[Formula Presented] fields and chiral scalars in nuclear three-body potentials
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The scalar-isoscalar field of an effective chiral Lagrangian transforms differently in either linear or nonlinear frameworks: in the former case it is the counterpart of the pion whereas in the latter it is chiral invariant on its own. We compare the predictions from these two models for nucleon interactions and find results which are identical for two-body and rather different for three-body potentials. Some qualitative features of three-body interactions are discussed. © 1998 The American Physical Society.