Uncertainty study of Bd(Bs)→ γν \bar{ν} Decays

B⁰(B_s) → γν\bar{ν} decays are useful to determining the decay constants f_B(f_{B_{s}}) and B(B_s) meson wave function. Using the B meson wave function determined in hadronic B(B_s) decays, we study the uncertainties due to the types of B meson wave functions. We find that the branching ratios are sensitive to the type of wave functions and input parameters, but the energy spectrum is independent. The predicted branching ratios are (0.45-1.04)× 10^-9 and (2.14-3.27)×10^-8 for B⁰ and B_s decay, respectively.     

Theoretical Calculation of Energy Spectrum of YGG：Cr^3＋ and Thermal Shifts of Its R-Lines

With the strong-field scheme and trigonal bases, the complete d3 energy matrix in a trigonally distorted cubic-field has been constructed. By diagonalizing this matrix, the energy spectrum of YGG：Cr^3＋ at normal pressure and low temperature has been calculated. The g factor of the ground-state has been evaluated in terms of the energy spectrum. At the same time, by using the wavefunctions obtained from diagonalizing the complete d^3 energy matrix and Thermal Shifts theory, we calculate the thermal shifts of the sharp lines of YGG：Cr^3＋ and determine the relevant parameters. The calculated results are all in good agreement with the optical-spectrum and EPR experimental data. It is demonstrated that the obtained wavefunctions and the values of parameters are reasonable.     

Explicit Soliton and Periodic Solutions to Three-Wave System with Quadratic and Cubic Nonlinearities

Lie group theoretical method and the equation of the Jacobi elliptic function are used to study the three wave system that couples two fundamental frequency (FF) and a single second harmonic (SH) one by competing χ⁽²⁾ (quadratic) andχ⁽³⁾ (cubic) nonlinearities and birefringence. This system shares some of the nice properties of soliton system. On the phase-locked condition, we obtain large families of analytical solutions as the soliton, kink and periodic solutions of this system.     

Production of Top-Pions Associated with W Boson at Next Generation γγ Colliders

In the context of topcolor-assisted technicolor (TC2) model, we study the charged and neutral top-pions production process γγ→W⁺ Π_t^-Π_t⁰. We find that the production cross section is larger than that of the process γγ→W⁺H^-H in the minimal supersymmetric standard model. With reasonable values of the parameters in the TC2 model, the cross section can reach the level of a few fb. Furthermore, the flavor-changing (FC) decay mode Π_t⁰ → t\bar{c} is the best channel to detect theneutral top-pion due to the clean SM background. With a large number of events and the clean background, the neutral top-pion should be observable at future linear colliders operating in γγ mode at the TeV energy scale.     

Elastic Collisions Between two Ground-State P and D Atoms at Low and Ultralow Temperatures

The PD（X^3∑^-） interaction potential is constructed using the CCSD（T） theory and the basis set, augcc-pV5Z. Using this potential, the spectroscopic parameters are accurately determined. The present Do, De, Re, ωe, ωeχe, αe, and Be are of 3.056 99 eV, 3.161 75 eV, 0.142 39 nm, 1701.558 cm^-1, 23.6583 cm^-1, 0.085 99 cm^-1, and 4.3963 cm^-1, respectively, which almost perfectly conform with the measurements. A total of 26 vibrational states is predicted when J = 0 by solving the radial Sehrodinger equation of nuclear motion. The complete vibrational levels, classical turning points, initial rotation and centrifugal distortion constants when J = 0 are reported for the first time, which favorably agree with the experiments. The total and various partial-wave cross sections are calculated for the elastic impact between two ground-state P and D atoms at 1.0 × 10^-12 - 1.0 × 10^-4 a.u. when they approach each other along the PD（X^3∑^-） potential. No shape resonances exist in the total elastic cross sections, though the peaks can be found for each partial wave until l=6. The shape of the total elastic cross sections is dominated by the s partial wave at very low temperatures. Due to the weakness of the shape resonances of each partial wave, they are all passed into oblivion by the strong total elastic cross sections.     

