Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method
Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method
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DOI：
10.1088/1674-1056/23/12/120304
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发表时间：
2014-10
影响因子：
1.7
通讯作者：
M. Eshghi;S. Ikhdair
中科院分区：
文献类型：
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作者：
M. Eshghi;S. Ikhdair
研究了自旋为1/2粒子的相对论Mie型势。狄拉克哈密顿量包含一个标量S（r）和一个径向坐标下的矢量V（r）Mie型势，以及一个库仑形式的张量势U（r）。在赝自旋（p-自旋）对称性设置下，得到了相应Dirac方程的精确束缚态的解析解，给出了本征能和归一化波函数，并讨论了任意自旋轨道耦合数κ的特殊情况.特别注意的情况下，π = 0的p-自旋对称性是准确的。在我们的计算中使用了拉普拉斯变换方法（LTA）。得到了一些数值结果，并与其他方法的结果进行了比较。
A relativistic Mie-type potential for spin-1/2 particles is studied. The Dirac Hamiltonian contains a scalar S(r) and a vector V(r) Mie-type potential in the radial coordinates, as well as a tensor potential U(r) in the form of Coulomb potential. In the pseudospin (p-spin) symmetry setting Σ = Cps and Δ = V(r), an analytical solution for exact bound states of the corresponding Dirac equation is found. The eigenenergies and normalized wave functions are presented and particular cases are discussed with any arbitrary spin—orbit coupling number κ. Special attention is devoted to the case Σ = 0 for which p-spin symmetry is exact. The Laplace transform approach (LTA) is used in our calculations. Some numerical results are obtained and compared with those of other methods.