基于不确定度理论的大摆角单摆平均“周期”测量的最佳累计次数研究

由于空气阻尼的作用,测量大摆角单摆“周期”时,测量累计次数增加造成平均“周期”不断减小,在无阻尼实验设定下,系统误差随之增大而随机误差却因此减小.基于弱阻尼大摆角单摆的运动方程与“周期”计算公式,通过数值计算不同摆长与摆角下使不确定度最小的最佳累计摆动次数,发现如果进行单次测量,采用秒表测量时最佳累计摆动次数往往需要大于20次,采用光电门测量时,在不同的摆长和摆角下,测量次数往往也不止1次;而如果采用多次测量,则可以显著减小每次测量所需要的最佳累计摆动次数.采用计算所得最佳摆动次数测量可以将周期测量的不确定度减小到A类不确定度的√2倍.     

First order QED processes in a spatially flat FLRW space-time with a Milne-type scale factor

The quantum electrodynamics(QED)in a spatially flat(1+3)-dimensional Friedmann-Lema?tre-Robertson-Walker(FLRW)space-time with a Milne-type scale factor is outlined focusing on the amplitudes of the allowed processes in the first order perturbations.The definition of the transition rates is reconsidered such that an appropriate angular behavior of the probability for creation of an electron-positron pair from a photon is obtained,which has a similar rate as the creation of a photon and an electron-positron pair from vacuum.It is shown that these processes are allowed only in the first order perturbations,since the photon emission or absorption by an electron or positron are forbidden.     

P-wave contributions to B_((s))→ψKπ decays in perturbative QCD approach

We study the quasi-two-body decays B_((s)) ψ[K~*(892) K~*(1410) K~*(1680)] ψKπ by employing the perturbative QCD(PQCD) factorization approach, where the charmonia ψ represents J/ψ and ψ(2S). The corresponding decay channels are studied by constructing the kaon-pion distribution amplitude(DA) Φ_(Kπ)~P, which comprises important final state interactions between the kaon and pion in the resonant region. Relativistic Breit-Wigner formulas are adopted to parameterize the time-like form factor F_(Kπ) appearing in the kaon-pion DAs. The SU(3) flavor symmetry breaking effect resulting from the mass difference between the kaon and pion is taken into account,which makes significant contributions to the longitudinal polarizations. The observed branching ratios and the polarization fractions of B_((s)) ψK~*(892) ψKπ are accommodated by tuning hadronic parameters for the kaon-pion DAs. The PQCD predictions for B_((s)) ψ[K~*(1410) K~*(1680)] ψKπ modes from the same set of parameters can be tested by precise data obtained in the future from LHCb and Belle Ⅱ experiments.     

Analytical investigation of γN→N*,Δ* transition helicity amplitudes

We study the structure of nonstrange baryons by analytically calculating the electromagnetic transition helicity amplitudes of the nucleon and Δ resonances. We employ an improved hypercentral constituent quark model and obtain the corresponding eigenenergies and eigenfunctions in closed forms. Then, we calculate the transverse and longitudinal helicity amplitudes for nucleon and Δ resonances. The comparison of evaluated observables and experimental data indicates good agreement between the proposed model and available data.     

Mathematical Operations of Transmissive Near Fields Controlled by Metasurface with Phase and Amplitude Modulations

Metasurfaces show great potential due to their powerful ability to manipulate electromagnetic waves as desired, which has been widely investigated in the microwave, terahertz, infrared, and visible regimes. Here, it is proposed to control near-field distributions through use of a metasurface with both amplitude and phase modulations. A C-shaped particle is designed to provide stable and continuous amplitude and phase profiles independently of transmitted waves by varying its opening and orientation angles. Benefiting from both amplitude and phase modulations on the metasurface, differentiation and integration on electric-field distributions can be achieved by changing the arrangements of complex coefficients on the metasurface. Besides, the differential operation can be utilized to show the edges of predesigned electric-field distributions. It is believed that the proposed method will accelerate the pace of metasurfaces towards many applications by engineering and operating the near-field distributions.     

Condensed Aromatics. Part XVII. Mean Amplitudes and Perpendicular Amplitude Coefficients for Anthracene

Mean amplitudes of vibration (Z) and perpendicular amplitude correction coefficients (K) are computed from spectroscopic data. They are consistent with the most recently observed vibrational frequencies. The values of K are reported here for the first time.     

Ab-initio theoretical analysis of thermal expansivity,thermal vibrations and melting of thorium

The thermal expansivity and mean-square thermal vibrational amplitudes were determined as a function of temperature for thorium from first principles total energy calculations using the full potential linearized augmented plane wave (FP-LAPW) method. The coefficient of thermal expansion determined from variation of theoretical potential energy with interatomic separation is ～1.427 × 10^?5 K^?1 as compared to an experimental value of 1.23 × 10^?5 K^?1. The mean-square thermal vibrational amplitudes determined as a function of temperature from the theoretically calculated volume-dependent Debye temperature agree well with experimental data derived form neutron diffraction measurements. The melting temperature of thorium, determined theoretically from the mean-square thermal vibrations and the Lindemann rule for melting, is 2234 K, as compared to the reported experimental value of 2021 K.     

Vibrational Properties of Pertechnetyl Fluoride

Abstract

Pertechnetyl fluoride, TcO₃F, had been prepared some years ago¹, but its vibrational spectrum was only recently recorded and interpreted². The spectroscopic study reveals that, as expected, TcO₃F posseses C_3v symmetry, and the values found for the fundamental vibrations are in good agreement with those previously estimated by Müller et al.³ in a paper concerning with the vibrational behaviour of MO₃X^n? species, and some systematic relations among them (cf. also⁴).     

Pomerons and BCFW recursion relations for strings on D-branes

We derive pomeron vertex operators for bosonic strings and superstrings in the presence of D-branes. We demonstrate how they can be used in order to compute the Regge behavior of string amplitudes on D-branes and the amplitude of ultrarelativistic D-brane scattering. After a lightning review of the BCFW method, we proceed in a classification of the various BCFW shifts possible in a field/string theory in the presence of defects/D-branes. The BCFW shifts present several novel features, such as the possibility of performing single particle momentum shifts, due to the breaking of momentum conservation in the directions normal to the defect. Using the pomeron vertices we show that superstring amplitudes on the disc involving both open and closed strings should obey BCFW recursion relations. As a particular example, we analyze explicitly the case of 1→1$1\to 1$ scattering of level one closed string states off a D-brane. Finally, we investigate whether the eikonal Regge regime conjecture holds in the presence of D-branes.     

结合局部一致性和低频振幅探究躯体症状障碍患者大脑自发性活动的改变

躯体症状障碍（somatic symptom disorder,SSD）是一种常见的医学疾病,致病原因涉及生物学、心理学及社会因素.目前关于SSD的神经机制知之甚少.本研究通过静息态功能磁共振成像（functional magnetic resonance imaging,fMRI）,结合低频振幅（amplitudes of low-frequency fluctuation,ALFF）和局部一致性（regional homogeneity,ReHo）分析探究45位SSD患者和43位健康对照自发性脑活动特征的区别.结果发现：与对照组相比,SSD患者右侧扣带回中部的ReHo值显著升高,而右侧楔前叶、左侧颞下回延伸到左侧颞中回和左侧海马旁回、右侧脑桥的ReHo值显著降低.同时,SSD患者扣带回中部延伸至左侧额中回、右侧脑岛延伸至右侧额下回、左侧额中回延伸至左侧前扣带回的ALFF值均显著升高.这些脑区的脑功能与自我加工、情绪处理、身体知觉等有关,与SSD发病机制有重要联系.