The bound and scattering states of relativistic spinless particles with screened Kratzer potential were investigated using the modified factorization method. We employed the Greene–Aldrich approximation scheme and a coordinate transformation to obtain the approximate bound state energy eigenvalues in terms of the hypergeometric function, bound state eigenfunction, scattering state energy relation and scattering phase shift, respectively. The analytical and numerical results were presented. The effects of the potential parameters on the bound state energy eigenvalues and the scattering phase shift were discussed extensively and graphically. Our results promise to be very relevant in many areas of theoretical physics, chemistry, mathematics and engineering.

使用改进的因子分解方法研究了具有筛选的Kratzer势的相对论无纺粒子的束缚和散射状态。我们采用Greene-Aldrich逼近方案和坐标变换来分别从超几何函数，束缚态本征函数，散射态能量关系和散射相移方面获得近似的束缚态能量本征值。给出了分析和数值结果。势能参数对束缚态能量本征值和散射相移的影响已广泛讨论并以图形方式讨论。我们的结果有望在理论物理学，化学，数学和工程学的许多领域中发挥重要作用。