Radial sensitivity of kaonic atoms and strongly bound K̄ states

The strength of the low-energy K - nucleus real potential has recently received renewed attention in view of experimental evidence for the possible existence of strongly bound K- states. Previous fits to kaonic atom data led to either "shallow" or "deep" potentials, where only the former are in agreement with chiral approaches but only the latter can produce strongly bound states. Here we explore the uncertainties of the K - nucleus optical potentials, obtained from fits to kaonic atom data, using the functional derivatives of the best-fit χ2 values with respect to the potential. We find that only the deep type of potential provides information that is applicable to the K- interaction in the nuclear interior.