SU(2)×U(1)×S3模型及类K0-K0系统的混合和CP破坏效应

本文内容包括:(ⅰ)进一步给出SU(2)×U(1)×S₃模型的结果S₂≈S₃≈(m_s²)/(m_b²);sin δ≤(m_um_d)/(m_cm_s),并预言b夸克的主要衰变道是b→u+W,b夸克的寿命可能长到10^-9秒.(ⅱ)给出类K⁰-K⁰系统混合时的精确表达式ρ=错号事例数/对号事例数=(1/2)(|p/q|²+|q/p|²)([Γ²+(Δm)²]²-(γ1γ2)²)/([Γ²+(Δm)²]²+(γ1γ2)²);并给出CP破坏的精确表达式:A=(1-ρ')/(1+ρ')=(I_M12Γ₁₂^*)/(|M₁₂|²+1/4|Γ₁₂|²),这里ρ′=(负电错号事例数)/(正电错号事例数)。     

锰铜压力计的灵敏度

 文中根据K. Yosida对锰铜合金电阻率的理论，认为电阻率和下列各量成比例关系：ρ∝VDS/E_f，式中E_f是电子的费米能，V为导体体积，S为锰离子的自旋，D为交换积分函数。代入计算电阻的公式，求得ΔR/R=ΔD/D－ΔE_f/E_f+ΔS/S+2ΔV/(3V)，然后文中分别求出了上式中后边前三项和ΔV/V的关系，最后利用静力压缩曲线求得ΔR/R和流体静压力p的关系为：ΔR/R₀=2.41×10⁵×p (Pa)，流体动压力关系为：ΔR/R₀=2.8×10⁵×p (Pa)，和实验结果进行了比较，十分符合。     

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。     

Pressure-induced phase transition of wulfenite

The in-situ high-pressure structures of wulfenite have been investigated by means of angular dispersive X-ray diffraction with diamond anvil cell and synchrotron radiation. In the pressure up to 22.9 GPa, a pressure-induced scheelite-to-fergusonite transition is observed at about 10.6 GPa. The pressure dependence for the lattice parameters of wulfenite is reported, and the axial compression coefficients Ka₀=－1.36×10^－3 GPa^－1 and Kc₀= －2.78×10^－3 GPa^－1 are given. The room-temperature isothermal bulk modulus is also obtained by fitting the P-V data using the Murnaghan equation of state.     

铜的高压声速和冲击熔化

 用光分析技术，测量了在一维应变冲击条件下，无氧铜的高压下声速，压力范围为125~170 GPa。将上述结果与Broberg、Morris等和Aльгшуер等过去发表的数据结合在一起，对0~170 GPa整个压力区间的声速数据做了综合分析，给出了声速随压力的变化规律。实验结果发现，无氧铜在156~159 GPa之间开始发生冲击熔化，到170 GPa左右，完全进入液相区；对于处于0~156 GPa固体无氧铜的弹性声速c_l可用ln c_l=1.565 888-2.645 488×10^-2ln p+2.710 681×10^-2ln²p拟合公式描述（p的单位为GPa，c_l的单位为km/s），拟合值与实验值的相对误差小于1.3%。     

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.     

THE LEVINSON THEOREM AND ITS GENERALIZATION IN RELATIVISTIC QUANTUM MECHANICS

The Levinson Theorem in non-relativistic quantum mechanics is derived by Green function method which leads to the following expression:n_l=1/π[δ_l（0）—δ_l（∞）]—（（—1）^l）/2 sin²δ_l（0）Then its generalization in Dirae equation is fuond as: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 There are two expressions for Klein-Gordon equation: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）].The implication of these theorems and the range of their validity with relevantproblems are discussed.An example of S state ease in square well potential is trea-ted for testing these formulas.     

