Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprk10003b&link_type=abstract
American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As
Astronomy and Astrophysics
Astrophysics
Scientific paper
Recently, a new class of symmetries, based on solutions of differential equations, has been introduced to model phase transition and critical point behavior in nuclei. For the shape transition region between a spherical vibrator and an axial rotor the dynamical symmetry for the critical point is designated X(5) and levels are assigned quantum numbers, s, that determine their energies and transition rates. Signatures of X(5) nuclei include the energy ratios E(4_1^+)/E(2_1^+) for a given s sequence of levels, E(0_2^+)/E(2_1^+) between the s=2 and s=1 sequences, E(J)/E(2^+) as a function of J for the s=1 sequence, and intra- and inter-sequence B(E2) values. Examples that fit the X(5) description have been found for rare earth nuclei in the N=90 region. Data for the A ~80 region has been searched for evidence of the X(5) dynamical symmetry. A comparison of the available data to those in the N=90 nuclei provides tantalizing hints of nuclei with X(5) character. Confirmation will require additional data, especially B(E2) values. Since the nuclei involved are far from stability, such measurements will require accelerated beams of radioactive nuclei that will be available at the proposed RIA facility.
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