Controversial Role of Relativity in the Three-Nucleon System.

Details Controversial Role of Relativity in the Three-Nucleon System. Controversial Role of Relativity in the Three-Nucleon System.

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aps..dnp..ce09s&link_type=abstract

American Physical Society, Division of Nuclear Physics Meeting, October 2-5, 1996, abstract #CE.09

Physics

Nuclear Physics

Scientific paper

For relativistic three-body calculations, essentially two different approaches are in use: field theory and relativistic direct interactions. Results for relativistic corrections of the triton binding energy obtained from the two approaches differ even in their sign. While calculations based upon relativistic quantum field theory report an increase in the triton binding energy of 0.2--0.4 MeV,(F. Sammarruca, D.P. Xu, and R. Machleidt, Phys. Rev. C 46), 1636 (1992); G. Rupp and J.A. Tjon, Phys. Rev. C 45, 2133 (1992). approaches that claim to model so-called `relativistic direct interaction' find a reduction of 0.3 MeV.( J. Carlson et al., Phys. Rev. C 47), 484 (1993); J. L. Forest et al., ibid. 52, 568, 576 (1995). In this contribution, we discuss the origin of such discrepancy. We show that the use of an invariant two-body amplitude, as done in the field-theoretic approach, increases the triton binding energy by about 0.30 MeV. This effect, originating from manifest covariance, is by principal absent in relativistic direct-interaction approaches. Obviously, this explains a large part of the discrepancy. The remaining difference may be simply due to the inadequacy of the q/m expansion applied in Ref. ^2).

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