Quark Mass Dependence of Nucleon Magnetic Moment and Charge Radii

Understanding hadron structure within the framework of QCD is an extremely challenging problem. Our purpose here is to explain the model-independent consequences of the approximated chiral symmetry of QCD for two famous results concerning the quark structure of the nucleon. We show that both the apparent success of the constituent quark model in reproducing the ratio of proton to neutron magnetic moments and the apparent success of the Foldy term in reproducing the observed charge radius of the neutron are coincidental. That is, a relatively small change of the current quark mass would spoil both results.     

天鹅绒阴极产生的强流双脉冲电子束特性

 通过一台2 MeV直线感应型强流电子注入器建立的双脉冲功率源系统,实验研究了天鹅绒阴极产生的相对论性猝发双脉冲强流电子束基本特性,给出了双脉冲电子束的积分发射度、亮度和双脉冲电子束时间分辨包络变化情况。研究结果表明：天鹅绒阴极产生的双脉冲的亮度达到108 A·(m·rad)^-2;实验得到的两个脉冲电子束包络半径不完全一致,这是由于天鹅绒阴极在发射电子束过程中产生的阴极等离子体对真空二极管的影响程度不同所导致的。     

Molecular weight distribution formed during free‐radical polymerization in the presence of polyfunctional chain transfer agents

Free‐radical polymerization of styrene was carried out in the presence of chain transfer agents (CTAs) with functionality, f = 1–4. The size exclusion chromatography (SEC) with an ultraviolet absorption detector (UV) was used to measure the molecular weight distribution (MWD). A Monte Carlo simulation method proposed earlier was used to investigate the experimental results. In this simulation method, one can observe the structure of each polymer molecule directly, and very detailed information can be obtained in a straightforward manner, including the elution curve of SEC. It was found that up to the functionality f = 3, the equal reactivity model that assumes the reactivity of all functional groups in a CTA is equal agrees reasonably well with the experimental results. However, with f = 4, the reactivity of the fourth functional group seems to decrease and the substitution effects may need to be accounted for to fine control the formed branched structure. © 1999 John Wiley & Sons, Inc. J Polym Sci B: Polym Phys 37: 1267–1275, 1999     

关于边数给定图按无符号拉普拉斯谱半径排序的注记

设$k$是正整数, $G$是一个边数给定的简单无向图, 其边数$m\ge 2k$, 最大度$\Delta(G)\le m-k$, 本文给出了图$G$的无符号拉普拉斯谱半径$q(G)$的一个上界. 对边数为$m\ge 8$的两个连通图$G_1$和$G_2$, 利用这个上界我们证明了一个排序定理: 如果$\Delta(G_1)>\Delta(G_2)+1$ 且 $\Delta(G_1)\ge \frac{m}{2}+2$, 那么$q(G_1)>q(G_2)$. 对于不含三角形的图, 我们得到两个更强的结果. 作为上述排序定理的一个应用, 我们完全刻画了无符号拉普拉斯谱半径最大的围长为$c$的$m$边图, 其中$m\ge \max\{ 2c, c+9\}$, 部分解决了陈雯雯等人在[Linear Algebra Appl. 645(2022)123-136]上提出的一个公开问题.     

On Some Properties of the Quaternionic Functional Calculus

In some recent works we have developed a new functional calculus for bounded and unbounded quaternionic operators acting on a quaternionic Banach space. That functional calculus is based on the theory of slice regular functions and on a Cauchy formula which holds for particular domains where the admissible functions have power series expansions. In this paper, we use a new version of the Cauchy formula with slice regular kernel to extend the validity of the quaternionic functional calculus to functions defined on more general domains. Moreover, we show some of the algebraic properties of the quaternionic functional calculus such as the S-spectral radius theorem and the S-spectral mapping theorem. Our functional calculus is also a natural tool to define the semigroup e ^tA when A is a linear quaternionic operator.      

基于任意拟圆的对数导数意义下区域的单叶性内径

研究了对数导数意义下区域的单叶性内径。以任意拟圆为基础,给出了区域对数导数单叶性内径下界的两个公式。此外,根据逼近区域的特征得到了区域的对数导数单叶性内径的另一个下界公式,并由此估计出正多边形的单叶性内径的上界。     

关于随机矩阵Kronecker积的谱半径的不等式

研究了随机矩阵的Kronecker积的数学期望的性质,得到了随机矩阵的Kronecker积的谱半径的几个不等式.     

AWG结构的优化设计

通过分析AWG中心波导倾角特性,优化焦点间距,提出了两个结构约束方程,得出了结构紧凑的AWG设计方法.根据这一方法,可以由一定损耗条件下的最小弯曲半径和接口参数—接口处输入/输出波导间距和最短直波导长度,优化并完全确定其它结构参数,从而得到最小面积的AWG波导结构.最后给出了优化设计实例.     

掺杂元素离子半径对LiMxMn2-xO4（M=Li,Na,Tl）电化学性能的影响

以尿素为络合剂,氢氧化锂、醋酸锰等为原料通过水热反应获得颗粒均匀的尖晶石LiMxMn2-xO4(M=Li,Na,Tl)前驱物,然后将前驱物在600℃～700℃间煅烧4h后获得最终产物。实验主要考察了掺杂元素的离子半径和M-O键离解能对产物LiMxMn2-xO4充放电过程中稳定性的影响,以及煅烧温度对材料形貌与结构的影响。结果表明掺杂元素的离子半径与被取代元素的离子半径越接近则掺杂后的材料越稳定,而M-O键离解能的影响则很小。实验发现LiNa0.02Mn1.98O4的综合性能最佳,该样品在室温0.2C倍率的首次放电容量可以达到107mAh.g-1,且不可逆容量衰减小,电池循环20次后容量只衰减了约2.8%。     

机载激光通信链路中光场二阶特性的分析计算

为了评估大气湍流对机载激光通信系统的影响,理论分析和数值计算了机载激光通信链路中传输光场的二阶特性,包括接收光斑尺寸、光斑偏移量、光束相干半径、光束到达角起伏。计算结果表明:大气湍流对空间激光通信系统的影响主要在低空对流层,并随着机载平台高度的增加而降低。由于受到低空大折射率结构常数的影响,上行链路的接收光斑尺寸、光斑漂移量比下行链路大。下行链路光束到达角抖动比上行链路大,其值为若干rad。提出的模型及计算结果,可以为机载激光通信系统设计及性能评估提供参考。