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)

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

基于壳模型对力加四极力研究sd和pf壳偶偶原子核

本文在原子核壳模型框架下基于唯象相互作用(对力加四极力)研究sd壳和pf壳的偶偶核低激发集体态。在提取了USDB和GXPF1相互作用的单粒子能量和单极相互作用的基础上,我们用一套统一参数计算重现了球形核和形变核的低激发谱;将对相互作用中的单极成分扣除后可以得到较好的结合能计算结果。同位旋标量的对相互作用对计算结果影响不大。单极相互作用在经验质子—中子相互作用、原子核对称能和Wigner能中产生重要贡献。     

SD对壳模型下原子核形状相变（英文）

在SD 对壳模型的理论框架下讨论了原子核形状相变模式。研究结果表明,该理论模型可以把相互作用玻色子模型中U（5）-SU（3）以及U（5）-SO（6） 形状相变模式再现出来,相互作用玻色子模型中有关临界点对称性的特征也可以很好地描述。本文同时也发现原子核从振动到转动的形状相变可以通过改变相互作用强度来实现。The nuclear shape phase transitional patterns were studied in the SD-pair shell model. The results show that the transitional patterns similar to the U(5)-SU(3) and U(5)-SO(6) transitions in the interacting boson model can be produced. The signatures of the critical point symmetry in the interacting boson model are also produced approximately. It is also found that the shape phase transitional pattern between vibration and rotation can also be produced by changing the interactional strength.     

SD配对壳模型对质量数A~130区原子核的形状渡越研究(英文)

利用SD配对壳模型研究了质量数A~130区原子核的低激发态性质。为了减少参数,模型采用了等强度对力,取质子和中子对力强度等同近似,而非同类核子间的四极-四极相互作用强度取为同类核子间四极-四极相互作用强度的两倍。计算结果显示,模型的振动-转动和振动-γ不稳定运动的形状渡越特征与相互作用玻色子模型对应的形状相变特征基本吻合,从而说明SD配对壳模型是壳模型的一种合理近似。The SD-pair shell model is applied to analyze the evolution of low-lying states of even-even nuclei in A~130 mass region. In the model, the pairing and the quadrupole-quadrupole interactions are taken into account. The results show that there are clear signatures of the crossover from vibrational to rotational or from vibrational to the γ-soft shape phase.     

Y2Ba4CuMoOy的添加和Mo替代Cu位对YBa2Cu3O7-δ超导体性能的影响（英文）

本文用固相反应法制备了YBa2(Cu1-xMox)3O7-δ+x mol Y2Ba4CuMoOy(x=0.00～0.08)的一系列多晶样品.利用X射线衍射法、标准四端引线法分别对样品的物相进行了表征和超导转变温度进行了系统的测量,发现随着掺杂量的增加,样品的晶体结构有从正交相向四方相转变的趋势,超导转变温度呈金属状态到半导体状态转变的趋势,并伴有两步转变过程;同时也观察到了超导转变温度降低且转变宽度增加的现象.然而,导致低Tc和宽T的可能原因是逐渐出现的非超导相Mo2411和样品的微观结构不均匀性.通过进一步的比较观察得到,样品超导转变温度出现两步转变最可能的原因不仅与非超导相Mo2411的增加有关而且与低Tc相的形成有关.     

Proton Orbital [541]1/2 and Backbending in 178W

The microscopic mechanism of nine experimentally observed bands in ^178W is investigated using the particle-number conserving method of the cranked shell model with monopole and quadrupole paring interactions. The experimental results, including the moments of inertia and angular momentum alignments of nine bands in ^178W, are reproduced well by the particle-number conserving calculations, in which no free parameter is involved. Calculations demonstrate that occurrence of sharp backbending comes mainly from the contribution of high-j intruder orbitals vi13/2 or πh11/2 and their interference effect with orbitals near the Fermi surface. Theω variation of the occupation probability of each cranked orbital and the contribution to moment of inertia from each cranked orbital are analyzed.     

Proton Orbital [541]1/2 and Backbending in 178W

The microscopic mechanism of nine experimentally observed bands in ¹⁷⁸W is investigated using the particle-number conserving method of the cranked shell model with monopole and quadrupole paring interactions. The experimental results, including the moments of inertia and angular momentum alignments of nine bands in ¹⁷⁸W, are reproduced well by the particle-number conserving calculations, in which no free parameter is involved. Calculations demonstrate that occurrence of sharp backbending comes mainly from the contribution of high-j intruder orbitals νi13/2 or πh11/2 and their interference effect with orbitals near the Fermi surface. The ω variation of the occupation probability of each cranked orbital and the contribution to moment of inertia from each cranked orbital are analyzed.     

Solution to the eigenstates of pairing Hamiltonian in finite nuclei

We apply the algebraic Bethe technique to the nuclear pairing problem with certain limits. We obtain the exact energies and eigenstates, and find the symmetry between the states corresponding to less and more than half full shell. We also proved that the problem of solving BAE can be transformed into the problem of finding the roots of a hypergeometric polynomial, which is much simpler.     

描述大形变核中对力的硬核Bose-Hubbard模型

讨论了一种描述大形变偶偶核邻近轨道对力相互作用近似的硬核Ｂｏｓｅ－Ｈｕｂｂａｒｄ模型．利用代数方法得到了该模型对激发谱和相应波函数的严格解．该结果可推广到具有任意自旋和有限格点的硬核Ｂｏｓｅ－Ｈｕｂｂａｒｄ和Ｆｅｒｍｉ－Ｈｕｂ－ｂａｒｄ模型中去．     

Two-nucleon Excitation from p to sd Shell in 12,14C

The effect of the two-nucleon excitation from p to sd shell is discussed on 12C and 14C in the frame work of the nuclear shell model. The recently suggested shell-model Hamiltonian YSOX provides an suitable tool to investigate the 2 ~! excitation in psd region. Because the strength of the < pp|V |sdsd > interaction, which represents the interaction between the 0 and 2 ~! configurations, is considered in the construction of the Hamiltonian YSOX. The level of 12C is almost independent on the interaction, but excitation energies of certain states in 14C are strongly affected by it. Further investigation shows that the percentage of 2 ~! configuration in these states is quite different from that of the ground state. The non-linear effects of the < pp|V |sdsd > interaction on the configurations and transition rates are also discussed.     

平均场加邻近轨道相互作用对力模型在大形变核中的应用

利用严格可解的平均场加邻近轨道相互作用对力模型来描述大形变核.将该模型应用于稀土区和超铀区的核素.计算了^158—171Er,^160—178Yb,^170—183Hf,^226—234Th, ^230—240U,及^236—243Pu同位素的结合能和对激发能,并与实验结果进行了比较