Incorporating dimer fields into the effective field theory resolves poles in the C-matrix from the angular momentum barrier, yielding cutoff-insensitive leading-order fits to nucleon-nucleon phase shifts up to the pion threshold.
Renormalization of One-Pion Exchange and Power Counting
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abstract
The renormalization of the chiral nuclear interactions is studied. In leading order, the cutoff dependence is related to the singular tensor interaction of the one-pion exchange potential. In S waves and in higher partial waves where the tensor force is repulsive this cutoff dependence can be absorbed by counterterms expected at that order. In the other partial waves additional contact interactions are necessary. The implications of this finding for the effective-field-theory program in nuclear physics are discussed.
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Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
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Dimer Effective Field Theory
Incorporating dimer fields into the effective field theory resolves poles in the C-matrix from the angular momentum barrier, yielding cutoff-insensitive leading-order fits to nucleon-nucleon phase shifts up to the pion threshold.
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Auxiliary counterterms and their role in effective field theory
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.