AN APPROXIMATE SOLUTION OF THE DIRAC EQUATION FOR HYPERBOLIC SCALAR AND VECTOR POTENTIALS AND A COULOMB TENSOR INTERACTION BY SUSYQM

被引：78

作者：

Hassanabadi, H. ^{[1
]}

Maghsoodi, E. ^{[1
]}

Zarrinkamar, S. ^{[2
]}

Rahimov, H. ^{[3
]}

机构：

[1] Shahrood Univ Technol, Dept Phys, Shahrood, Iran

[2] Islamic Azad Univ, Garmsar Branch, Young Researchers Club, Garmsar, Iran

[3] Shahrood Univ Technol, Dept Comp Engn, Shahrood, Iran

来源：

MODERN PHYSICS LETTERS A | 2011年 / 26卷 / 36期

关键词：

Dirac equation; spin symmetry; pseudospin symmetry; tensor potential; PSEUDOSPIN SYMMETRY; SUPERSYMMETRY; STATES; SPIN;

D O I：

10.1142/S0217732311037091

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Based on the significant role of spin and pseudospin symmetries in hadron spectroscopy, we have investigated Dirac equation under scalar and vector potentials of cotangent hyperbolic form besides a Coulomb tensor interaction via an approximate analytical scheme. The considered potential for small potential parameter resembles the well-established Kratzer potential. In addition, we see how the tensor term removes the degeneracy of doublets. After an acceptable approximation, namely a Pekeris-type one, we see that the problem is simply solved via the quantum mechanical idea of supersymmetry without having to deal with the cumbersome, complicated and time-consuming numerical programming.

引用

页码：2703 / 2718

页数：16

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