If we take the nuclear spin I into account, the total angular momentum is \(\rm\vec{F}=\vec{L}+\vec{S}+\vec{I}\), where \(\rm\vec{L}\) and \(\rm\vec{S}\) are the orbital and spin angular momenta of the electron. The Hamiltonian of the hydrogen atom is corrected by the additional interaction \(\lambda\rm\vec{I} \cdot(\vec{L}+\vec{S})\), where λ > 0 is a constant. The total angular momentum quantum number F of the p-orbital state with the lowest energy is