Synchrotron X-ray diffraction study of phenacite at high pressure

We report the results of a natural phenacite from 0 to 30.9 GPa using in situ angle-dispersive X-ray diffraction and a diamond anvil cell at the National Synchrotron Light Source, Brookhaven National Laboratory. Over this pressure range, no phase change or disproportionation has been observed. The isothermal equation of state was determined. The values of V₀, K₀, and K₀′ refined with a third-order Birch-Murnaghan equation of state are V₀=1116.1±1.2 ų, K₀=223±9 GPa, and K₀′=5.5±0.8. Furthermore, we confirm that the linear compressibilities (β) along a and c directions of phenacite are elastically isotropic (β_a=1.50×10^-3 and β_c=1.34×10^-3 GPa^-1). Consequently, it can be concluded that the compressibility of phenacite under high pressures has been accurately constrained.     

高压下Al的零温电子结构和物态方程

 用LMTO法（线性Muffin-Tin轨道法），计算了金属铝的超高压电子结构及零温物态方程。Al的压缩比到10，压力达10 TPa。根据第一原理计算结果，在带结构方面，s带总是处于Fermi能以下，随着压力的增加，s、p和d的带宽增加，随后则杂化程度增加，所以s、d轨道的电子占据数连续变化。上述变化对压力的影响也是连续的，换言之，从s→d转变没有理由说明Al在0.5 TPa附近冲击Hugoniot的斜率的拐弯现象。而这一点则是与Altshuler的观点不同。物态方程的第一原理计算结果表明，bcc结构比fcc结构要软，但因差别不很大，即使发生fcc→bcc的转变，也不会引起Hugoniot的质的变化（拐弯）。Al的LMTO物态方程还表明，我们以前所采用的半经验的冷压误差可达30%。为此，根据LMTO结果，给出新的冷压表达式p=∑_i=0⁵a_iδ^i/3，δ=Ω₀/Ω，其中a₀=-7.327 79，a₁=18.754 3，a₂=10.209 7，a₃=-2.523 53，a₄=-4.787 2，a₅=6.065 94，拟合误差小于3%。     

Levinson定理及其在相对论量子力学中的推广

本文先用 Green 函数方法证明非相对论量子力学中的 Levinson 定理有如下形式:n_l=1/π[δ_l（0）—δ_l（∞）]—（（—1）^l）/2 sin²δ_l（0）,然后导出了它在 Dirac 方程中的推广形式为:n_k⁺—n_k^-=1/π[δ_k（m）—δ_k（∞）+δ_k（—∞）—δ_k（—m）]—（k/（|k|））（（—1）^x/2）[sin²δ_k（m）+sin²δ_k（—m）].对于 Klein-Gordon 方程,则可以有两种形式:n_l⁺±n_l^-=1/π{δ_l（m）—δ_l（∞）±[δ_l（—m）—δ_l（—∞）]}—（（—1）^l/2）[sin²δ_l（m）±sin²δ_l（—m）].文中对此定理的含义、应用范围及有关问题作了讨论,并就方势阱的 s 态问题,检验了这些公式。     

相对论性电磁束缚系统（π±μ干）、（K±μ干）的库仑裂解与衰变

本文应用复合粒子量子场论的微扰展开式和相对论性的（π^&;#177;μ^?）、（K^&;#177;μ^?）的B.S.波函数,计算了在原子核屏蔽库仑场中高能（π^&;#177;μ^?）、（K^&;#177;μ^?）原子的裂解能谱和截面。在极端相对论近似下,对大多数原子核,它们的裂解截面分别约为10^-18cm²和10^-17cm²。利用同样的波函数,还计算了（π^&;#177;μ^?）→π⁰+v_μ（v_μ）,（K^&;#177;μ^?）→K⁰+v_μ（v_μ）,以及（π^&;#177;μ^?）→μ⁺+μ^-+v_μ（v_μ）,（K^&;#177;μ^?）→μ⁺+μ^-+v_μ（v_μ）的衰变几率。     

