在巴黎势的波函数中氘核的形状因子A(Q~2)(英文)

在非相对论的框架内和应用描述了高动量过程的巴黎势所产生的氘核的波函数,计算了氘核的电磁形状因子A(Q~2)。A(Q~2)因子化为氘核的结构函数Z(t)和偶极形状G_D(t)之积。结构函数Z(t)是用巴黎势的波函数做数值计算而得到的。对A(Q~2)的预言跟实验数据的分析非常一致,这一对实验结果的成功描述说明:氘核形状因子A(Q~2)这一简单的理论描述是非常成功的,并且可以用到氘核的其他静态性质的研究。     

Ratio of a strange quark mass ms to up or down quark mass mu,d predicted by a quark propagator in the framework of the chiral perturbation theory

Based on the fully dressed quark propagator and chiral perturbation theory, we study the ratio of the strange quark mass ms to up or down quark mass mu,d . The ratio is related to the determination of quark masses which are fundamental input parameters of QCD Lagrangian in the Standard Model of particle physics and can not be directly measured since the quark is confined within a hadron. An accurate determination of these QCD free parameters is extremely important for both phenomenological and theoretical applications. We begin with a brief introduction to the non-perturbation QCD theory, and then study the mass ratio in the framework of the chiral perturbation theory (χPT) with a parameterized fully dressed quark propagator which describes confining fully dressed quark propagation and is analytic everywhere in the finite complex p2-plane and has no Lehmann representation so there are no quark production thresholds in any theoretical calculations of observable data. Our prediction for the ratio ms/mu,d is consistent with other model predictions such as Lattice QCD, instanton model, QCD sum rules and the empirical values used widely in the literature. As a by-product of this study, our theoretical results, together with other predictions of physical quantities that used this quark propagator in our previous publications, clearly show that the parameterized form of the fully dressed quark propagator is an applicable and reliable approximation to the solution of the Dyson-Schwinger Equation of quark propagator in the QCD.     

在QCD中核子的静态性质

基于参数化的完全穿衣服的夸克传播子,利用量子色动力学（QCD）研究了核子的磁矩和电荷半径平方的平均值与夸克动量的依赖关系。预言的核子磁矩和电荷半径的数值与文献中广泛应用的经验值和其他许多具有QCD特征的理论模型所预言的值一致。结果说明了核子的磁矩和电荷半径不是人们通常所理解的一个不变的常数,而是依赖于核子中夸克动量的一个跑动量,对于不同动量它们的值是不同的。计算结果也清楚地表明了所采用的参数化的夸克传播子的适用性和可靠性。     

几何光学中近轴条件引入误差的讨论

几何光学中近轴条件引入误差的讨论彭金松（广西河池师专物理系宜州５４６３００）在几何光学中，所用的成象公式都是在近轴条件下得出来。而近轴条件，在教材中一般是这样描述的，即光线的入射角很小，光线与光轴的夹角也很小。而对于这个条件的引入，到底会带来多少误差...     

在QCD中核子的静态性质

基于参数化的完全穿衣服的夸克传播子,　利用量子色动力学（QCD）研究了核子的磁矩和电荷半径平方的平均值与夸克动量的依赖关系。预言的核子磁矩和电荷半径的数值与文献中广泛应用的经验值和其他许多具有QCD特征的理论模型所预言的值一致。结果说明了核子的磁矩和电荷半径不是人们通常所理解的一个不变的常数,　而是依赖于核子中夸克动量的一个跑动量,　对于不同动量它们的值是不同的。计算结果也清楚地表明了所采用的参数化的夸克传播子的适用性和可靠性。     

在超重核区应用Viola-Seaborg公式研究α衰变寿命

在超重核区(Z≥104)使用文献[7—9]给出的3组参数应用Viola-Seaborg公式计算了α衰变寿命,所得结果与实验值进行比较,发现其结果与实验值相差较大。为此,利用最小二乘法分别在重核区和超重核区重新对参数进行了拟合,得到的计算结果与实验值相比符合得较理想,尤其是由超重核得到的参数的结果非常理想。     

α decay energies and half-lives from a macroscopic-microscopic model

α decay energies of 323 heavy nuclei with Z≥82 are evaluated with a macroscopic-microscopic model. In this model, the macroscopic part is treated by the continuous medium model and the microscopic part consists of shell and pairing corrections based on the Nilsson potential. α decay half-lives are calculated by Viola-Seaborg formula. The results of α decay energies and half-lives are compared with experimental values and satisfactory agreement is found. The recoiling effect of the daughter nucleus on α decay half-life is also discussed.     

在超重核区应用Viola Seaborg公式研究α衰变寿

在超重核区（Z≥104）使用文献[7—9]给出的3组参数应用Viola Seaborg公式计算了α衰变寿命, 所得结果与实验值进行比较, 发现其结果与实验值相差较大。 为此, 利用最小二乘法分别在重核区和超重核区重新对参数进行了拟合, 得到的计算结果与实验值相比符合得较理想, 尤其是由超重核得到的参数的结果非常理想。The α decay half lives of the super heavy nuclei in the mass region （Z≥104） were calculated by Viola Seaborg formula with three sets of parameters. The calculated results show that all the three sets of parameters caused rather large deviations from the experimental data. To solve this problem, we have done a parameter fitting in the regions of heavy nuclei and super heavy nuclei respectively, with the least squares method. With the new sets of parameters, the calculated α decay half lives are in much better agreement with the experimental data. In particular, the results calculated with the new parameters in the region of super heavy nuclei are even better.     

高能π-核散射中夸克自由度的研究

应用夸克 强子混合模型来描述高能π -α粒子的散射 ,夸克部分的参数是由符合π -p弹性散射数据来确定的 ,在此基础上计算了π -α的弹性散射得到了第 1和第 2两个低谷。结果表明 ,夸克自由度在π -核相互作用中起着重要作用 ,尤其在大动量转移区更为重要。     

μ原子的核结构效应

由于μ-子的轨道半径很小,利用它作为探针来研究核的结构具有一定的优势。本文以原子核按电荷均匀分布的球为例,对μ原子的能量作了计算和修正,结果与实验值符合较好。