激发功率、退火温度及Tm3+浓度对Tm3+/Er3+/Yb3+三掺YF3粉末上转换发光性质的影响

用水热法合成了Tm³⁺/Er³⁺/Yb³⁺三掺杂YF₃上转换发光粉末,并对其进行了结构和形貌表征.对上转换发射谱的研究表明,在相对低激发功率下,可以观察到比较明亮的近白色发光,且随着激发功率的增大,上转换发射强度迅速增大并达到饱和状态,继续增大激发功率,出现发光猝灭现象.退火温度对上转换发射强度的影响表明,随着退火温度的升高,Tm³⁺,Er³⁺的所有特征发射峰均相对增强.上转换发射谱随Tm³⁺浓度变化关系表明,在相对低Tm³⁺掺杂浓度下,Tm³⁺-Er³⁺相互作用占优势,Tm³⁺把能量传递给Er³⁺,Er³⁺发射相对增强;在相对高掺杂浓度下,Tm³⁺-Tm³⁺之间交叉弛豫过程占优势,Er³⁺发射相对减弱.从实验结果看出,该粉末的上转换发光非常丰富,从紫外到红外均有发射,是一种潜在的白色上转换发光及三维固体显示材料.     

SeN_2自由基解析势能函数的耦合簇理论研究

利用单双迭代耦合簇理论CCSD结合相关一致四重基组cc-pVQZ对SeN2基态的平衡结构和谐振频率进行了优化计算.计算结果表明:基态SeN2自由基分子稳定态为C2v构型,基态电子组态为X1A1,平衡核间距RSe-N=0.1691 nm,RN-N=0.1970 nm,αN-Se-N=71.289?,离解能De=4.78 eV.基态简正振动频率分别为:ν1=326.9288 cm-1,ν2=808.0161 cm-1以及ν3=948.3430 cm-1.对SeN基态和N2基态采用上述相同方法进行几何构型与谐振频率的计算并进行单点能扫描,使用Murrell-Sorbie函数进行最小二乘拟合得到其势能函数和光谱常数,通过和其他理论值以及实验值做比较,显示本文的计算工作达到了很高的精度.应用多体项展式理论导出了基态SeN2的全空间解析势能函数,其势能函数等值势能图准确再现了SeN2分子的结构特征和能量变化.     

Holography, UV/IR Relation, Causal Entropy Bound, and Dark Energy

The constraint on the total energy in a given spatial region is given from holography by the mass of a black hole that just fits in that region, which leads to an UV/IR relation： the maximal energy density in that region is proportional to Mp^2/L^2, where Mp is the Planck mass and L is the spatial scale of that region under consideration. Assuming the maximal black hole in the universe is formed through gravitational collapse of perturbations in the universe, then the ＂Jeans＂ scale of the perturbations gives a causal connection scale RCC. For gravitational perturbations, RCC^-2= Max （H＋ 2H^2, -H） for a fiat universe. We study the cosmological dynamics of the corresponding vacuum energy density by choosing the causal connection scale as the IR cutoff in the UV/IR relation, in the cases of the vacuum energy density as an independently conserved energy component and an effective dynamical cosmological constant, respectively. It turns out that only the case with the choice RCC^-2 = H＋ 2H^2, could be consistent with the current cosmological observations when the vacuum density appears as an independently conserved energy component. In this case, the model is called holographic Ricci scalar dark energy model in the literature.     

Effects of Transverse Field on Internal Energy and Specific Heat of a Molecular-Based Materials

The molecular-based magnetic materials AFe^IIFe^III (C₂O₄)₃ have ahoneycomb structure in which Fe^III (S=2) and Fe^III (S=5/2) occupy sites alternately. They can be described as mixed spin-2 and spin-5/2 Ising model with ferrimagnetic interlayer coupling. The influences of the transversefield on the internal energy and the specific heat of the molecular-based magnetic system have been studied numerically by using the effective-field theory with self-spin correlations and the differential operator technique.     

Electronic Properties of Fullerenes for Two Kinds of Hybridized Orbits

The electronic hopping energies and the band structure of a neutral C₆₀ molecule for two kinds of hybridized orbits, sp³ and sp², are studied using the Wannier function method and tight-binding approximation model, respectively. By comparison, the sp³ hybridized type is superior in the band structure obtained by employing the Wannier function method. When the effective nuclear charge number Z = 1.148 the energy gap (t_lu-h_u), bandwidth (t_3g-a_g) and threshold value (t_3g-h_u) of the ionization energy are 1.70 eV, 11.35 eV and 7.69 eV, respectively. These results are in accord with the experimental values.     

Relativistic Magnetosonic Solitary Wave in Magnetized Multi-Ion Plasma

In the presence of an applied uniform magnetic field Bo, the properties of 2-dimensional （2D） magnetosonic solitary waves of relativistic amplitude in the plasma containing electron, light ions He^＋, and heavy ions O＋ are presented. In the weakly relativistic limit, a Kadomtsev Petviashvili （KP） equation is derived by reductive perturbation method. We give the N-soliton solution of the KP equation and find dromion solutions of a potential of the physical field. The interaction law of the dromions is obtained, which shows there is no exchange of energy, momentum, and angular momentum before and after interaction of the dromions except for phase shifts.     

