An approximate solution of Dirac-Hulthén problem with pseudospin and spin symmetry for any κ state

An approximate solution of Dirac-Hulthén problem with pseudospin and spin symmetry for any κ state
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DOI:
10.1063/1.2768436
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发表时间:
2007-08
影响因子:
1.3
通讯作者:
A. Soylu;O. Bayrak;I. Boztosun
A. Soylu;O. Bayrak;I. Boztosun
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
A. Soylu;O. Bayrak;I. Boztosun

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对于任意自旋-轨道量子数κ,在自旋对称Δ(r)=C=const和伪自旋对称Σ(r)=C=const的情况下,应用自旋-轨道耦合势的近似,给出了Hulthen势的Dirac方程解析解。以封闭形式得到了束缚态能量特征值和相应的旋量。
For any spin-orbit quantum number κ, the analytical solutions of the Dirac equation are presented for the Hulthen potential by applying an approximation to spin-orbit coupling potential for the case of spin symmetry, Δ(r)=C=const, and pseudospin symmetry Σ(r)=C=const. The bound state energy eigenvalues and the corresponding spinors are obtained in the closed forms.