Abstract
We study transitional patterns from the vibrational, U(5), to the rotational, SU(3), limit of the interacting boson model with a schematic Hamiltonian. The transitional behavior of low-lying energy levels, isomer shifts, E2 transition rates, and some other related quantities across the entire U(5)↔SU(3) transitional region are studied in detail. The analysis shows that nuclei in the critical region are soft.
Highlights
Evidence for coexisting phases at low energy in the spherical-deformed transitional nucleus 152Sm was analyzed using U (5) ↔ SU(3) transitional theory and the results show that the two phases coexist in a very small region of parameter space around the critical point [6]
In this Letter, in order to take a close look at the U (5) ↔ SU(3) shape phase transition, we study transitional patterns of many physical quantities, such as low-lying energy levels, isomer shifts, E2 transition rates, and some related quantities across the U (5) ↔ SU(3) leg of the Casten triangle
Pan et al / Physics Letters B 576 (2003) 297–302 which has been suggested as a suitable form for describing nuclei in this region is used, where the parameter c > 0, 0 x 1 is the phase parameter, f (N) is a linear function of the total number of bosons N, Q =
Summary
In this Letter, in order to take a close look at the U (5) ↔ SU(3) shape phase transition, we study transitional patterns of many physical quantities, such as low-lying energy levels, isomer shifts, E2 transition rates, and some related quantities across the U (5) ↔ SU(3) leg of the Casten triangle. F. Pan et al / Physics Letters B 576 (2003) 297–302 which has been suggested as a suitable form for describing nuclei in this region is used, where the parameter c > 0, 0 x 1 is the phase parameter, f (N) is a linear function of the total number of bosons N , Q =
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