Measuring D0-D0 mixing in D→f0(980) K and more

We investigate the D⁰-D⁰ mixing through the doubly Cabibbo suppressed (DCS) channel D0→f₀(980)K^*0 and its charge conjugate channel, in which the K^*0 meson is reconstructed in both K⁺π^－ and K_Sπ⁰ final state. Although the decay D⁰→f₀(980)K^* has a small branching ratio, the final state mesons are relatively easy to identify. The f₀(980) meson can be replaced by the S-wave π⁺π^－ state, or a longitudinally polarized vector meson ρ⁰. All mixing parameters, including the mass difference and decay width difference, can be extracted by studying the time-dependent decay width of these channels. We show that the method is valid in all regions for mixing parameters and it does not depend on the strong phase difference.     

从KL0产生（π±μ干）原子

本文求解了自旋是0-1/2的不等质量的库伦原子的Bethe-Salpeter方程。应用所求得的近似的B-S波函数以及近年来发展的复合粒子量子场论微扰展开理论计算了由K_L⁰产生（π^士μ^干）原子的几率。     

Pure annihilation type decays B0→Ds- K2+ and Bs→Da2 in perturbative QCD approach

We calculate the branching ratios of pure annihilation type decays B⁰→D_s^- K₂^*+ and B_s→Da₂ using the perturbative QCD approach based on k_T factorization. The branching ratios are predicted to be (60.6_{-16.5-10.4-2.1}^{+17.3+4.3+3.2} )× 10^-6 for B⁰→D_s^- K₂^*+, (1.1_-0.4-0.2-0.1^+0.4+0.1+0.1)×10^-6 for B_s→D⁰a₂⁰ and (2.3_-0.8-0.4-0.1^+0.8+0.2+0.1)×10^-6 for B_s→D^-a₂⁺. They are large enough to be measured in the ongoing experiment. Due to the shortage of contributions from penguin operators, there are no direct CP asymmetries for these decays in the Standard Model. We also derive simple relations among these decay channels to reduce theoretical uncertainties for the experiments to test the accuracy of theory and search of new physics signal.     

产生超对称态的几种可能途径

在以前工作的基础上,计算了飞行 K^-奇异交换反应⁹Be（K^-,π^-）_A⁹Be 和¹³C（K^-,π^-）_A¹³C 的角分布.在平面波冲量近似下,计算了协同产生反应到达超核 _A⁹Be、_A¹³C 的奇异相似态和超对称态的微分截面的相对比,并且估算了这些微分截面绝对值.根据这些计算,讨论了通过奇异交换反应和协同产生反应产生超对称态的可能性.     

Fourth generation effects in Bs→π^-K^＋ decay

We study the effects of the fourth quark generation model in B_s → π^-K⁺ decay. Combining with the up-to-date experimental measurement for B(B_s → π^-K⁺) and A_cp^dir(B_s → π^-K⁺) by the CDF Collaboration, we derive the new bound of weak phase ø_bd, which are 0°< ø_bd <44°, 321°< ø_bd < 360° and 0°< ø_bd < 26°, 342°< ø_bd < 360° for m_t'=400 and 600 GeV respectively. In these regions, B(B_s → π^-K⁺) and A_cp^dir(B_s → π^-K⁺) consist with the current experimental data within errors.     

关于2024A1液-汽临界性质

考查了冷压Pv为A（δ~6-δ~2）形式物态方召的临界性质，提出了两种修正的Morse势冷压形式，并计算了其临界参数，认为这是一种较合理的形式．分别对电子比热系βm=0和βm≠0计算了液－汽相变平台．     

MICROSCOPIC CALCULATION OF THE INERTIA IN HEAVY NUCLEI

A realistic calculation of the inertia for ²³⁶U fisson based on the linear response theory is presented, in which the single particle states are provided by Nilsson model. The dependence of the nuclear inertia M_δiδi on the collective variables δ₂, δ₄ is studied at the range of certain nuclear temperature (0—1 MeV). The pairing effect and the shell effect on the nuclear inertia are discussed. The calculated results show a very prominent structure at level crossing points and when acrossing the critical temperature.     

