| 球形平均场加四极-四极和对力模型在单j壳内的量子相交叉行为(英文) |
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| 引用本文： | 李博,潘峰,丁小雪,J. P. Draayer. 球形平均场加四极-四极和对力模型在单j壳内的量子相交叉行为(英文)[J]. 原子核物理评论, 2018, 35(4): 493-498. DOI: 10.11804/NuclPhysRev.35.04.493 |
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| 作者姓名： | 李博 潘峰 丁小雪 J. P. Draayer |
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| 作者单位： | 1.鞍山师范学院物理科学与技术学院, 辽宁 鞍山 114007; |
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| 基金项目： | 国家自然科学基金资助项目（11675071，11747318）；美国国家科学基金项目（OIA-1738287，ACI-1713690）；美国能源部项目（DE-SC0005248）；美国东南部大学研究协会；中美奇特核理论研究所（CUSTIPEN）（DE-SC0009971）；LSU-LNNU协作基金；鞍山师范学院科研启动基金资助项目（2018b03） |
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| 摘 要： | 介绍了单j壳的球形平均场加几何四极-四极和标准对力模型的量子相交叉行为。在单j=15/2的壳内，计算了随模型控制参数变化的多个物理量如低激发能级、激发态间重叠积分、低激发态间的B（E2）比值和电四极矩比值。结果显示，在类转动到对激发相的演化中，多个物理量在交叉区存在非常明显的变化，如B（E2；41 → 21）/B（E2；21 → 0g），B（E2；42 → 21）/B（E2；21 → 0g）等，并且这些变化在核子数达到半满壳时尤为显著。此外，尽管当j较小时，由几何四极-四极相互作用得到的低激发能级不满足转动谱规律，但当j值足够大时，这些低激发能级满足转动谱规律。The analysis of the quantum phase crossover behavior in the spherical shell model mean-field plus the geometric quadrupole-quadrupole (Q·Q) and standard pairing model within a single-j shell is reported. Several quantities, such as low-lying excitation energies, the overlaps of excited states, ratios of some B(E2) and electric quadrupole moments of some low-lying states as functions of the control parameter of the model in a j=15/2 shell are calculated. The results show that there are noticeable changes in the crossover region of the rotational-like to the pair-excitation phase transition, such as B(E2;41 → 21)/B(E2;21 → 0g) and B(E2;42 → 21)/B(E2;21 → 0g), especially in the half-filling case. Though the low-lying excitation energies generated from the geometric quadrupole-quadrupole interaction not satisfy the pattern of a rotational spectrum when j is small, these energies follow the pattern of a rotational spectrum when j is sufficiently large.
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| 关 键 词： | 壳模型 四极-四极相互作用 单j壳 |
| 收稿时间： | 2018-09-11 |
Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell |
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| LI Bo,PAN Feng,DING Xiaoxue,J. P. Draayer. Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell[J]. Nuclear Physics Review, 2018, 35(4): 493-498. DOI: 10.11804/NuclPhysRev.35.04.493 |
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| Authors: | LI Bo PAN Feng DING Xiaoxue J. P. Draayer |
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| Affiliation: | 1.Department of Physics, Anshan Normal University, Anshan 114007, China;2.Department of Physics, Liaoning Normal University, Dalian 116029, China;3.Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA |
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| Abstract: | The analysis of the quantum phase crossover behavior in the spherical shell model mean-field plus the geometric quadrupole-quadrupole (Q·Q) and standard pairing model within a single-j shell is reported. Several quantities, such as low-lying excitation energies, the overlaps of excited states, ratios of some B(E2) and electric quadrupole moments of some low-lying states as functions of the control parameter of the model in a j=15/2 shell are calculated. The results show that there are noticeable changes in the crossover region of the rotational-like to the pair-excitation phase transition, such as B(E2;41 → 21)/B(E2;21 → 0g) and B(E2;42 → 21)/B(E2;21 → 0g), especially in the half-filling case. Though the low-lying excitation energies generated from the geometric quadrupole-quadrupole interaction not satisfy the pattern of a rotational spectrum when j is small, these energies follow the pattern of a rotational spectrum when j is sufficiently large. |
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| Keywords: | shell model quadrupole-quadrupole interaction single-j shell |
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