Singular Character of Critical Points in Nuclear Transitional Regions

The concept of critical points in nuclear phase transitional regions is discussed from the standpoints of Q-invariants and wave function entropy. It is shown that these critical points very closely coincide with the turning points of the entropy and Q-invariants, establishing the singular character of these points in nuclear phase transition regions. Such critical points provide two well defined nuclear structure paradigms – for the vibrator ↔ rotor and vibrator↔ γ-soft rotor critical points – in addition to the three traditional ones representing the termini of these transition regions.