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Math. Comput. Appl. 2008, 13(2), 101-112; doi:10.3390/mca13020101

Comparison of IBM-2 Calculations with X(5) Critical Point Symmetry for Low-Lying States in 144-154Nd

1
Celal Bayar University Demirci eğitim Fakültesi, Turkey
2
Bozok University Faculty of Arts and Science, 66200 Yozgat, Turkey
3
Erciyes University Institute of Science Kayseri, Turkey
4
Kırıkkale University Institute of Science, Yahşihan, Kırıkkale, Turkey
*
Authors to whom correspondence should be addressed.
Published: 1 August 2008
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Abstract

The X(5) would take place when moving continously from the pure U(5) symmetry to the SU(3) symmetry and it implies a definite relations among the level energies and among the E2 transition strengths. It was recently shown that a signature of phase transition is observed in the chain of Sm, Mo and Nd isotopes, where 152Sm,104Mo and 150Nd display the predicted features of the X(5) symmetry and mark therefore the critical point. However, more detailed studies and experiments are needed to get ideas about this signature. Without entering into detail we have firstly compared the results obtained in our previous study [15] of 144-154Nd with that of the limits in X(5) symmetry and then given a clear descripton about the validity of the Hamiltonian parameters used in the study. At the end, we have concluded that some of Nd isotopes display X(5) symmetry features.
Keywords: critical symmetry; interacting boson model; even Nd critical symmetry; interacting boson model; even Nd
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

İnan, S.; Türkan, N.; İnci, İ.; Olgun, D. Comparison of IBM-2 Calculations with X(5) Critical Point Symmetry for Low-Lying States in 144-154Nd. Math. Comput. Appl. 2008, 13, 101-112.

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