Power counting of contact-range currents in effective field theory

Physical Review Letters
M Pavón Valderrama, D R Phillips

Abstract

We analyze the power counting of two-body currents in nuclear effective field theories (EFTs). We find that the existence of nonperturbative physics at low energies, which is manifest in the existence of the deuteron and the ^{1}S_{0} NN virtual bound state, combined with the appearance of singular potentials in versions of nuclear EFT that incorporate chiral symmetry, modifies the renormalization-group flow of the couplings associated with contact operators that involve nucleon-nucleon pairs and external fields. The order of these couplings is thereby enhanced with respect to the naive-dimensional-analysis estimate. Consequently, short-range currents enter at a lower order in the chiral EFT than has been appreciated up until now, and their impact on low-energy observables is concomitantly larger. We illustrate the changes in the power counting with a few low-energy processes involving external probes and few-nucleon systems, including electron-deuteron elastic scattering and radiative neutron capture by protons.

References

Jan 15, 2011·Physical Review Letters·L GirlandaM Viviani
Mar 10, 2012·Physical Review Letters·L E MarcucciM Viviani
May 28, 2013·Physical Review Letters·A EkströmS M Wild
May 28, 2013·Physical Review Letters·L E MarcucciM Viviani
Nov 6, 2013·Reports on Progress in Physics·R J Furnstahl, K Hebeler

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Citations

Jan 13, 2018·Physical Review Letters·Jiunn-Wei ChenAchim Schwenk
Feb 27, 2018·Physical Review Letters·M PiarulliR B Wiringa
Jun 5, 2018·Physical Review Letters·Vincenzo CiriglianoUbirajara van Kolck
May 6, 2019·Physical Review Letters·B BazakU van Kolck
May 15, 2021·Physical Review Letters·Vincenzo CiriglianoEmanuele Mereghetti

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