高山宇宙线荷电强子流强的负正比

在海拔3220米的实验室里,用磁谱仪动量予选装置和多板云室,对落在0.23m²面积上的单根荷电强子进行了观测.考虑到各种可能的修正以后,得出在10—20 GeV/c之间,荷电强子的负正比为:N^-/N⁺=0.53±0.05.当认为N⁺只包含有P和π⁺,N^-是π^-,而且N_π+/N_π-=1时,推算出N_π-/N_p=0.9±0.1.若π^-积分谱的形式为j（>p）=Kp^-r,估算出在5—20 GeV/c的动量范围,r（?）2.3.本文也对荷电强子的积分流强作了粗略的估计,其结果是:j_⊥^p+π（>12 GeV/c）=（7.4±0.7）×10^-5cm^-2·st^-1·s^-1.     

对带电轻子质量公式的一些猜测

本文建议轻子电磁自能通过（（δm）/m）=（1/（2π））n^-b 与量子数 n 联系起来,其中 b 为待定常数.并建议动量截断值 M 与引力常数 k 和精细结构常数α的联系为 M=（?）.得到了带电轻子质量公式（?）.利用 e^-和μ^-质量的实验值和α值作输入,给出计算值 k=（6.67231±0.00026）×10^-8 cm³g^-lsec^-2和m_τ=（1782.306±0.078）MeV,与观察值 k=（6.6720±0.0041）×10^-8cm³ g^-1sec^-2和 m_τ=(1782_-4⁺³)MeV 很好符合.公式预言第四个带电轻子质量应为 m=（11725.47±0.51）MeV 可以在最近的实验中检验。本文还对所建议的质量公式和结果进行了讨论.     

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。     

Experimental Study of Resonance f2(1270) in the J/ψ Hadronic Decay

Based on the 2.5 million J/ψ's collected by the BES at BEPC,through the hadronic decay J/ψ→ωf₂(1270),f₂(1270)→π⁺π^－,ω→π⁺π^－π⁰,the properties of the resonance f₂(1270) are studied:its mass,width,and branching ratio.the angular distribution is fitted with maximum likelihood methood,determining its.J^PC=2⁺⁺ and giving in the first time the helicity amplitude ratios of this process as:x=0.99±0.29; y=－0.24±0.17; z₁=0.90±0.57;z₂=0.56±0.22.     

氧化镍（绿镍矿）等温压缩及高压相变研究

 本文采用DAC（金刚石压砧高压腔）装置，对氧化镍进行了静水压、非静水压、电导率测量等系统高压实验，获取了氧化镍等温压缩、高压相变及电导率压力效应的新结果，并在实验数据的基础上，对其高压相变与电性及磁性变化关系及体弹性模量作了分析讨论。     

Pressure-induced phase transition of wulfenite

The in-situ high-pressure structures of wulfenite have been investigated by means of angular dispersive X-ray diffraction with diamond anvil cell and synchrotron radiation. In the pressure up to 22.9 GPa, a pressure-induced scheelite-to-fergusonite transition is observed at about 10.6 GPa. The pressure dependence for the lattice parameters of wulfenite is reported, and the axial compression coefficients Ka₀=－1.36×10^－3 GPa^－1 and Kc₀= －2.78×10^－3 GPa^－1 are given. The room-temperature isothermal bulk modulus is also obtained by fitting the P-V data using the Murnaghan equation of state.

     

