Local gauge invariance implies Siegert's hypothesis

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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5 pages, REVTEX

Scientific paper

10.1103/PhysRevC.55.1580

The nonrelativistic Ward-Takahashi identity, a consequence of local gauge invariance in quantum mechanics, shows the necessity of exchange current contributions in case of nonlocal and/or isospin-dependent potentials. It also implies Siegert's hypothesis: in the nonrelativistic limit, two-body charge densities identically vanish. Neither current conservation, which follows from global gauge invariance, nor the constraints of (lowest order) relativity are sufficient to arrive at this result. Furthermore, a low-energy theorem for exchange contributions is established.

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