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An investigation is made of the effect of the (central) A-nucleon potential V~and of the density distribution p of the a particle on the central part of the V~interaction, in the framework of the rigid-core model, adopted originally in this context by Dalitz and Downs.Single and double Gaussian shapes for V~and p are considered, the latter having the advantage that the charge form factor fits rather well the experimental results deduced from the electron scattering experiments including those at high momentum transfers. The differences observed in the values of Vz depend mainly on the central A-nucleon potential assumed and they are very strong for small values of r. Differences also exist in this region because of the various densities used. The double Gaussian density has the effect of lowering the values of VA near the center of the a particle in almost all the cases of double Gaussian A-nucleon potentials. NUCLEAR STRUCTURE Hypernuclei; qHe; A-a interaction; A-N interaction, density of. He.

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