The Long and Short of Nuclear Effective Field Theory Expansions

Details The Long and Short of Nuclear Effective Field Theory Expansions The Long and Short of Nuclear Effective Field Theory Expansions

1999-05-13

arxiv.org/abs/nucl-th/9905027v3

Phys.Rev. C60 (1999) 064002

Physics

Nuclear Physics

Nuclear Theory

22 pages, 9 figures, references corrected, minor modifications

Scientific paper

10.1103/PhysRevC.60.064002

Nonperturbative effective field theory calculations for NN scattering seem to break down at rather low momenta. By examining several toy models, we clarify how effective field theory expansions can in general be used to properly separate long- and short-range effects. We find that one-pion exchange has a large effect on the scattering phase shift near poles in the amplitude, but otherwise can be treated perturbatively. Analysis of a toy model that reproduces 1S0 NN scattering data rather well suggests that failures of effective field theories for momenta above the pion mass can be due to short-range physics rather than the treatment of pion exchange. We discuss the implications this has for extending the applicability of effective field theories.

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