Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1996-08-29
Phys.Rev.C55:1580-1582,1997
Physics
Nuclear Physics
Nuclear Theory
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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