1,6-二[(2'-苄胺甲酰基)苯甲氧基]己烷混合稀土配合物中镧、钆、钇对铕和铽荧光性能的影响

在氯仿和乙酸乙酯溶液中合成了1,6-二[(2′-苄胺甲酰基)苯甲氧基]己烷(L)的铕和铽的配合物,及其与La(Ⅲ)、Gd(Ⅲ)、Y(Ⅲ)的混合配合物。元素分析数据表明单—稀土硝酸盐与配体形成的是2:3型的配合物;通过红外光谱表征,混合配合物和单一配合物具有相似的配位结构。紫外光谱的数据表明,掺杂数量相同的其他离子会干扰Eu和Tb配合物对紫外光的吸收。对混合配合物的荧光进行了详细的研究,结果表明:La(Ⅲ)、Gd(Ⅲ)、Y(Ⅲ)对铕和铽的发光有显著的增强作用,但对其发射峰位的影响不大,三种离子中Gd³⁺的增强作用最大,且掺杂量对荧光增强作用也有影响。     

各向异性海森伯自旋链中的超椭圆函数波解

在霍尔斯坦-普里马科夫表象中研究了各向异性海森伯自旋链模型.在半经典近似条件下,考虑高阶非线性项和周期性边界条件,应用相干态求出了用雅可比椭圆函数的反函数的组合表示的超椭圆函数波解,并讨论了解的物理意义.     

Production of Charged Higgs Bosons from Left-Right Twin Higgs Model at TeV Energy e-γ Colliders

The left-right twin Higgs (LRTH) model predicts the existence of three additional Higgs bosons: one neutral Higgs ø⁰ and a pair of charged Higgs bosons ø^±. In this paper, we study two pair production processes of these new particles at the next generation eγ colliders, i.e., e^-γ → e^-ø⁺ø^-, ande^-γ→ ν_Rø^-ø⁰. We find that the production cross section of the process e^-γ →e^-ø⁺ø^- are at the level of several tens fb, the production cross section of the process e^-γ→ν_Rø^-ø⁰ can reach 0.35 fb with the reasonable parameter values. As long as the charged Higgs bosons are not too heavy, we conclude that these processes might be used to test for the left-right twin Higgs model in future high-energy linear collider experiments.     

Calculation of Energy and Other Properties of Muonic Helium Atom Using Boundary Conditions of Wave Function

The properties of muonic helium atom （^4He＋2μ-e-） in ground state are considered. In this work, the energy and average distance between particles have been obtained using a wave function, which satisfies boundary conditions. It is shown that the obtained energy are very close to the values calculated by others. But the small differences of the expectation values of r^2n are due to the incorporated boundary conditions in proposed wave function and are expected.     

Interference Angle on Quantum Rotational Energy Transfer in Na+Na2 (A1 Σ+u,v=8∽ b3 Π0u,v=14) Molecular Collision System

In order to study the collisional quantum interference (CQI) on rotational energy transfer in atom-diatom system, we have studied the relation of the integral interference angle and differential interference angle in Na+Na₂ (A¹Σ^+_u, v=8∽b³Π_0u, v=14) collision system. In this paper, based on the first-Born approximation of time-dependent perturbation theory and takinginto accounts the anisotropic effect of Lennard-Jones interaction potentials,we present a theoretical model of collisional quantum interference inintramolecular rotational energy transfer, and a relationship betweendifferential and integral interference angles.     

中华黄萤荧光素酶的性质

近年来,萤火虫荧光素酶催化的生物发光反应被广泛的应用到ATP检测、细菌数目检测、环境监测和其他生物学研究之中。通过对中华黄萤荧光素酶的性质研究,发现其分子量为6 400左右,是一种非典型的Michaelis-Menten氏酶,对底物之一的ATP动力学曲线为S型。最适反应温度为20～25℃,对温度极其敏感,当反应温度高于30℃时,该酶的活性快速失活。该荧光素酶的最适pH=6.5。随着pH值的下降该荧光素酶生物发光的最大发射光波长没有明显的红移现象。Mg²⁺和Mn²⁺对该酶活性的激活效果比较接近,最佳的激活浓度均在1mmol/L附近,而Ca²⁺最佳的激活浓度则小于1 mmol/L,且激活的效果只有Mg²⁺作用效果的50%左右。和Hg²⁺、Cd²⁺等离子一样,Cu²⁺会在一定程度上抑制该荧光素酶的活性。该酶的稳定性较差,对盐浓度和光照比较敏感,高浓度的盐类和长时间的日光照射能够使酶失活。谷胱甘肽(GSH)和二硫苏糖醇(DTT)是该酶较好的保护剂,可以提高该酶在一定时间内的稳定性,其中前者的作用效果要好于后者。     

