We use convariant harmonic-oscillator wave functions to describe quark-model hadrons in Glauber's model of diffractive scattering. It is shown that the Glauber model can be constructed in the center-of-mass system in terms of fully covariant quantities. For elastic scattering, the covariant model gives the same result as that using nonrelativistic harmonic-oscillator wave functions. For the transition from the n = 0 to n = 2 states, which includes the diffractive excitations to the N ( 1470 ) and N ( 1690 ) resonances, the relativistic effect is simply a multiplication of the nonrelativistic amplitude by the factor ( 1 - α 2 ), α being the velocity difference between the incoming nucleon and the final-state resonance. We discuss the effects of these results on the existing nonrelativistic calculations.
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