Predictive power and theoretical uncertainties of mathematical modelling for nuclear physics

Abstract

We discuss the problem of estimating uncertainties of the physical theories while keeping in mind the applications to nuclear structure. We present an analytical model which illustrates the present-day difficulties in achieving a satisfactory level of predictive power in nuclear structure theories as well as suggests the most important direction of improvements, required first of all on the level of the associated solution of the inverse problem of applied mathematics—as explained and illustrated in some detail in the text.