Parameterization of the nuclear Hulthén potentials

Within the formalism of supersymmetry-inspired factorization method, a two-term nuclear Hulthén potential has been developed and parameterized to reproduce the nucleon–nucleon scattering phase shifts for P and D partial wave states.     

Optical Potential Calculations of Elastic Collision for Electron Scattering by H2

Differential cross sections for the elastic scattering of the electrons by H2 at 100 and 150 e V have been calculatedand compared with experiments. We use the momentum space method in which the electron-molecule system hasa single centre and the effect of higher reaction channels on electron-molecule elastic scattering is approximatedby an ab initio equivalent-local potential. It is added to the exact static-exchange potential for e-H2 scattering.     

Hulthén off-shell transition matrix for nuclear systems

Exact analytical expression for the Hulthén off-shell Jost solution is constructed by using the particular integral of the inhomogeneous Schrödinger equation. The Jost solution is exploited to calculate the off-shell physical solution and in turn the off-shell T-matrix. The off-shell T-matrices are computed for the (n-p) and (n-d) systems and are found in order with respect to its half-shell behavior.     

2D Pauli Equation with Hulthén Potential in the Presence of Aharonov-Bohm Effect

The 2D Pauli equation with Hulthén potential for spin-1/2 particle in the presence of Aharonov-Bohm (AB) field is solved analytically, on the assumption that an effective approximation is used for the centrifugal term.Singular and regular solutions of the problem are obtained. It is shown that the AB field lifts the degeneracy of the energy levels. The range of the flux parameter for which singular solutions are allowed is modified compared to the pure AB case. When the screening parameter vanishes, it is shown that the obtained energy spectrum becomes the same as that of the Aharonov-Bohm Coulomb problem.     

Two-Body Scattering in(1+1) Dimensions by a Semi-relativistic Formalism and a Hulthén Interaction Potential

Scattering solutions of two-body Spinless Salpeter Equation(SSE) are investigated in the center of mass frame with a repulsive, symmetric Hulth′en potential in one spatial dimension. Transmission and reflection coefficients are calculated and discussed.     

πN Elastic Scattering and Resonances in Quark Potential Model

The quark potential model is used to investigate the low-energy elastic scattering of πN system. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the harmonic oscillator confining potential. By means of the resonating group method, a nonlocal effective potential for the πN system is derived from the interquark potentials and used to calculate the πN elastic scattering phase shifts. By considering the effect of QCD renormalization, the suppression of the spin-orbital coupling and the contribution of the color octet of the clusters （qq） and （qqq）, the numerical results are in fairly good agreement with the experimental data. The same model and method are employed to investigate the possible πN resonances. For this purpose, the resonating group equation is transformed into a standard Schrodinger equation in which the nonlocal effective πN interaction potential is included. Solving the Schrodinger equation by the variational method, we are able to reproduce the masses of some currently concerned πN resonances.     

Approximation of Differential Cross Sections for Elastic Proton–Nucleus Scattering

Physics of Atomic Nuclei - An empirical approximation of differential cross sections for elastic proton–nucleus scattering over a wide energy range and for all target nuclei is proposed. In...     

双环形Hulthén势束缚态的近似解析解

构造了双环形Hulthén势, 用指数函数近似表示任意分波的离心项, 运用函数分析法讨论双环型Hulthén势Schrödinger方程的束缚态解. 归一化的角向波函数和径向波函数用超几何多项式表示, 给出了束缚态能谱, 体系的束缚态的能谱方程和波函数与量子数和势参数有关. 中心势场和单环形势场角向波函数及 Hulthén势束缚态能谱是本文双环形Hulthén势的特例. 关键词： 双环形Hulthén势 任意分波 近似解析解 束缚态     

中能K+核弹性散射光学势参数

采用包含库仑场影响的一级修正的eikonal相移研究了入射动量为715MeV/C的K⁺介子与⁶Li、¹²C核散射及入射动量为800MeV/c的K⁺介子与(12)C、⁴⁰Ca核散射的微分截面,通过理论微分截面与相应实验数据的拟合,得到了最佳光学势参数,为K⁺核散射的微观研究提供一定依据.用得到的光学势计算了相应散射过程的总截面,并与实验值作了比较.     

Relativistic Scattering States of Coulomb Potential Plus a New Ring-Shaped Potential

In this paper, exact solutions of scattering states of the Klein-Gordon equation with Coulomb potential plus a new ring-shaped potential are studied under the condition that the scalar potential is equal to the vector potential. The normalized wave functions of scattering states on the “k/2π scale” and the calculation formula of phase shifts are presented. Analytical properties of the scattering amplitude are discussed.     

Study of nucleon-nucleon and alphanucleon elastic scattering by the Manning-Rosen potential

Although often used in molecular dynamics, in this work the Manning–Rosen potential is parameterized to compute the scattering phase shifts for the nucleon–nucleon and the alpha-nucleon systems by exploiting the standard phase function method. We obtain excellent agreement in phase shifts with the more sophisticated calculations up to partial waves ${\ell }=2.$     

Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthén potentials for nonzero angular momentum

In this paper, using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthén potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of t-waves scattering states are presented. The normalized wave functions expressed in terms of hypergeometric functions of scattering states on the “k/2π scale” and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solution is discussed.      

Charge Dependency of Strong Nuclear Force via Phase Shift Analysis of Nucleon-Nucleon Potential

Using the most recent phase shift data for pp, nn, and np elastic scattering for different states (l=0,1,…) in the energy range of 1 MeV to 350 MeV, the charge dependency of the strong nuclear force is investigated. Our results indicate that although the charge independency holds in most of the energy range, such charge independency is broken in the particular energy range of 120 MeV to 200 MeV for all partial wave states considered here.     

Elastic Scattering of CH4 by Electron Impact

In this work we present a theoretical study on electrons scattering by CH4 in the intermediate energy range. More specifically, we report integral and differential cross sections for electron scattering by CH4 in the （10 - 300） eV range by the Schwinger multichannel method using plane waves as a trial basis set （SMC-PW）. To include exchange effects we have used the Born-Ochkur model. Our aim is to study the numerical stability of the cross sections and our calculated results compared with experimental data and theoretical studies are encouraging.