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SYSTEMATIC ANALYSIS OF CRITICAL POINT NUCLEI IN THE RARE-EARTH REGION WITH RELATIVISTIC MEAN FIELD THEORY

ZONG-QIANG SHENG

School of Physics and Material Science, Anhui University, Hefei 230039, P. R. China

Department of Mathematics and Physics, Anhui University of Science and Technology, Huainan 232001, P. R. China

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and

JIAN-YOU GUO

School of Physics and Material Science, Anhui University, Hefei 230039, P. R. China

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https://doi.org/10.1142/S0217732305017883Cited by:27 (Source: Crossref)

Abstract

The shape phase transition between spherical U(5) and axially deformed SU(3) nuclei is investigated systemically for the rare-earth region nuclei by the constrained relativistic mean field theory with the interactions NL3. The properties of ground state for Nd, Gd and Dy isotopes are described fairly well as compared with experiments. By examining the potential energy curve and quadruple deformation β₂ obtained with this microscopic approach, the possible critical point nuclei are suggested to be ^148,150Nd for Nd isotopes, but ¹⁴⁸Nd is the best candidate, and ¹⁵⁰Nd is slightly to the rotor side of the phase transition. For Gd and Dy isotopes, ^150,152Gd and ^152,154Dy are suggested to be the critical point nuclei. Similar conclusions are also drawn from the microscopic neutron single particle spectra.

Keywords:

PACS: 21.60.Jz, 27.60.+j, 27.70.+q

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