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We review the present status of the nucleon effective mass splitting $puzzle$in asymmetric matter, with controversial predictions within bothnon-relativistic $and$ relativistic approaches to the effective in mediuminteractions. Based on microscopic transport simulations we suggest some rathersensitive observables in collisions of asymmetric (unstable) ions atintermediate ($RIA$) energies: i) Energy systematics of Lane Potentials; ii)Isospin content of fast emitted nucleons; iii) Differential Collective Flows.Similar measurements for light isobars (like $^3H-^3He$) could be alsoimportant.Comment: 13 pages, 10 figures; NSCL/RIA Workshop on "Reaction Mechanisms for  Rare Isotope Beams", March 2005, AIP Proc. Latex Styl

On the splitting of nucleon effective masses at high isospin density: reaction observables