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arxiv: 1202.4053 · v2 · pith:AFV3UCVXnew · submitted 2012-02-18 · ⚛️ nucl-th

Short-range nuclear forces in singlet channels

classification ⚛️ nucl-th
keywords channelscountingpowersingletcountertermsexpansionnuclearamplitude
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Continuing our effort to build a consistent power counting for chiral nuclear effective field theory (EFT), we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with renormalization group invariance as the constraint. We argue that the rather large cutoff error of the leading amplitude requires O(Q) of the EFT expansion to be nonvanishing, contrary to Weinberg's original power counting. This, together with the ultraviolet divergences of two-pion exchanges in the distorted-wave expansion, leads to enhancement of the 1S0 counterterms and results in a pionless-theory-like power counting for the singlet channels.

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Cited by 2 Pith papers

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  1. Bootstrapping Two-Nucleon Effective Field Theories

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    Bootstrap consistency checks show that the NLO chiral EFT potential for the 1S0 two-nucleon wave remains valid over a significantly wider energy range than the LO version when compared to Granada phase shifts.

  2. Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory

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    Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.