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.
Power counting with one-pion exchange
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Techniques developed for handing inverse-power-law potentials in atomic physics are applied to the tensor one-pion exchange potential to determine the regions in which it can be treated perturbatively. In S-, P- and D-waves the critical values of the relative momentum are less than or of the order of 400 MeV. The RG is then used to determine the power counting for short-range interaction in the presence of this potential. In the P-and D-waves, where there are no low-energy bound or virtual states, these interactions have half-integer RG eigenvalues and are substantially promoted relative to naive expectations. These results are independent of whether the tensor force is attractive or repulsive. In the 3S1 channel the leading term is relevant, but it is demoted by half an order compared to the counting for the effective-range expansion with only a short-range potential. The tensor force can be treated perturbatively in those F-waves and above that do not couple to P- or D-waves. The corresponding power counting is the usual one given by naive dimensional analysis.
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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.
citing papers explorer
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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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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.