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Phys. Rev. Lett. 74, 228–230 (1995)

Low-Energy Theorem for Scalar and Vector Interactions of a Composite Spin-½ System

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S. J. Wallace1, Franz Gross2,3, and J. A. Tjon4
1Department of Physics and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742
2Department of Physics, College of William and Mary, Williamsburg, Virginia 23185
3Continuous Electron Beam Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606
4Institute for Theoretical Physics, University of Utrecht, 3508 TA Utrecht, The Netherlands

Received 27 July 1994; published in the issue dated 9 January 1995

Scalar and vector interactions, with the scalar interaction coupled to a composite spin-½ 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 suggests a justification for the use of the Dirac equation as it has been used in relativistic nuclear scattering and mean field theories.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.228
DOI:
10.1103/PhysRevLett.74.228
PACS:
24.10.Jv