水绿矾的状态方程和高压熔化

 用阻抗匹配法和压电探针技术测量了初始密度为1.714 g/cm³（孔隙率α=ρ₀/ρ₀₀=1.898/1.714=1.107）的水绿矾（FeSO₄·7H₂O）的冲击压缩线,发现其在0～100 GPa范围内存在两个明显相区：含有部分熔融的低压相和完全熔化的高压相。在两个相区内,冲击波速度D和波后粒子速度u可分别描述为：D=0.59+2.06u（u<3.12 km/s）和D=3.18+1.223u（u≥3.12 km/s）。从冲击压缩数据出发,用欧拉有限应变理论得到了其等熵状态方程。其熔化方程可用p_m(GPa) =0.159(T_m(K)/1000)^6.3371+0.69来近似描述。     

高温超导体低温、高压下的物理性质的研究

 在3~20 GPa压力范围内，测量了含氧量较低的YBa₂Cu₃O_7-δ（δ=0.46）单晶压力增强效应（dT_c/dp=4.9KGPa^-1）；YBa₂Cu₃O₇（T_c0=90 K）单晶在压力下临界电流密度随压力变化；外磁场H=30 kO_e时，T_c与磁场、压力关系；压力达16.5 GPa下，Bi₂Sr₂CaCu₂O_x单晶T_c(p)关系（dT_c/dp=-0.4 KGPa^-1）。发现Y系高温超导体的温度压力导数dT_c/dp与T_c0中间呈dT_c/dp=b-mT_c0线性关系（b、m为常数）。结合压力下Y系超导体结构相变和含氧量对T_c影响，分析这类超导体T_c有很强的正压力效应的原因。把实验结果同几种超导电性微观理论模型进行了分析和比较。     

埃洛石的Birch-Murnaghan状态方程和高压物性

 用欧拉有限应变理论分析了埃洛石的冲击Hugoniot实验数据,得到了其低压相和高压相的等熵体积模量K_0S及其对压力的一阶导数K′_0S。对低压相,在γ＝0.43(ρ₀/ρ)时,K_0S＝32.16 GPa,K′_0S＝7.17;对高压相,在γ＝1.0(ρ₀/ρ)^1.5、且相变能各取579.1 J/g（常压下的值）和1 000 J/g时,K_0S、K′_0S分别为103.28 GPa 、4.97和95.85 GPa、5.35。根据高压下物性参数的跃变,讨论并分析了其各个相区物质组成的差异。     

Branching ratio and CP asymmetry of Bs→K0*(1430)η(') decays in the PQCD approach

In the two-quark model supposition for K₀^*(1430), which can be viewed as either the first excited state (Scenario Ⅰ) or the lowest lying state (Scenario Ⅱ), the branching ratios and the direct CP-violating asymmetries for decays B_s⁰→K₀^*0(1430)η^(') are studied by employing the perturbative QCD factorization approach. We find the following results: (a) The CP averaged branching ratios of B_s⁰→K₀^*0(1430)η and B_s⁰→K₀^*0(1430)η' are small and both in the order of 10^-7. If one views K₀^*(1430) as the lowest lying state, B (B_s⁰→K₀^*0(1430)η)≈3.9×10^-7 and B (B_s⁰→K₀^*0(1430)η')≈7.8×10^-7. (b) While the direct CP-violating asymmetries of these two decays are not small: if we still take the parameters of K₀^*(1430) in scenario Ⅱ, A_CP^dir (B_s⁰→K₀^*0(1430)η)≈56.2% and A_CP^dir (B_s⁰→K₀^*0(1430)η')≈2.4%. (c) The annihilation contributions will play an important role in accounting for future data, because both the branching ratios and the direct CP asymmetries of these two decays are sensitive to the annihilation type contributions.     

Experimental Study of Hadron Inclusive Production in J/ψ Region

The mean multiplicities of mesons π^±、π⁰、K^±、K⁰_s、ρ⁰.K^*0、K^*±、φ and baryons p、Ξ^±、Σ^±(1385) are measured for the first time in J/ψ region with 200,000 J/ψ events collected by the BES detector. The results are compatible with LUND and Shandong phenomenological models. Based on the experimental results, the strangeness suppression factor s/u and spin suppression factor V/(V+P) are calculated to be ～0.3 and ～0.3—0.5 respectively, in good agreement with those given by ARGUS Collaboration in region. This indicates that the SU(6) breaking is consistent in the energy region from J/ψ to .     

