# An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry

## Abstract

A {gamma}-rigid version (with {gamma}=0) of the X(5) critical point symmetry is constructed. The model, to be called X(3) since it is proved to cointain three degrees of freedom, utilizes an infinite well potential, is based on exact separation of variables, and leads to parameter free (up to overall scale factors) predictions for spectra and B(E2) transition rates, which are in good agreement with existing experimental data for Os and Pt. An unexpected similarity of the {beta}1 bands of the X(5) nuclei 150Nd, 152Sm, 154Gd, and 156Dy to the X(3) predictions is observed.

- Authors:

- Institute of Nuclear Physics, National Center for Scientific Research 'Demokritos', GR-15310 Aghia Paraskevi, Attiki (Greece)
- Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, BG-1784 Sofia (Bulgaria)
- Hasan Ali Yucel Faculty of Education, Istanbul University, TR-34470 Beyazit, Istanbul (Turkey)

- Publication Date:

- OSTI Identifier:
- 21057101

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 899; Journal Issue: 1; Conference: 6. international conference of the Balkan Physical Union, Istanbul (Turkey), 22-26 Aug 2006; Other Information: DOI: 10.1063/1.2733067; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DYSPROSIUM 156; E2-TRANSITIONS; GADOLINIUM 154; NEODYMIUM 150; NUCLEAR MODELS; NUCLEAR POTENTIAL; NUCLEAR STRUCTURE; SAMARIUM 152; SYMMETRY

### Citation Formats

```
Bonatsos, D., Lenis, D., Petrellis, D., Terziev, P. A., and Yigitoglu, I.
```*An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry*. United States: N. p., 2007.
Web. doi:10.1063/1.2733067.

```
Bonatsos, D., Lenis, D., Petrellis, D., Terziev, P. A., & Yigitoglu, I.
```*An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry*. United States. doi:10.1063/1.2733067.

```
Bonatsos, D., Lenis, D., Petrellis, D., Terziev, P. A., and Yigitoglu, I. Mon .
"An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry". United States.
doi:10.1063/1.2733067.
```

```
@article{osti_21057101,
```

title = {An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry},

author = {Bonatsos, D. and Lenis, D. and Petrellis, D. and Terziev, P. A. and Yigitoglu, I.},

abstractNote = {A {gamma}-rigid version (with {gamma}=0) of the X(5) critical point symmetry is constructed. The model, to be called X(3) since it is proved to cointain three degrees of freedom, utilizes an infinite well potential, is based on exact separation of variables, and leads to parameter free (up to overall scale factors) predictions for spectra and B(E2) transition rates, which are in good agreement with existing experimental data for Os and Pt. An unexpected similarity of the {beta}1 bands of the X(5) nuclei 150Nd, 152Sm, 154Gd, and 156Dy to the X(3) predictions is observed.},

doi = {10.1063/1.2733067},

journal = {AIP Conference Proceedings},

number = 1,

volume = 899,

place = {United States},

year = {Mon Apr 23 00:00:00 EDT 2007},

month = {Mon Apr 23 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2733067

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