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.
Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
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abstract
We discuss in this paper the subleading contact interactions, or counterterms, in the 3P0 channel of nucleon-nucleon scattering up to O(Q^3), where, already at leading order, Weinberg's original power counting (WPC) scheme fails to fulfill renormalization group invariance due to the singular attraction of one-pion exchange. Treating the subleading interactions as perturbations and using renormalization group invariance as the criterion, we investigate whether WPC, although missing the leading order, could prescribe correct subleading counterterms. We find that the answer is negative and, instead, that the structure of counterterms agrees with a modified version of naive dimensional analysis. Using 3P0 as an example, we also study the cutoffs where the subleading potential can be iterated together with the leading one.
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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.
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Bootstrapping Two-Nucleon Effective Field Theories
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.
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Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
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.