ar X iv : n uc l - th / 0 50 30 71 v 1 2 9 M ar 2 00 5 Quantum Phase Transitions in the U ( 5 ) − O ( 6 ) Large N limit

The U(5) − O(6) transitional behavior of the Interacting Boson Model in the large N limit is revisited. Some low-lying energy levels, overlaps of the ground state wavefunctions, B(E2) transition rate for the decay of the first excited energy level to the ground state, and the order parameters are calculated for different total numbers of bosons. The results show that critical behaviors of these quantities are greatly enhanced with increasing of the total number of bosons N , especially fractional occupation probability for d bosons in the ground state, the difference between the expectation value of nd in the first excited 0 + state and the ground state, and another quantity related to the isomer shift behave similarly in both the O(6)−U(5) large N and U(5)−SU(3) phase transitions.