推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

A. Jalili Majarshin; H. Sabri; 潘峰

doi:10.11804/NuclPhysRev.35.04.482

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推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

A. Jalili Majarshin, H. Sabri, 潘峰

文章导航 > 原子核物理评论 > 2018 > 35(4): 482-486

A. Jalili Majarshin, H. Sabri, 潘峰. 推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)[J]. 原子核物理评论, 2018, 35(4): 482-486. doi: 10.11804/NuclPhysRev.35.04.482

引用本文:

A. Jalili Majarshin, H. Sabri, PAN Feng. Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure[J]. Nuclear Physics Review, 2018, 35(4): 482-486. doi: 10.11804/NuclPhysRev.35.04.482

Citation:

A. Jalili Majarshin, H. Sabri, PAN Feng. Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure[J]. Nuclear Physics Review, 2018, 35(4): 482-486. doi: 10.11804/NuclPhysRev.35.04.482

推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

doi: 10.11804/NuclPhysRev.35.04.482

1.
辽宁师范大学物理系, 辽宁大连 116029;
2.
伊朗大不里士大学物理系, 大不里士 51664;
3.
美国路易斯安娜州立大学物理与天文系, 巴吞鲁日 70803-4001

基金项目: 国家自然科学基金资助项目（11675071，11747318）；中美奇特核理论研究所（CUSTIPEN）（DE-SC0009971）；LSU-LNNU协作基金资助。

详细信息

中图分类号: O571.6

Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

1.
Department of Physics, Liaoning Normal University, Dalian 116029, Liaoning, China;
2.
Department of Physics, University of Tabriz, Tabriz 51664, Iran;
3.
Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA

Funds: National Natural Science Foundation of China (11675071, 11747318); China-U. S. Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) (DE-SC0009971); LSU-LNNU Joint Research

摘要: 本工作将相互作用玻色子模型推广为包含f-和p-玻色子的情形。利用仿射型代数方法，通过对偶代数结构数值计算了多分量玻色型对力问题。利用对偶关系解析构建了与哈密顿量及其基底相联系的，由幺正的粒子数守恒和非粒子数守恒算符构成的准旋代数。在经该模型对^106-116Cd偶偶核素实验能谱拟合的基础上，计算了基态和低激发态中各种玻色子占有率，准γ带中相邻能级摇摆等几个能特征该区域核素形状相变的序参量。从而展示了这些中重质量核从振动到γ-不稳定运动的形状相变行为。

An extension of the original interacting boson model to the multi-level case including negative parity f-and p-bosons is made. An affinealgebraic approach is applied to solve the multi-level pairing problem numerically via the dual algebraic structure. The duality relation is explicitly used to construct the number-conserving unitary and number-nonconserving quasi-spin algebra, related with the Hamiltonian and the corresponding bases. After fitting to the experimental level energies of even-even ^106-116Cd, several order parameters to signify the shape (phase) transition, such as occupation numbers of the bosons in the ground and a few lowest excited states, the level energy staggering in the (quasi)-γ band, are calculated to demonstrate the shape (phase) transitional behavior of these medium mass transitional nuclei.
- 负宇称态 /
- 仿射型代数 /
- 对偶代数结构 /
- 相变特征量
Abstract: An extension of the original interacting boson model to the multi-level case including negative parity f-and p-bosons is made. An affinealgebraic approach is applied to solve the multi-level pairing problem numerically via the dual algebraic structure. The duality relation is explicitly used to construct the number-conserving unitary and number-nonconserving quasi-spin algebra, related with the Hamiltonian and the corresponding bases. After fitting to the experimental level energies of even-even ^106-116Cd, several order parameters to signify the shape (phase) transition, such as occupation numbers of the bosons in the ground and a few lowest excited states, the level energy staggering in the (quasi)-γ band, are calculated to demonstrate the shape (phase) transitional behavior of these medium mass transitional nuclei.
- negative parity states /
- affinealgebra /
- dual algebraic structure /
- signature of the phase transition

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推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

doi: 10.11804/NuclPhysRev.35.04.482

1. 辽宁师范大学物理系, 辽宁大连 116029;

2. 伊朗大不里士大学物理系, 大不里士 51664;

3. 美国路易斯安娜州立大学物理与天文系, 巴吞鲁日 70803-4001

基金项目: 国家自然科学基金资助项目（11675071，11747318）；中美奇特核理论研究所（CUSTIPEN）（DE-SC0009971）；LSU-LNNU协作基金资助。

收稿日期: 2018-09-23
修回日期: 2018-11-02
刊出日期: 2020-05-03

中图分类号: O571.6

关键词:

摘要: 本工作将相互作用玻色子模型推广为包含f-和p-玻色子的情形。利用仿射型代数方法，通过对偶代数结构数值计算了多分量玻色型对力问题。利用对偶关系解析构建了与哈密顿量及其基底相联系的，由幺正的粒子数守恒和非粒子数守恒算符构成的准旋代数。在经该模型对^106-116Cd偶偶核素实验能谱拟合的基础上，计算了基态和低激发态中各种玻色子占有率，准γ带中相邻能级摇摆等几个能特征该区域核素形状相变的序参量。从而展示了这些中重质量核从振动到γ-不稳定运动的形状相变行为。

An extension of the original interacting boson model to the multi-level case including negative parity f-and p-bosons is made. An affinealgebraic approach is applied to solve the multi-level pairing problem numerically via the dual algebraic structure. The duality relation is explicitly used to construct the number-conserving unitary and number-nonconserving quasi-spin algebra, related with the Hamiltonian and the corresponding bases. After fitting to the experimental level energies of even-even ^106-116Cd, several order parameters to signify the shape (phase) transition, such as occupation numbers of the bosons in the ground and a few lowest excited states, the level energy staggering in the (quasi)-γ band, are calculated to demonstrate the shape (phase) transitional behavior of these medium mass transitional nuclei.

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推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

doi: 10.11804/NuclPhysRev.35.04.482

Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

计量

推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

doi: 10.11804/NuclPhysRev.35.04.482

1. 辽宁师范大学物理系, 辽宁大连 116029;

2. 伊朗大不里士大学物理系, 大不里士 51664;

3. 美国路易斯安娜州立大学物理与天文系, 巴吞鲁日 70803-4001

English Abstract

Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

1. Department of Physics, Liaoning Normal University, Dalian 116029, Liaoning, China;

2. Department of Physics, University of Tabriz, Tabriz 51664, Iran;

3. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA

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推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

doi: 10.11804/NuclPhysRev.35.04.482

Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

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推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)

doi: 10.11804/NuclPhysRev.35.04.482

1. 辽宁师范大学物理系, 辽宁 大连 116029; 2. 伊朗大不里士大学物理系, 大不里士 51664; 3. 美国路易斯安娜州立大学物理与天文系, 巴吞鲁日 70803-4001

English Abstract

Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

1. Department of Physics, Liaoning Normal University, Dalian 116029, Liaoning, China; 2. Department of Physics, University of Tabriz, Tabriz 51664, Iran; 3. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA

全文HTML

目录

1. 辽宁师范大学物理系, 辽宁大连 116029;

2. 伊朗大不里士大学物理系, 大不里士 51664;

3. 美国路易斯安娜州立大学物理与天文系, 巴吞鲁日 70803-4001

1. Department of Physics, Liaoning Normal University, Dalian 116029, Liaoning, China;

2. Department of Physics, University of Tabriz, Tabriz 51664, Iran;

3. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA