γ -rigid solution of the Bohr Hamiltonian for the critical point description  of the spherical to γ -rigidly deformed  shape phase transition

Yu Zhang; Feng Pan; Yu-Xin Liu; Yan-An Luo; J. P. Draayer

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γ -rigid solution of the Bohr Hamiltonian for the critical point description of the spherical to γ -rigidly deformed shape phase transition

机译：γ-RigID解决BoHR Hamiltonian的临界点描述γ-γ-γ-致变形形状相变

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The γ -rigid solution of the Bohr Hamiltonian with the β-soft potential and 0° ≤ γ ≤ 30° is worked out. The resulting model, called T(4), provides a natural dynamical connection between the X(4) and the Z(4) critical-point symmetries, which thus serves as the critical-point symmetry of the spherical to γ - rigidly deformed shape phase transition. This point is further justified through comparing the model dynamics with those of the interacting boson model. As a preliminary test, the low-lying structures of ~(158)Er are taken to compare the theoretical calculations, and the results indicate that this nucleus could be considered as the candidate of the T(4) model with an intermediate γ deformation.

机译：β-软电位和0°≤γ≤30°的BoHR Hamiltonian的γ-RigID溶液。称为T（4）的所得到的模型在X（4）和Z（4）临界点对称之间提供了自然动态连接，从而用作γ-刚性变形形状的球形的临界点对称性相转变。通过将模型动态与交互玻色子模型的那些进行比较，通过比较模型动态来进一步证明这一点。作为初步测试，采用〜（158）er的低位结构进行比较理论计算，结果表明，该核可以被认为是具有中间γ变形的T（4）模型的候选。

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来源
《Physical Review C》 |2017年第2017期|034323.1-034323.9|共9页
作者
Yu Zhang; Feng Pan; Yu-Xin Liu; Yan-An Luo; J. P. Draayer;
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Department of Physics Liaoning Normal University Dalian 116029 People’ s Republic of China;

Department of Physics Liaoning Normal University Dalian 116029 People’ s Republic of China Department of Physics and Astronomy Louisiana State University Baton Rouge Louisiana 70803-4001 USA;

Department of Physics and State Key Laboratory of Nuclear Physics and Technology Peking University Beijing 100871 People’s Republic of China Collaborative Innovation Center of Quantum Matter Beijing 100871 China Center for High Energy Physics Peking University Beijing 100871 China;

School of Physics Nankai University Tianjin 300071 People’s Republic of China;

Department of Physics and Astronomy Louisiana State University Baton Rouge Louisiana 70803-4001 USA;

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1. gamma-rigid solution of the Bohr Hamiltonian for the critical point description of the spherical to gamma-rigidly deformed shape phase transition [J] . Zhang Yu, Pan Feng, Liu Yu-Xin, Physical review, C . 2017,第3期

机译：BOHR HAMILTONIAN的GAMMA-刚性解决方案对于球形到伽马僵硬变形形状变形变形变形变形变形的临界点描述
2. γ -rigid solution of the Bohr Hamiltonian for the critical point description of the spherical to γ -rigidly deformed shape phase transition [J] . Yu Zhang, Feng Pan, Yu-Xin Liu, Physical review, C . 2017,第3期

机译：γ-RigID求解BOHR HAMILTONIAN的临界点描述球形对γ-γ-致变形形状相变
3. Conjunction of gamma-rigid and gamma-stable collective motions in the critical point of the phase transition from spherical to deformed nuclear shapes [J] . Budaca R., Budaca A. I. Journal of Physics, G. Nuclear and Particle Physics: An Institute of Physics Journal . 2015,第8期

机译：在从球形到变形核形状的相变临界点，伽玛刚性和伽玛稳定集体运动的结合
4. Z(4): γ-rigid Solution of the Bohr Hamiltonian for γ = 30° Compared to the E(5) Critical Point Symmetry [C] . D. Bonatsos, D. Lenis, D. Petrellis, International Conference on Frontiers in Nuclear Structure, Astrophysics and Reactions . 2006

机译：Z（4）：与E（5）临界点对称相比，BoHR Hamiltonian的BoHR Hamiltonian的γ-刚性溶液= 30°
5. Development of a unified probabilistic framework for segmentation and recognition of semi-rigid objects in complex backgrounds via deformable shape models. [D] . Gleason, Shaun Scott. 2001

机译：开发统一的概率框架，通过可变形的形状模型对复杂背景中的半刚性对象进行分割和识别。
6. Rigid Shape Registration Based on Extended Hamiltonian Learning [O] . Jin Yi, Shiqiang Zhang, Yueqi Cao, 2020

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7. γ-rigid solution of the Bohr Hamiltonian for γ=30° compared to the E(5) critical point symmetry [O] . Bonatsos Dennis, Lenis D., Petrellis D., 2005

机译：与E（5）临界点对称性相比，玻尔哈密顿量对于γ= 30°的γ刚性解
8. Structure Formation in Solutions of Rigid Polymers Undergoing a Phase Transition [R] . Cohen, Y. 1987

机译：相变过程中刚性聚合物溶液的结构形成

γ -rigid solution of the Bohr Hamiltonian for the critical point description of the spherical to γ -rigidly deformed shape phase transition

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