Relativistic two-body equation based on the extension of the SL(2,C) group

A new approach to the two-body problem based on the extension of the SL(2,C) group to the Sp(4,C) one is developed. The wave equation with various forms of including the interaction for the system of the spin-1/2 and spin-0 particles is constructed. For this system, it was found that the wave equati...

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Bibliographic Details
Published inPhysics letters. B Vol. 644; no. 5-6; pp. 311 - 314
Main Authors Kulikov, D.A., Tutik, R.S., Yaroshenko, A.P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 25.01.2007
Elsevier Science
Subjects
Confinement potential
Exact sciences and technology
Nuclear physics
Physics
Relativistic oscillator
Symplectic group
The physics of elementary particles and fields
Two-body problem
Two-body problem
Relativistic oscillator
03.65.Sq
Confinement potential
03.65.Pm
Symplectic group
11.30.Cp
Oscillators
Wave equations
Exact solution
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Summary:A new approach to the two-body problem based on the extension of the SL(2,C) group to the Sp(4,C) one is developed. The wave equation with various forms of including the interaction for the system of the spin-1/2 and spin-0 particles is constructed. For this system, it was found that the wave equation with a linear confinement potential involved in the non-minimal manner has an oscillator-like form and possesses the exact solution.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2006.11.068