THE FACTORS FOR THE EMC PHENOMEKON AND THE RATIO RA=(σL/σT)A

The three factors are discussed which may be related to the EMC phenomenon directly, and it is tried to understand the new results on the ratio R^A=(σ_L/σ_T)_A. It is also pointed out that shadowing cannot match the obvious deviation in the small x region between the data obtained by the two categories of experiments PA and eA.     

Double Wronskian Solutions for a Generalized Nonautonomous Nonlinear Equation in a Nonlinear Inhomogeneous Fiber

A generalized nonautonomous nonlinear equation, which describes the ultrashort optical pulse propagating in a nonlinear inhomogeneous fiber, is investigated. N-soliton solutions for such an equation are constructed and verified with the Wronskian technique. Collisions among the three solitons are discussed and illustrated, and effects of the coefficients σ₁(x, t), σ₂(x, t), σ₃(x, t) and v(x, t) on the collisions are graphically analyzed, where σ₁(x, t), σ₂(x, t), σ₃(x, t) and v(x, t) are the first-, second-, third-order dispersion parameters and an inhomogeneous parameter related to the phase modulation and gain(loss), respectively. The head-on collisions among the three solitons are observed, where the collisions are elastc. When σ₁(x, t) is chosen as the function of x, amplitudes of the solitons do not alter, but the speed of one of the solitons changes. σ₂(x, t) is found to affect the amplitudes and speeds of the two of the solitons. It reveals that the collision features of the solitons alter with σ₃(x, t)=-1.8x. Additionally, traveling directions of the three solitons are observed to be parallel when we change the value of v(x, t).     

A New(γ_A,σ_B)-Matrix KP Hierarchy and Its Solutions

A new(γA,σB)-matrix KP hierarchy with two time series γA and σB,which consists of γA-flow,σB-flow and mixed γA and σB-evolution equations of eigenfunctions,is proposed.The reduction and constrained flows of(γA,σB)matrix KP hierarchy are studied.The dressing method is generalized to the(γA,σB)-matrix KP hierarchy and some solutions are presented.     

QCD Correction to σ(e+e-→ZH→Zbb)

We study the QCD corrections to the calculated values of σ(e⁺e^-→ZH→Zbb), and find that for M_H<100 GeV, the process can be measured at the LEP energy to extract information of Higgs and the QCD corrections are negligible, namely the tree-level calculation is sufficiently aciurate for the energy range, while for M_H > 100 GeV, the Higgs-involved subprocess can only be investigated at NLC, and then the QCD correction becomes as large as 45%. For M_H > 2mt, considering the subprocess e⁺e^-→ZH→Ztt, the QCD corrections are also important and must be taken into account for the cross section evaluation.     

NONLINEAR σ-MODEL ON MULTID IMENSI CNAL CURVED SPACE WITH CERTAIN CYLINDRICAL SYMMETRY

A dual transformation is found for a class of nonlinear σ-model defined on a multidimensional curved space with cylindrical symmetry. The system is invariant under a proper combination of the dual transformation and the general coordinate transformation. An infinite number of nonlocal conservation laws as well as the Kac-Moody algebra follow directly from the dual transformation. A Backlund transformation that qenerates new solutions from a given. one can also be constructed.     

基于4A"势能面研究C(3P)+NO(X2Π)→CO(X1Σ+)+N(4S)反应的立体动力学性质

运用准经典轨线方法(QCT), 基于Abrahamsson等构造的⁴A"势能面(Abrahamsson E Andersson S, Nyman G, Markovic N 2008 Phys. Chem. Chem. Phys. 10 4400), 在碰撞能为0.06 eV时, 对C(³P)+NO(X²Π )→CO(X¹Σ⁺)+N(⁴S)反应立体动力学性质进行了理论研究. 在考虑反应物NO转动和振动激发的条件下, 计算了质心坐标系下k-j'矢量(k与j'分别为反应物速度与产物角动量)相关的P(θ_r)分布和k-k'-j'矢量(k'为产物相对速度)相关的P(φ_r)分布. 此外还计算了该反应的三个极化微分截面(2π/σ)(dσ₀₀/dω_t), (2π/σ)(dσ₂₀/dω_t)以及(2π/σ)(dσ₂₂+dω_t). 计算结果表明转动和振动激发对产物取向影响较大而对定向影响较小; 对于三个极化微分截面, 转动激发的影响不大, 而振动激发的影响则较大.     

