用Spinless Salpeter方程求解超对称束缚态质谱

超对称理论（SUSY）是TeV能级以上新物理的一种备受关注的可能理论框架.在该理论中,预言了超对称伴粒子的存在.其中,超对称粒子-最轻标量轻子τ1的寿命可能比较长,有可能与其他粒子形成超对称束缚态.采用Spinless Salpeter方程来描述超对称束缚态.Spinless Salpeter方程是Bethe-Salpeter方程的一种很好的近似,是Schrodinger方程的相对论推广.一般情况,Spinless Salpeter方程没有解析解,所以用数值方法求解Spinless Salpeter方程得到超对称束缚态τe,τμ,τp（或它们的反粒子）的质谱（或者束缚能）.

Spinless Excitons Implicit in SO(5) Theory

A pair of up-down operators are constructed explicitly for S.C.Zhang's SO(5) theory of high Tc superconductivity.From them two good quantum numbers are derived.The up-down operators are related to the spin-independent excitons which are not considered before.

A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential

By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter （SS） equation with the Woods-Saxon interaction potential for an arbitrary/-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied： the approximated SchrSdinger- Woods-Saxon problem for an arbitrary/-state and the exact s-wave （l=0）.

Semi-Relativistic Reflection and Transmission Coefficients for Two Spinless Particles Separated by a Rectangular-Shaped Potential Barrier

A generalized Schr¨odinger approximation,due to Ikhdair & Sever,of the semi-relativistic two-body problem with a rectangular barrier in(1+1) dimensions is compared with exact computations.Exact and approximate transmission and reflection coefficients are obtained in terms of local wave numbers.The approximate transmission and reflection coefficients turn out to be surprisingly accurate in an energy range |∈-V0| < 2μc^2,where μ is the reduced mass,∈ the scattering energy,and V_0 the barrier top energy.The approximate wave numbers are less accurate.

Exact solutions of the Spinless-Salpeter equation under Kink-Like potential

The exact solution of Spinless-Salpeter equation （SSE） in the presence of Kink-Like potential is in-vestigated. By using the basic concepts of the supersyrnmetric quantum mechanics （SUSYQM） formalism and the functional analysis method, we have obtained the bound state solutions in the closed form and the eigenfunctions of the system are reported in the term of hypergeometric function. We have also reported some numerical results.

Two-body Spinless Salpeter equation for the Woods-Saxon potential

The two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the super- symmetry quantum mechanics （SUSYQM）. In our calculations, we have applied an approximation to the centrifugal barrier. Energy eigenvalues and the corresponding eigenfunctions are computed for various values of quantum numbers n, I.

The Yukawa potential in semirelativistic formulation via supersymmetry quantum mechanics

We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation （SSE） with the Yukawa potential via the supersymmetric quantum mechanics （SUSYQM） for arbitrary quantum numbers. Useful figures and tables are also included.

辐射宇宙弦引力场中试验粒子的运动

本文研究了一个无自旋的粒子能柱对称引力场中的运动方程．特别地，分别计算了粒子的动能和角动量．结果表明：（ｌ）如果粒子沿弦方向的初速度不为零，则弦的辐射性质使得粒子在此方向的动能总是增加的；（２）粒子绕弦运动的角动量也总是随时间增加的．这为星系旋转的起源提供了一种可能的解释．

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.

Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach

In this paper we have solved the two-body spinless-Salpeter（SS） equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy eigenvalues and the corresponding eigenfunctions are reported by using the Laplace transform approach for any n, states.