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Light-heavy quark-type linear potential models with spin- and pseudospin-symmetric states
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
KTH, School of Engineering Sciences (SCI), Mechanics.
2013 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 46, no 8, 085305- p.Article in journal (Refereed) Published
Abstract [en]

Possible spin- and pseudospin-symmetric states with positive energies of the Dirac equation with linear scalar and vector potentials are investigated. Two exact relativistic spin symmetries of linear quark-type potential models are shown to exist for positive energies. It is known that positive-energy states which still exist in the non-relativistic limit are always of the spin-symmetric type, like those described in the Schrodinger framework. However, if significant relativistic corrections to the Schrodinger theory are considered and also different possible signs of vector and scalar potentials, there exist two exact spin symmetries: a spin- symmetric energy spectrum that tends to the previously known spectrum obtained by the Schrodinger theory in the non-relativistic limit, and a pseudospin-symmetric energy spectrum that does not. The exact symmetries are perturbed by modifying the strengths of the relativistic linear vector and scalar potentials and introducing a tensor coupling. These perturbations may cancel each other.

Place, publisher, year, edition, pages
2013. Vol. 46, no 8, 085305- p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-119100DOI: 10.1088/1751-8113/46/8/085305ISI: 000314821900015ScopusID: 2-s2.0-84874120871OAI: diva2:611008

QC 20130314

Available from: 2013-03-14 Created: 2013-03-07 Last updated: 2013-03-14Bibliographically approved

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