σ-ω Mixing for the Collective Excitation Spectra of σ, ω Mesons in Nuclear Matter

We study σ-ω mixing on the σ and ω propagators in two ways. The collective excitation spectra of σ,ω mesons are calculated by using these propagators. We find that the two ways of σ-ω mixing give very similar collective excitation spectra in the time-like region.     

关于海森堡反铁磁链材料LiVGe2O6有限温度相变的理论研究

自旋s=1的海森堡反铁磁链材料LiVGe₂O₆的磁化率以及 核磁共振实验表明该材料在临界温度约为22 K时由顺磁相转变为反铁磁Néel相, 且低温磁激发谱存在能隙. 本文在已有模型哈密顿量的基础上提出了一个低能场论模型——Ginzburg-Landau理论来描述 这一反铁磁链材料, 并运用这一理论讨论了LiVGe₂O₆由于自发对称性破缺导致的有限温度相变及 相应的磁化率变化情况, 理论计算很好地解释了现有的实验结果. 关键词： 海森堡模型 σ模型')" href="#">O(3)非线性σ模型 有限温度相变     

A New CKP Hierarchy with Two Generalized Time Series and ItsReduction

A new C-type subhierarchy for KP hierarchy with two new time series γ_n and σ_k ((γ_n,σ_k)-CKPH), which consists of γ_n-flow,σ_k-flow and mixed γ_n and σ_kevolution equations of eigenfunctions, is proposed. The zero-curvature representation for the (γ_n,σ_k)-CKPH is derived. The reduction and constrained flows of (γ_n,σ_k)-CKPH are studied.     

(3 + 1)-Dimensional Integrable Models Possessing Infinite Dimensional Virasoro-Type Symmetry Algebra

Using a series of concrfte reGzations of the centerless Virasoro-type symmetry algebra [σ(ƒ₂(t), σ(ƒ₁(t))] = σ(ƒ₁ƒ₂ - ƒ₂ƒ₁), various (3+1)-dimensional integrable equations under the condition that they possess Kac-Moody-Virasoro-type infinite dimensional symmetry algebra are obtained.     

Revisiting the Twist-3 Distribution Amplitudes of K Meson Within the QCD Background Field Approach

In the present paper, we investigate the kaon twist-3 distribution amplitudes (DAs) φ_p,σ^K within the QCD background field approach. The SU_f(3)-breaking effects are studied in detail under a systematical way, especially the sum rules for the moments of φ_p,σ^K are obtained by keeping all the mass terms in the s-quark propagator consistently. After adding all the uncertainties in quadrature, the first two Gegenbauler moments of φ_p,σ^K are a_K,p¹ (1 GeV) = -0.376_-0.148^+0.103, a_K,p²(1 GeV) = 0.701_-0.491^+0.481, a_K,σ¹ (1 GeV) = -0.160_-0.074^+0.051, and a_K,σ²(1 GeV) = 0.369_-0.149^+0.163, respectively. Their normalization parameters μ_K^p|1 m GeV = 1.188_-0.043^+0.039 GeV and μ_K^σ|1 m GeV = 1.021_-0.055^+0.036 GeV. A detailed discussion on the properties of φ_p,σ^K moments shows that the higher-order s-quark mass terms can indeed provide sizable contributions. Furthermore, based on the newly obtained moments, a model for the kaon twist-3 wavefunction Ψ_p,σ^K(x,k⊥) with a better end-point behavior is constructed, which shall be useful for perturbative QCD calculations. As a byproduct, we make a discussion on the properties of the pion twist-3 DAs.     

Influence of Density-Dependent Coupling Constants on Equation of State of Infinite Symmetric Nuclear Matter

In the mean field approximation of nonlinear relativistic σ-ω-ρ model, we have studied the influence of density-dependent coupling constants between nucleons and mesons on the equation of state (EOS) of infinite symmetric nuclear matter in different conditions. We find that the EOS of nuclear matter will become stiffer as c, d in the self-interaction of σ meson increase when the coefficients except a_ω in Γ_ω, in which the opposite occurs, are fixed. On the other hand, greater values of a_σ, b_σ, c_σ, a_ω, d_ω and smaller values of d_σ, b_ω, c_ω will lead to stiffer EOS if c and d are fixed. Besides, greater values of Γ _σ,ω lead to stiffer EOS in high density region for the EOS with same incompressibility coefficient at saturation density.     

