The NO+MO/HF theory has been previously proposed to determine the nuclear and electronic wave functions in the ground state without the Born-Oppenheimer approximation. In this study, we apply the configuration interaction method with single particle excitation operators to the NO+MO/HF wave function. This method, named NO+MO/CIS method, gives not only the electronic excited state but also the vibrational excited state. Numerical applications of the NO+MO/CIS method to H2, D2, T2, and H3+ molecules are performed and confirm its accuracy and feasibility.
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