Two-Body Local-Momentum Approximation of Spinless Particles Scattered by a (1+1)-D Woods-Saxon Barrier Potential

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 619-625
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/0253-6102/67/6/619

摘要

A local momentum (LM) approxination applicable to semi-relativistic two-body repulsive interactions is presented.It assumes negligible variations in the (vector-type) potential.A Woods-Saxon barrier with a rectangularlike shape is studied in some detail.The LM-approximation gives exact results within the semi-relativistic framework for rectangular barrier interactions in (1+1) dimensions.Further approximations of the local momentum approach leads to the two-body approximation of Ikhdair & Sever,known since the early 90's as the spinless Salpeter equation approximating the Bethe-Salpeter equation.LM-and GS-results indicate significant two-body effects.Results obtained from the (single-mass) Dirac equation are similar for certain two-body mass combinations.