O_2分子B~3Σ_u~-态势能曲线的从头计算

B~3Σ_u~-态是O_2的最强的三重跃迁(B~3Σ_u~-←XΣ_g~-)Schumann-Runge(SR)带的上态,SR吸收带在保护地球、阻止紫外辐射等方面起着关键作用.SR连续带的光解离是平流层O原子及O_3的主要来源,掌握详细准确的O_2分子的电子态势能曲线,有助于对这些光谱现象的深入理解.本文通过MOLPRO软件,采用包含Davison修正的内收缩的多参考组态相互作用(ic MRCI+Q)方法,对O2的B~3Σ_u~-态的势能曲线进行了计算,采用的多参考组态函数来自完全活性空间自洽场计算.首先,采用共价组态构成多参考组态,对和B~3Σ_u~-态对称性相同的四个态进行了态平均计算,发现B3Σ_u~-态不存在双势阱结构,文献(Spectrochimica Acta Part A:Molecular and Biomolecular Spectroscopy 2014 124 216)中双势阱的产生是根的振荡(root flipping)造成的,即B~3Σ_u~-态的势能曲线在核间距约为0.2 nm处跳变到能量相近的23?态的势能曲线上.本文中的态平均计算避免了这种根的振荡.接着,采用完全活性空间组态相互作用的方法计算B~3Σ_u~-态的势能曲线,通过改变活性空间的轨道组成,发现带有2π_u轨道电子布居的里德伯组态对B~3Σ_u~-态的束缚态的特征的出现是必不可少的.最后,通过将2π_u轨道加入到活性空间中,实现将相关的里德伯组态加入到多参考组态,对B~3Σ_u~-态的势能曲线进行了icMRCI+Q计算,得到相较于以往的理论计算与实验值更加相近的势能曲线以及光谱常数.本文探讨里德伯组态贡献的过程为如何确定多参考组态相互作用计算中的参考组态、提高理论计算的准确度提供了可以借鉴的途径.     

Alternating-current relaxation of a rotating metallic particle

Based on a first-principles approach,we establish an alternating-current(AC) relaxation theory for a rotating metallic particle with complex dielectric constant ε_α=ε_α-iσ_α/ω_0.Here εα is the real part,σ_α the conductivity,ω_0 the angular frequency of an AC electric field,and i=-1~(1/2).Our theory yields an accurate interparticle force,which is in good agreement with the existing experiment.The agreement helps to show that the relaxations of two kinds of charges,namely,surface polarized charges(described by ε_α) and free charges(corresponding to σ_α),contribute to the unusually large reduction in the attracting interparticle force.This theory can be adopted to determine the relaxation time of dynamic particles in various fields.     

M-Theory Inspired Low Energy Phenomenology

In both the scalar quasi-massless SUSY breaking scenario and dilaton-dominant SUSY breaking scenario, we analyze experimental constraints to the parameter space in M theory compactified on S¹/Z₂. The sparticle spectrum and some phenomenological predictions are given.     

Tuning of magnetic properties of aluminium-doped strontium hexaferrite powders

M-type Al-doped strontium ferrite powders(Sr Alx Fe_(2n-x) O_(19), n = 5.9) with nominal Al content of x = 0–2.0 are prepared by traditional ceramic technology. The phase identification of the powders, performed using x-ray diffraction,shows the presence of purity hexaferrite structure and absence of any secondary phase. The lattice parameters decrease with increasing x. The average grain size of the powders is about 300 nm–400 nm at Al~(3+)ion content x = 0–2.0. The roomtemperature hysteresis loops of the powders, measured by using vibrating sample magnetometer, show that the specific saturation magnetization(σ_s) value continuously decreases while the coercivity(Hc) value increases with increasing x, and Hc reaches to 9759 Oe(1 Oe = 79.5775 A/m) at x = 2.0. According to the law of approach saturation, Hc value increases with increasing Al~(3+)ion content, which is attributed to the saturation magnetization(Ms) decreasing more rapidly than the magnetic anisotropy constant(K_1) obtained by numerical fitting of the hysteresis loops. The distribution of Al~(3+)ions in the hexaferrite structure of Sr Alx Fe_(2n-x) O_(19) is investigated by using 57 Co Mssbauer spectroscopy. The effect of Al~(3+)doping on static magnetic properties contributes to the improvement of magnetic anisotropy field.     

