A Relativistic Coupled-Channel Formalism for Electromagnetic Form Factors of 2-Body Bound States

We discuss a Poincaré invariant coupled-channel formalism which is based on the point-form of relativistic quantum mechanics. Electromagnetic scattering of an electron by a 2-body bound state is treated as a 2-channel problem for a Bakamjian-Thomas-type mass operator. In this way retardation effects...

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Bibliographic Details
Published inFew-body systems Vol. 50; no. 1-4; pp. 435 - 437
Main Authors Biernat, E. P., Klink, W. H., Schweiger, W.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.05.2011
Springer Nature B.V
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Summary:We discuss a Poincaré invariant coupled-channel formalism which is based on the point-form of relativistic quantum mechanics. Electromagnetic scattering of an electron by a 2-body bound state is treated as a 2-channel problem for a Bakamjian-Thomas-type mass operator. In this way retardation effects in the photon-exchange interaction are fully taken into account. The electromagnetic current of the 2-body bound state is then extracted from the one-photon-exchange optical potential. As an application we calculate electromagnetic pion and deuteron form factors. Wrong cluster properties, inherent in the Bakamjian-Thomas framework, are seen to cause spurious (unphysical) contributions in the current. These are separated and eliminated in an unambiguous way such that one is left with a current that has all the desired properties.
ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-010-0180-y