Quantum Phase Transitions in the U(5)-O(6) Large N limit

Details Quantum Phase Transitions in the U(5)-O(6) Large N limit Quantum Phase Transitions in the U(5)-O(6) Large N limit

2005-03-29

arxiv.org/abs/nucl-th/0503071v1

Phys.Lett. A341 (2005) 291-296; J.Phys. G31 (2005) 1039-1044

Physics

Nuclear Physics

Nuclear Theory

7 Pages LaTeX, 3 figures

Scientific paper

10.1016/j.physleta.2005.04.086

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 n_d 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.

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