Universal Associated Legendre Polynomials and Some Useful Definite Integrals

We first introduce the universal associated Legendre polynomials, which are occurred in studying the non-central fields such as the single ring-shaped potential and then present definite integrals I_A^±(a, τ)=∫_-1⁺¹x^a[P_l'^m'(x)]²/(1±x)^τdx, a=0, 1, 2, 3, 4, 5, 6, τ=1, 2, 3, I_B(b, σ)=∫_-1⁺¹x^b[P_l'^m'(x)]²/(1- x²)^σdx, b=0, 2, 4, 6, 8, σ=1, 2, 3, and I_C^±(c, κ)=∫_-1⁺¹x^c[P_l'^m'(x)]²/[(1-x²)^κ(1±x)]dx, c=0, 1, 2, 3, 4, 5, 6, 7, 8, κ=1, 2. The superindices “±” in I_A^±(a, τ) and I_C^±(c, κ) correspond to those of the factor (1±x) involved in weight functions. The formulas obtained in this work and also those for integer quantum numbers l' and m' are very useful and unavailable in classic handbooks.     

Renormalizations and Operator Expansion in σ-Model

The operator expansion (OPE) is studied for the Green function n(0) n(x)) at x² → 0 (n(x) is the dynamical field of σ-model) in the framework of the two-dimensional σ-model with the O(N) symmetry group at large N. As a preliminary step we formulate the ronormalization scheme which permits introduction of an arbitrary intermediate scale μ² in the framework of 1/N expansion and discuss factorization (separation) of small (p < μ ) and large (p > μ ) momentum region. It is shown that definition of composite local operators and coefficient functions figuring in OPE is unambiguous only in the leading order in 1/N expansion when dominant are the solutions with exrtemum of action. Corrections of order f(μ²)/N (here /(μ²) is the effective interaction constant at the point μ²) in composite operators and coefficient functions essentially depend on factorization method of high and low momentum regions. It is shown also that contributions to the power corrections of order m²x²/(μ²)/N in the Green function (here m is the dynamical mass-scale factor in σ-model) arise simultaneously from two sources: from the mean vacuum value of the composite operator n ∂²n and from the hard particle contributions in the coefficient function of unite operator. Due to the analogy between σ-model and QCD the obtained result indicates theoretical limitations to the sum rule method in QCD.     

Minimal SUSY SO(10), b–τ unification and large neutrino mixings

We show that the assumption of type II seesaw mechanism for small neutrino masses coupled with b–τ mass unification in a minimal SUSY SO(10) model leads not only to a natural understanding of large atmospheric mixing angle (θ₂₃) among neutrinos, as recently noted, but also to large solar angle (θ₁₂) and a small θ₁₃≡U_e3 as required to fit observations. No additional symmetries are required to obtain large neutrino mixings. The proposed long baseline neutrino experiments will provide a crucial test of this model since it predicts U_e30.16.     

Pion and σ-meson Properties in a Strong Magnetic Field

With the Nambu-Jona-Lasinio (NJL) model we calculate the properties of pion and σ-meson at finite temperature and finite magnetic field. The obtained temperature and magnetic field strength dependence of the constituent quark mass M, the pion and σ-meson masses and the neutral pion decay constant indicates that, in the simple four fermion interaction model, there exists the magnetic catalysis effect. It also shows that the Gell-Mann-Oakes-Renner relation is violated obviously with the increasing of the temperature, and the effect of the magnetic field becomes pronounced only around the critical temperature. The deviation of the critical temperatures obtained with different criteria indicates that the chiral phase transition driven by the temperature in the magnetic field strength region we have considered is in fact a crossover.