English

Low energy theorem for scalar and vector interactions of a composite spin-1/2 system

Nuclear Theory 2014-11-18 v1

Abstract

Scalar and vector interactions, with the scalar interaction coupled to a composite spin-1/2 system so as to cause a shift of its mass, are shown to obey a low-energy theorem which guarantees that the second order interaction due to z-graphs is the same as for a point Dirac particle. Off-shell and contact interactions appropriate to the composite system cancel and this is verified in a model of a composite fermion. The result provides a justification for the use of the Dirac equation as it has been in relativistic nuclear scattering and mean field theories.

Keywords

Cite

@article{arxiv.nucl-th/9407040,
  title  = {Low energy theorem for scalar and vector interactions of a composite spin-1/2 system},
  author = {S. J. Wallace and Franz Gross and J. A. Tjon},
  journal= {arXiv preprint arXiv:nucl-th/9407040},
  year   = {2014}
}

Comments

4 pages