Connecting the X(5)-{beta}{sup 2}, X(5)-{beta}{sup 4}, and X(3) models to the shape/phase-transition region of the interacting boson model

Journal Article · Fri Sep 15 00:00:00 EDT 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.034306· OSTI ID:20863778

McCutchan, E A ^[1]; Bonatsos, Dennis ^[2]; Zamfir, N V ^[3]

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1. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06520-8124 (United States)
2. Institute of Nuclear Physics, National Center for Scientific Research 'Demokritos', GR-15310 Aghia Paraskevi, Attiki (Greece)
3. National Institute of Physics and Nuclear Engineering, Bucharest-Magurele (Romania)

The parameter independent (up to overall scale factors) predictions of the X(5)-{beta}{sup 2}, X(5)-{beta}{sup 4}, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two-parameter calculations in the framework of the interacting boson approximation (IBA) model. The results show that these geometric models coincide with IBA parameters consistent with the shape/phase-transition region of the IBA for boson numbers of physical interest (close to 10). Nuclei within the rare-earth region and select Os and Pt isotopes are identified as good examples of X(3), X(5)-{beta}{sup 2}, and X(5)-{beta}{sup 4} behavior.

• OSTI ID: 20863778
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 74, Issue 3; Other Information: DOI: 10.1103/PhysRevC.74.034306; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BOSONS
COLLECTIVE MODEL
INTERACTING BOSON MODEL
INTERMEDIATE MASS NUCLEI
OSMIUM ISOTOPES
PHASE TRANSFORMATIONS
PLATINUM ISOTOPES
SYMMETRY