We show that nuclear states lying at the edge of stability may show
enormously enhanced response to small perturbations. For example, a 0.1% change
in the strength of the strong nucleon-nucleon interaction can cause almost a
hundred times bigger change in the resonance energy of the 0+_2 state of 12C.
Comment: 3 pages with 3 figures. The postscript file and more information are
available at http://matrix.elte.hu/~csoto
Subjects: Nuclear Theory; Astrophysics; High Energy Physics - Phenomenology; Quantum Physics