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 · Wed Aug 15 00:00:00 EDT 2007 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778807080236· OSTI ID:21075738

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

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1. Yale University, Wright Nuclear Structure Laboratory (United States), E-mail: [e-mail]
2. NCSR 'Demokritos', Institute of Nuclear Physics (Greece), E-mail: [e-mail]
3. National Institute of Physics and Nuclear Engineering (Romania), E-mail: [e-mail]

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 phase/shape transition region of the IBA for boson numbers of physical interest (close to 10). {sup 186}Pt and {sup 172}Os are identified as good examples of X(3), while {sup 146}Ce, {sup 174}Os, and {sup 158}Er, {sup 176}Os are identified as good examples of X(5)-{beta}{sub 2} and X(5)-{beta}{sup 4} behavior, respectively.

• OSTI ID: 21075738
• Journal Information: Physics of Atomic Nuclei, Vol. 70, Issue 8; Other Information: DOI: 10.1134/S1063778807080236; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BOSONS
CERIUM 146
COLLECTIVE MODEL
ERBIUM 158
FASTENING
INTERACTING BOSON MODEL
OSMIUM 172
OSMIUM 174
OSMIUM 176
PHASE TRANSFORMATIONS
PLATINUM 186
SYMMETRY