Pressure-induced threshold optical pump intensity in a CdTe/ZnTe quantum dot

Pressure-induced binding energies of an exciton and a biexciton are studied taking into account the geometrical confinement effect in a CdTe/ZnTe quantum dot. Coulomb interaction energy is obtained using Hartree potential. The energy eigenvalue and wave functions of exciton and the biexciton are obtained using the self-consistent technique. The effective mass approximation and BenDaniel-Duke boundary conditions are used in the self-consistent calculations. The pressure-induced nonlinear optical absorption coefficients for the heavy hole exciton and the biexciton as a function of incident photon energy for CdTe/ZnTe quantum dot are investigated. The optical gain coefficient with the injection current density, in the presence of various hydrostatic pressure values, is studied in a CdTe/ZnTe spherical quantum dot. The pressure-induced threshold optical pump intensity with the dot radius is investigated. The results show that the pressure-induced electronic and optical properties strongly depend on the spatial confinement effect.     

Simple theory of the density-of-states function in heavily doped non-linear optical and optoelectronic materials

We study theoretically the dispersion relation of the conduction electrons and the corresponding density-of-state (DOS) function in heavily doped non-linear optical, tetragonal, III–V, ternary and quaternary materials forming band tails. It has been found, taking CdGeAs₂, Cd₃As₂, InAs, In_1−xGa_xAs_yP_1−y lattice matched to InP and Hg_1−xCd_xTe as examples of the aforementioned materials that the complex nature of the energy spectrum, the oscillatory DOS for the negative values of the energy and the creation of a new forbidden zone is due to the presence of the crystal field splitting constant, the anisotropic effective electron mass and the anisotropic spin–orbit splitting for the tetragonal and non-linear optical materials and because of the interaction of the impurity atoms in the tails with the spin–orbit splitting of the valence bands for the other compounds. Analytically, the presence of non-removable poles in the dispersion relation of the undoped material creates the complex energy spectrum for the corresponding heavily doped sample and the solution of the Boltzmann transport equation will introduce new physical ideas and new experimental findings under different external conditions. The results of the perturbed III–V semiconductors whose unperturbed energy band structures are defined by the two band model of Kane and that of parabolic energy bands are special cases of our generalized analysis and no oscillations in the DOS are found in the aforementioned cases. The well-known results of the DOS for all materials in the absence of doping have also been obtained from the theoretical analysis under certain limiting conditions. This compatibility is the indirect test of our generalized formalism.     

OH,OCl,HOCl(~1A′)的从头算与势能曲线

采用Gassian09程序包中的多种方法对OH,OCl,HOCl分子的基态结构进行优化计算,优选出QCISD/6-311G（2df）,B3P86/6-31 1+G（2df）方法分别对OH（X²∏）,OCl（X²∏）分子进行计算,得到平衡核间距R_OH=0.09696nm,R_OCl=0.1569 nm,谐振频率w（OH）=3745.37 cm^-1,e（OCl）=892.046 cm^-1,与实验结果非常符合.用Murrell-Sorbie势能函数对OH和OCl分子的扫描势能点进行拟合,其扫描点都与四参数Murrell-Sorbie函数拟合曲线符合得很好.优选出QCISD（T）/D95（df,pd）方法对HOCl分子进行计算,得到基态为X¹A’,键长R_OH=0.0966 nm,键角∠HOCl=102.3°,谐振频率w₁（a₁）=738.69 cm^-1,w₂（b2）=1260.25 cm^-1,离解能D_e=2.24 eV.通过比较发现这些结果与实验值符合得很好,并优于文献报道的结果.随后计算出了力常数,在此基础上,推导出HOCl分子的多体展式势能函数.报道了HOCl分子对称伸缩振动势能图中在H+OCl→HOCl反应通道上有一鞍点,H原子需要越过1.74 eV的能垒才能生成HOCl的稳定结构,在Cl+OH→HOCl通道上不存在明显势垒,容易形成稳定的HOCl分子.