Applying simple considerations we obtain a model for calculating Glauber nucleus-nucleus elastic scattering amplitude in which the two colliding nuclei are treated on the same footing and which has the simplifying features of the rigid projectile model. Taking 4He--4He elastic scattering as an example we compare the predictions of this and the optical limit and the rigid projectile models with the full Glauber calculation in two approaches. In one the problem is formulated in terms of the intrinsic densities and in the other in terms of the model densities and the associated centre of mass correlation correction factor. It is found that the working of a given model depends much upon the approach adopted for evaluating the amplitude.
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