A novel algebraic approach to spin symmetry for Dirac equation with scalar and vector second Poschl-Teller potentials

被引：76

作者：

Wei, Gao-Feng ^{[1
]}

Dong, Shi-Hai ^{[2
]}

机构：

[1] Xian Univ Arts & Sci, Dept Phys, Xian 710065, Peoples R China

[2] Inst Politecn Nacl, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico

来源：

EUROPEAN PHYSICAL JOURNAL A | 2010年 / 43卷 / 02期

关键词：

ORBIT-COUPLING TERM; PSEUDOSPIN SYMMETRY; STATE;

D O I：

10.1140/epja/i2009-10901-8

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

By a novel algebraic method we study the approximate solution to the Dirac equation with scalar and vector second Poschl-Teller potential carrying spin symmetry. The transcendental energy equation and spinor wave functions with arbitrary spin-orbit coupling quantum number k are presented. It is found that there exist only positive-energy bound states in the case of spin symmetry. Also, the energy eigenvalue approaches a constant when the potential parameter alpha goes to zero. The equally scalar and vector case is studied briefly.

引用

页码：185 / 190

页数：6

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