Scattering states of modified PSschl-Teller potential in D-dimension

We present a new approximation scheme for the centrifugal term,and apply this new approach to the Schrdinger equation with the modified Pschl-Teller potential in the D-dimension for arbitrary angular momentum states.The approximate analytical solutions of the scattering states are derived.The normalized wave functions expressed in terms of the hypergeometric functions of the scattering states on the k/2π scale and the calculation formula of the phase shifts are given.The numerical results show that our results are in good agreement with those obtained by using the amplitude-phase method(APM).     

类锂离子(Z=11～20) 1s22s-1s23p的跃迁能和振子强度

用全实加关联方法计算类锂离子(Z=11～20)偶极跃迁1s22s*"2S-1s23p*"2P1/2,3/2的跃迁能.非相对论能量用Rayleigh-Ritz变分法确定,相对论修正和质量极化效应用微扰论计算,还估算了来自量子电动力学效应的修正.得到的计算结果与现有的实验数据符合得很好,我们关于氯的类锂离子(Z=17)1s23p态的精细结构劈裂的计算结果揭示,相应的实验数据明显偏离等电子序列的物理规律.还算了1s22s-1s23p偶极跃迁的振子强度.     

Electromagnetic and weak constraints on the ground state wave functions of C and N

The nuclear wave functions of the A = 13 ground state isodoublet system are analysed by constraining them (within the 1p shell) to fit the best available electromagnetic and weak data. It is found that the wave functions are dominated by only two basis states of the possible five, with a greater degree of configuration mixing than that predicted by Cohen-Kurath. The use of these phenomenological wave functions to study ¹³C(γ, π⁻)¹³N_g.s. at low energies gives better agreement with data than using Cohen-Kurath wave functions but a factor of three enhancement still persists.     

类锂离子(Z=11～20)1s23p-1s2nd(n=6,7)的跃迁能和振子强度

用全实加关联(FCPC)方法计算类锂离予体系(Z=11～20)1s2nd(n=6,7)态的非相对论能量.相对论及质量极化效应对能量的修正用微扰论计算,量子电动力学(QED)修正利用有效核电荷方法估算.在此基础上计算了1s23p-1s2nd(n=6,7)的跃迁能及振子强度,对现有的关于1s2nd(n=6,7)态的精细结构的实验数据的可靠性提出质疑.     

入射电子被中性原子散射过程中的库仑波描述

在前期工作的基础上,给出了有效电荷Zeff的解析形式.研究发现:有效电荷Zeff与入射电子的能量和散射角有关.我们早期工作的一个重要缺陷是:对于初、末通道,分别使用了解析的平面波和库仑波,而现有的波函数与早期工作之间的一个重要差别在于:在初通道,现有的波函数包含有入射电子与中性原子之间的短程相互作用效应,而早期文章则没有这种效应.这里使用的末态波函数与以前是相同的.当入射电子处在有效电荷库仑场的情形下,我们计算了电子入射离化氦原子的三重微分截面,并发现现有的理论计算与实验结果很好的一致.     

硼原(离)子内壳激发高自旋态能级和辐射跃迁

采用Rayleigh-Ritz变分方法计算了B原子(离子)内壳层激发高自旋态(~(4,5,6)L,L=S,P)里德伯系列的能量和精细结构劈裂,利用截断变分方法改进非相对论能量,并利用一阶微扰理论计算了相对论能量修正和质量极化效应修正,利用屏蔽的类氢公式计算了量子电动力学效应和高阶相对论效应,从而得到了高精度的组态能量.利用精确计算的波函数,计算了这些高自旋态的电偶极辐射跃迁波长、振子强度和辐射跃迁概率.通过长度规范和速度规范计算的振子强度的一致性证明了本文计算的波函数是精确的.相比其他理论计算结果,本文计算的高自旋态的能级及跃迁波长数据与实验数据符合得更好.对于一些高位的内壳层激发高自旋态,相关的能级和跃迁数据为首次报道,本文的计算结果对相关实验光谱谱线标定具有重要意义.     

