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Two-Body Local-Momentum Approximation of Spinless Particles Scattered by a (1+1)-D Woods-Saxon Barrier Potential
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2017 (English)In: Communications in Theoretical Physics, ISSN 0253-6102, E-ISSN 1572-9494, Vol. 67, no 6, 619-625 p.Article in journal (Refereed) Published
Abstract [en]

A local momentum (LM) approximation 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 rectangular-like 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.

Place, publisher, year, edition, pages
Institute of Physics Publishing , 2017. Vol. 67, no 6, 619-625 p.
Keyword [en]
barrier transmission, semi-relativistic, two-body effects
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-216473DOI: 10.1088/0253-6102/67/6/619ISI: 000404108300004Scopus ID: 2-s2.0-85021376866OAI: oai:DiVA.org:kth-216473DiVA: diva2:1162030
Note

QC 20171201

Available from: 2017-12-01 Created: 2017-12-01 Last updated: 2017-12-01Bibliographically approved

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Thylwe, Karl-Erik

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