顽火辉石(Mg0.92,Fe0.08)SiO3的冲击相变和高压状态方程及其地球物理意义

 用阻抗匹配法和电探针技术在48~140 GPa冲击压力范围内对化学组分为(Mg_0.92, Fe_0.08)SiO₃、初始密度为3.06 g/cm³的天然顽火辉石进行了冲击压缩实验。根据本工作13发实验数据，结合McQueen等人的数据可以看出，(Mg_0.92, Fe_0.08)SiO₃顽火辉石在冲击压缩过程中，大约经历三个明显区域：低压相区，压力范围为0~40 GPa；混合相区，压力范围为40～67 GPa；高压相区，压力范围为68～140 GPa。在低压相区，D-u关系已由McQueen给出；而在高压相区（68～140 GPa），可由本实验数据得到。由叠加原理计算得到的混合物(Mg_0.92, Fe_0.08)O(Mw)+SiO₂(St)的D-u关系及p-ρ关系曲线明显偏离了实验数据的拟合曲线，从而排除了在高达140 GPa冲击压力下，钙钛矿结构的(Mg_0.92, Fe_0.08)SiO₃发生向氧化物化学分解相变的可能性。对高压相区的实验数据进行拟合，可以得到(Mg_0.92, Fe_0.08)SiO₃钙钛矿的Grüneisen参数γ。通过三阶Birch-Murnaghan有限应变状态方程，由冲击波实验数据得到了零压等熵体积模量K_0S=259.6(9) GPa及其对压力的一阶偏导数K′_0S=4.20(5)，其ρ₀=4.19 g/cm³。(Mg_0.92, Fe_0.08)SiO₃钙钛矿冲击压缩下的密度数据与PREM密度剖面吻合很好，支持钙钛矿为主要成分的下地幔模型。     

PRODUCTION OF A 3－+ GLUEBALL IN J/ψ RADIATIVE DECAY

The multiple angular-correlation function for the sequential decays J/ψ→γ+G(3^－+), G(3^－+)→M₁M₂, where G is a J^pc=3^－+ state and M₁ and M₂ are spinless mesons, is deduced. A 3^－+ glueball state is discussed and the ratios of the helicity amplitudes of J/ψ→γ+G(3^－+) are calculated. One ratio is independent of the glueball's mass and very small.     

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。     

Rare decays B0s,d→l+l－ in a top quark two-Higgs-doublet model

In the framework of T2HDM, we calculated the new physics contributions involving neutral Higgs bosons to the branching ratios of B⁰_s,d→l⁺l^－ (l=e, μ) decays. Comparing the theoretical predictions with the experimental upper-limits, we found that (a) The data of Br(B⁰_d→l⁺l^－) give the upper bound on tanβ: tanβ≤22, while Br(B⁰_s→l⁺l^－) give tanβ≤12 for fixed δ=0°, m_H+=350 GeV, m_H0=160 GeV, m_h0=115 GeV and m_A0=120 GeV; (b) A light neutral Higgs boson mass m_h0 (m_A0) less than 50 GeV (120 GeV) is excluded by the data of branching ratios for B⁰_s,d→l⁺l^－(l=μ) decays with tanβ=10; (c) The bounds on m_h0 and tanβ, or m_A0 and tanβ are strongly correlated: a smaller (larger) tanβ means a lighter (heavier) neutral Higgs boson.

     

高岭石的高温高压相图及其地学意义

 用阻抗匹配法和PZT压电探针技术,在100 GPa的冲击压力范围内测量了初始密度分别为1.375 g/cm³和2.001 g/cm³两种孔隙度叙永石样品的Hugoniot状态方程。根据其p_H-ρ_H线所给出的高温高压相变点,用Grüneisen状态方程计算其相变点压力所对应的温度,并结合常压下受热相变的温度值,建立了“高岭石/Al₂O₃+SiO₂+H₂O”的温度-压力相平衡图。通过该相图与线性地热线的交点推断：高岭石至少可在上地幔50 km深处作为一种含水（OH^-）矿物而稳定存在;或在俯冲板块中至少于133 km深处作为一种含水（OH^-）泥质沉积物的过渡相而存在。     

THE INTERACTION OF A HIGH ENERGETIC PROTON WITH A NUCLEUS—THE RELATION OF THE PRODUCED PARTICLES WITH THE NUCLEAR MASS NUMBER A

Suppose that a high energetic proton interacts with a cluster of m particles in anucleus the mean multiplicity of this interaction and that of PP interaction followthe same law: n=CS^k. Using the Glauber theory we get R(A)≡n_PA/n_PP1.26A ^1/3(A ^1/3+1) ^-2/3 This formula explains the current experimental result quite well.