Energies of 1s2ng and 1s2nh (n = 5, 6, 7, and 8) States for Lithium Isoelectronic Sequence

The nonrelativistic energies for lithium isoelectronic sequence 1s²ng and 1s²nh (n=5, 6, 7, and 8) states from Z=3 to 8 are calculated by using a full core plus correlation (FCPC) method with multiconfiguration interaction wave functions. Relativistic and mass-polarization effects on the energy are evaluated as the first-order perturbation theory. Our predicted excitation energies are compared with previous experimental results in the literature.     

Dynamic photoelastic studies of wave propagation in granular media

The optical method of dynamic photoelasticity is used to visualize the load transfer profiles due to explosive loading in granular aggregates. The granular media are simulated by using arrays of disks fabricated from a brittle polyester material—Homalite 100. Attention is focused on the effect of microstructure or the geometrical packing of the grains on the wave propagation phenomena. The experimental data are analyzed to obtain the stress wave attenuation, wave velocities and contact stresses as a function of time along various directions in the assembly of grains. Dynamic load transfer functions are developed to predict dynamic contact loads in any systematic or random assembly of grains for any given loading. The predicted results are compared with the experimental data. The effect of local inhomogeneities on the wave propagation phenomena is also shown.     

He原子电子动量谱学实验结果的理论分析

对作者所在实验室最近完成的Ｈｅ原子电子动量谱学实验结果进行了详细的理论分析。在平面波冲量近似和扭曲波冲量近似下，利用三类典型的Ｈｅ原子基态波函数，对Ｗｅｉｇｏｌｄ几何条件下的（ｅ，２ｅ）反应的三重微分截面进行了计算，并与实验结果作了详细的比较，结果表明Ｌ（１）电子动量谱学是直接获取电子波函数信息的有用方法；（２）平面波冲量近全民族 扭曲波冲量近似得到的电子动量谱形状的差别并不大。     

Eigen spectra and wave functions of the massless Dirac fermions under the nonuniform magnetic fields in graphene

In this research, firstly, by using the new form of Dirac-Weyl equation and the series method with submitting more suitable details, the energy spectrum and wave functions of the massless Dirac fermions are calculated under the inhomogeneous and q-deformed spatially magnetic fields. Although, we discussed about the results of the energy levels, further, we obtained the wave function as the Hessenberg determinant with calculating the elements of it as exact. On the other hand, by using the Mellin-Barnes integral representation and Hurwitz zeta function, we have achieved the thermodynamic physical quantities of the Dirac-Weyl fermions in the absence of a magnetic field for inside of the graphene quantum dot. Finally, our numerical results for the wave functions and probability densities are presented too.     

Scaling laws in high-energy electron-nuclear scattering

The approximate scaling behavior suggested by recent measurements of electron scattering form factors and inelastic structure functions of few-body nuclei (mass 2, 3, 4) is discussed in a relativistic impulse approximation model. The model is a straightforward extension incorporating spin of a nucleon parton model introduced in recent works. We present results for electric and magnetic form factors as well as inelastic structure functions near threshold. The important corrections to scaling which are present in the preasymptotic regions are found to be well accounted for by the type of binding effects included in the phenomenologically constructed infinite-momentum frame nuclear wave functions. While predicted form factors are very sensitive to the parameters in the wave functions it does not appear possible to associate unambiguous dynamical meaning to these parameters. We find that spin effects bring significant and useful corrections.     

Binding energies of impurity states in strained wurtzite GaN/Al_xGa_(1-x)N heterojunctions with finitely thick potential barriers

Ground state binding energies of donor impurities in a strained wurtzite GaN/AlxGal_xN heterojunction with a po- tential barrier of finite thickness are investigated using a variational approach combined with a numerical computation. The built-in electric field due to the spontaneous and piezoelectric polarization, the strain modification due to the lattice mismatch near the interfaces, and the effects of ternary mixed crystals are all taken into account. It is found that the binding energies by using numerical wave functions are obviously greater than those by using variational wave functions when impurities are located in the channel near the interface of a heterojunction. Nevertheless, the binding energies using the former functions are obviously less than using the later functions when impurities are located in the channel far from an interface. The difference between our numerical method and the previous variational method is huge, showing that the former should be adopted in further work for the relevant problems. The binding energies each as a function of hydrostatic pressure are also calculated. But the change is unobvious in comparison with that obtained by the variational method.     

