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）  

Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell

作　　者：李博 潘峰[2,3] 丁小雪 J.P.Draayer LI Bo;PAN Feng;DING Xiaoxue;J.P.Draayer(Department of Physics,Anshan Normal University,Anshan 114007,China;Department of Physics,Liaoning Normal University,Dalian 116029,China;Department of Physics and Astronomy,Louisiana State University,Baton Rouge,Louisiana 70803-4001,USA)

机构地区：[1]鞍山师范学院物理科学与技术学院,辽宁鞍山114007 [2]辽宁师范大学物理与电子技术学院,辽宁大连116029 [3]美国路易斯安娜州立大学物理与天文系,巴吞鲁日708034001

出　　处：《原子核物理评论》2018年第4期493-498,共6页Nuclear Physics Review

基　　金：National Natural Science Foundation of China(11675071,11747318);U.S.National Science Foundation(OIA-1738287 and ACI-1713690);U.S.Department of Energy(DE-SC0005248);Southeastern Universities Research Association;China-U.S.Theory Institute for Physics with Exotic Nuclei(CUSTIPEN)(DE-SC0009971);LSU–LNNU joint research;Research Start-up Fund of Anshan Normal University(2018b03)~~

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 → 0 g) and B(E2;42 → 21)/B(E2;21 → 0 g), 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.

关 键 词：壳模型 四极-四极相互作用 单j壳 

分 类 号：O571.6[理学—粒子物理与原子核物理]