Analytically solvable prolate-oblate shape phase transitional description within the SU(3) limit of the interacting boson model

Yu Zhang1 Feng Pan12 Yu-Xin Liu34 Yan-An Luo5 and J. P. Draayer2

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Analytically solvable prolate-oblate shape phase transitional description within the SU(3) limit of the interacting boson model

机译：相互作用玻色子模型的SU（3）极限内的可解析长圆形-扁圆形形状相变描述

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A novel analytically solvable prolate-oblate shape phase transitional description for the SU(3) limit of the interacting boson model is investigated for finite-N as well as in the large-N classical limit. It is shown that the ground state shape phase transition is of first order due to level crossing. Through a comparison of the theoretical predictions with available experimental data for even-even 180Hf, 182−186W, 188−190Os, and 192−198Pt, it is shown that this simple novel description is suitable for a description of the prolate-oblate shape phase transition in these nuclei.

机译：针对有限N以及大N经典极限，研究了相互作用玻色子模型SU（3）极限的新颖可解析扁长扁形形状相变描述。结果表明，由于能级交叉，基态形状的相变是一阶的。通过对偶数180Hf，182-186W，188-190Os和192-198Pt的理论预测值与可用的实验数据进行比较，结果表明，这种简单的新颖描述适用于扁长扁形形状相的描述。这些原子核的过渡。

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《Physical Review C: Nuclear Physics》 |2012年第6期|1-12|共12页
作者
Yu Zhang1 Feng Pan12 Yu-Xin Liu34 Yan-An Luo5 and J. P. Draayer2;
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1Department of Physics Liaoning Normal University Dalian 116029 China2Department of Physics and Astronomy Louisiana State University Baton Rouge Louisiana 70803-4001 USA3Department of Physics and the State Key Laboratory of Nuclear Physics and Technology Peking University Beijing 100871 China4Center of Theoretical Nuclear Physics National Laboratory of Heavy Ion Accelerator Lanzhou 730000 China5School of Physics Nankai University Tianjin 300071 China;

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1. An Alternative Description of the Prolate-Oblate Shape Phase Transition in the Interacting Boson Model [J] . ZHANG Zhuo, ZHANG Yu, AN Yang, 中国物理快报：英文版 . 2013,第010期

机译：相互作用玻色子模型中长圆弧形相变的另一种描述
2. Analytic predictions for nuclear shapes, prolate dominance, and the prolate-oblate shape transition in the proxy-SU(3) model [J] . Dennis Bonatsos, I. E. Assimakis, N. Minkov, Physical Review C . 2017,第期

机译：核形状，脯类优势和Proxy-Su（3）模型中的改变 - 扁平形状过渡的分析预测
3. Analytic predictions for nuclear shapes, prolate dominance, and the prolate-oblate shape transition in the proxy-SU(3) model [J] . Bonatsos Dennis, Assimakis I. E., Minkov N., Physical review, C . 2017,第6期

机译：核形状，扩展优势和Proxy-SU（3）模型中的骨型偏移的分析预测
4. Connecting critical point symmetries to the shape/phase transition region of the Interacting Boson Model [C] . E. A. McCUTCHAN, DENNIS BONATSOS, N. V. ZAMFIR, International Summer School octive Motion and Phase Transitions in Nuclear Physics . 2007

机译：将临界点对称连接到交互玻色子模型的形状/相位过渡区域
5. Limit shape and fluctuations for exactly solvable inhomogeneous corner growth models. [D] . Emrah, Elnur. 2016

机译：限制形状和波动，以解决可完全解决的不均匀边角增长模型。
6. Solvable Model of a Generic Driven Mixture of Trapped Bose–Einstein Condensates and Properties of a Many-Boson Floquet State at the Limit of an Infinite Number of Particles [O] . Ofir E. Alon 2020

机译：在无限数量的颗粒的极限下捕获的Bose-Einstein凝聚混合物的可溶性模型和多种玻色子浮子状态的性质
7. Analytically solvable prolate-oblate shape phase transitional description within the SU(3) limit of the interacting boson model [O] . Yu Zhang, Feng Pan, Yu-Xin Liu, 2012

机译：分析可溶性的改变型阶段过渡描述在苏（3）限制内的互动玻色子模型

Analytically solvable prolate-oblate shape phase transitional description within the SU(3) limit of the interacting boson model

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