provide a theoretical investigation of the new metastable states in carbon monoxide using this approach. Finally, the electronic structure and the decay time of the excited states in carbon monoxide are discussed.
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