A momentum subtraction scheme for two--nucleon effective field theory

Iain W. Stewart; Thomas Mehen

A momentum subtraction scheme for two--nucleon effective field theory

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arxiv nucl-th/9809071 v1 pith:GAWMRWZK submitted 1998-09-22 nucl-th hep-ph

Thomas Mehen , Iain W. Stewart This is my paper

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keywords schemesubtractionmomentumpowercohencommentconcludeconstants

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abstract

We introduce a momentum subtraction scheme which obeys the power counting of Kaplan, Savage, and Wise (KSW), developed for systems with large scattering lengths, $a$. Unlike the power divergence subtraction scheme, coupling constants in this scheme obey the KSW scaling for all $\mu_R > 1/a$. We comment on the low-energy theorems derived by Cohen and Hansen. We conclude that there is no obstruction to using perturbative pions for momenta $p>m_\pi$.

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