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The representation of the wave functions of the nucleon resonances within arelativistic framework is a complex task. In a nonrelativistic framework theorthogonality between states can be imposed naturally. In a relativisticgeneralization, however, the derivation of the orthogonality condition betweenstates can be problematic, particularly when the states have different masses.In this work we study the $N(1520)$ and $N(1535)$ states using a relativisticframework. We considered wave functions derived in previous works, but imposethe orthogonality between the nucleon and resonance states using the propertiesof the nucleon, ignoring the difference of masses between the states(semirelativistic approximation). The $N(1520)$ and $N(1535)$ wave functionsare then defined without any adjustable parameters and are used to makepredictions for the valence quark contributions to the transition form factors.The predictions compare well with the data particularly for high momentumtransfer, where the dominance of the quark degrees of freedom is expected.

Semirelativistic approximation to the $\gamma^\ast N \to N(1520)$ and $\gamma^\ast N \to N(1535)$ transition form factors