Mathematics – Group Theory
Scientific paper
Apr 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899...99c&link_type=abstract
SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 99-100 (2007).
Mathematics
Group Theory
1
Beta Decay, Double Beta Decay, Electron And Muon Capture, Properties Of Nuclei, Nuclear Energy Levels, Critical Point Phenomena, Shell Model, Models Based On Group Theory
Scientific paper
There has been intense recent interest in equilibrium shape / phase transitions in nuclei and the concept of critical point symmetries to describe them. The first critical point symmetry for an odd-mass nucleus has been recently proposed, namely, the E(5/4) Bose-Fermi critical point symmetry, it corresponds to coupling between an odd particle in a j = 3/2 orbit and the E(5) critical point symmetry, at the transition between the O(6) gamma-soft and the U(5) vibrator symmetries. Since 134Ba is a candidate for the E(5) critical point symmetry, we carried out a β-decay experiment on 135Ba whose last neutron can occupy a 2d3/2 orbit as a first test of E(5/4). The experimental results were compared to E(5/4) and also with the Interacting Boson-Fermion Approximation Model (IBFA) and Shell Model calculations. We see fair agreement with E(5/4) for B(E2) values but not for all energies. The IBFA shows better agreement with data than E(5/4) and the Shell model shows the best agreement.
Ai H.
Cakirli R. B.
Casten R. F.
Fetea M. S.
Gurdal G.
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