Approximate Solutions of the Schrödinger Equation with the Hyperbolical Potential: Supersymmetric Approach

The bound state solution of the Schrödinger equation with the hyperbolical potential is obtained by using supersymmetric approach. By applying proper approximation scheme to deal with the centrifugal barrier, we obtain the energy eigenvalues and the corresponding wave functions are obtained in terms of generalized hypergeometric functions. Comparison of our computed numerical results with the ones obtained by findings of other methods reveals that supersymmetric approach is reliable, efficient and accurate.     

Quadrupole Oscillator Strengths of Helium Interacting with Debye Potentials

The influence of Debye potentials on the quadrupole oscillator strengths of helium atom is investigated using highly correlated wave functions within a framework of a variational method. The quadrupole oscillator strengths for the ^1,3S–^1,3D, ^1,3P–^1,3P and ^1,3D–^1,3D transitions of He for various screening parameters are reported for the first time in the literature. In free atomic case, our calculated results are in good agreement with the available results.     

Aspects of Entanglement in Quantum Many-Body Systems

Knowledge of the entanglement properties of the wave functions commonly used to describe quantum many-particle systems can enhance our understanding of their correlation structure and provide new insights into quantum phase transitions that are observed experimentally or predicted theoretically. To illustrate this theme, we first examine the bipartite entanglement contained in the wave functions generated by microscopic many-body theory for the transverse Ising model, a system of Pauli spins on a lattice that exhibits an order-disorder magnetic quantum phase transition under variation of the coupling parameter. Results for the single-site entanglement and measures of two-site bipartite entanglement are obtained for optimal wave functions of Jastrow-Hartree type. Second, we address the nature of bipartite and tripartite entanglement of spins in the ground state of the noninteracting Fermi gas, through analysis of its two- and three-fermion reduced density matrices. The presence of genuine tripartite entanglement is established and characterized by implementation of suitable entanglement witnesses and stabilizer operators. We close with a broader discussion of the relationships between the entanglement properties of strongly interacting systems of identical quantum particles and the dynamical and statistical correlations entering their wave functions.     

Direct CP violation in hadronic B decays

There are different approaches for the hadronic B decay calculations, recently. In this paper, we upgrade three of them, namely factorization, QCD factorization and the perturbative QCD approach based on k _T factorization, using new parameters and full wave functions. Although they get similar results for many of the branching ratios, the direct CP asymmetries predicted by them are different, which can be tested by recent experimental measurements of B factories.     

Covariant extension of the GPD overlap representation at low Fock states

We present a novel approach to compute generalized parton distributions within the lightfront wave function overlap framework. We show how to systematically extend generalized parton distributions computed within the DGLAP region to the ERBL one, fulfilling at the same time both the polynomiality and positivity conditions. We exemplify our method using pion lightfront wave functions inspired by recent results of non-perturbative continuum techniques and algebraic nucleon lightfront wave functions. We also test the robustness of our algorithm on reggeized phenomenological parameterizations. This approach paves the way to a better understanding of the nucleon structure from non-perturbative techniques and to a unification of generalized parton distributions and transverse momentum dependent parton distribution functions phenomenology through lightfront wave functions.     

Hyperfine structure constants for Eu isotopes: is the empirical formula of HFS anomaly universal?

We calculate the hyperfine structure constants for the Eu isotopes with shell model wave functions. The calculated results are compared with those predicted by the Moskowitz-Lombardi (M-L) empirical formula. It turns out that the two approaches give very different behaviors of the hfs constants in the isotope dependence. This should be easily measured by experiment, which may lead to the universality check of the M-L formula.     

A partial wave dispersion relation analysis of pion-nucleon scattering amplitudes

Partial wave dispersion relations have been evaluated, using various new πN partial wave solutions and our results for the ππN \(\bar N\) amplitudes. The Karlsruhe-Helsinki 80 and CMU-LBL-79 solution forS, P, D, F waves are well compatible with this constraint, which follows from the Mandelstam representation. The VPI 80 solution leads to serious discrepancies in some cases, for instance for the P11 wave.—In both, the KH 80 and CMU-LBL 79, solutions the higher partial waves are not yet satisfactory. They can be improved by adding constraints based on the information on the nearby part of the left hand cuts.—Properties of nucleon resonances are discussed in connection with our results for the “generalized potentials”.