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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2008, 13(2), 101-112;

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

Celal Bayar University Demirci eğitim Fakültesi, Turkey
Bozok University Faculty of Arts and Science, 66200 Yozgat, Turkey
Erciyes University Institute of Science Kayseri, Turkey
Kırıkkale University Institute of Science, Yahşihan, Kırıkkale, Turkey
Authors to whom correspondence should be addressed.
Published: 1 August 2008
PDF [236 KB, uploaded 31 March 2016]


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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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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