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Recently a nonlinear Schr\"odinger equation (NLSE) with an inhomogeneous term proportional to bln (||^2|a^3) has been put forward. It has been proposed to apply it to atomic physics. Subsequent neutron interferometer experiments designed to test the physical reality of such a nonlinearity were not conclusive, thus rejecting it as unphysical. In the present paper it is pointed out that the different length scales a associated with atomic and nuclear physics, for example, lead to different typical energies b for these systems. Guided by the experience with phenomenological NLSE's, the constant b is for the following applications to nuclear physics identified with the compressibility of finite nuclear matter, C=K9, i. e. , b. Thus we obtain consistent qualitative and quantitative answers related to the concepts of microworlds and mesoworlds as well as, e. g. , the prediction 130<~K<~250 MeV. However, this necessitates the interpretation of the respective NLSE as an equation for extended objects.
E. F. Hefter (Thu,) studied this question.