高温高压合成CeTbO3+δ的XPS研究

 经过高温高压合成的CeTbO_3+δ进行了XPS研究，发现在1.0 GPa下，Tb⁴⁺在~600 ℃开始转变成Tb³⁺，而Ce⁴⁺在~800 ℃开始向Ce³⁺转变。在1 000~1 200 ℃形成单相萤石结构化合物CeTbO_3+δ的Ce是以Ce³⁺、Ce⁴⁺混合价形式存在，Tb全部变成Tb³⁺。实验表明，用Ce_3d谱上~888 eV峰的峰位及其与882 eV峰的相对强度变化可以定性判断化合物中是否含有Ce³⁺。研究了高温高压合成的CeTbO_3+δ的稳定性随时间的变化问题。     

Raman and X-Ray Investigation of Pyrope Garnet （Mg0.76Fe0.14Ca0.10）3Al2Si3O12 under High Pressure

The compressional behavlour of natural pyrope garnet is investigated by using angle-dlspersive synchrotron radiation x-ray diffraction and Raman spectroscopy in a diamond anvil cell at room temperature. The pressureinduced phase transition does not occur under given pressure. The equation of state of pyrope garnet is determined under pressure up to 25.3 GPa. The bulk modulus KTO is 199 GPa, with its first pressure derivative K′TO fixed to 4. The Raman spectra of pyrope garnet are studied. A new Raman peak nearly at 743 cm^-1 is observed in a bending vibration of the SiO4 tetrahedra frequency range at pressure of about 28 GPa. We suggest that the new Raman peak results from the lattice distortion of the SiO4 tetrahedra. All the Raman frequencies continuously increase with the increasing pressure. The average pressure derivative of the high frequency modes （650-1000 cm^-1） is larger than that of the low frequency （smaller than 650 cm^-1）. Based on these data, the mode Grǖneisen parameters for pyrope are obtained.     

高压下β-FeOOH纳米固体结构转变的研究

 以化学水解法合成的β-FeOOH纳米微粉（平均粒径在12 nm左右）为原料，分别在0.0~4.5 GPa和200~350 ℃的压力和温度范围进行冷压和热压处理。实验结果表明，冷压对β-FeOOH纳米固体的结构没有明显影响，但却使它的热致相变（从β-FeOOH相到α-Fe₂O₃相）温度从常压下的203.8 ℃提高到4.5 GPa压力下的274 ℃，接近常规体相材料的相变温度。而在一定的热压条件处理下，首次发现了从β-FeOOH相到α-FeOOH相的结构转变，并在4.5 GPa、200 ℃的热压条件下得到了转变过程中的一个新的亚稳相。从压力和温度对纳米微粒的作用角度，对上述实验结果进行了讨论。     

Analysis of Bs→φμ+μ- decay within supersymmetry

Motivated by the rst measurement on B(B_s→φμ⁺μ^-) by the CDF Collaboration, we study the supersymmetric e ects in semi-leptonic B_s→φμ⁺μ^- decay. In our evaluations, we analyze the dependences of the dimuon invariant mass spectrum and the forward-backward asymmetry on relevant supersymmetric couplings in the MSSM with and without R-parity. The analyses show that the new experimental upper limits of B(B_s→φμ⁺μ^-)from the LHCb Collaboration could further improve the bounds on sneutrino exchange couplings and (δ_LL^u)₂₃ as well as (δ_LL,RR^u)₂₃ mass insertion couplings. In addition, within the allowed ranges of relevant couplings under the constraints from B(B_s→φμ⁺μ^-), B(B→K^(*)μ⁺μ^-) and (B_s→φμ⁺μ^-), the dimuon forward-backward asymmetry and the di erential dimuon forward-backward asymmetry of B_s→φμ⁺μ^-are highly sensitive to the squark exchange contribution and the (δ_LL^u)₂₃ mass insertion contribution. The results obtained in this work will be very useful in searching for supersymmetric signals at the LHC.