Do we know how to count powers in pionless and pionful effective field theory?

Abstract

In this article I summarize recent progress in the effective field theory approach to low energy nuclear systems, with a focus on the power counting issue. In the pionless sector, where the power counting is quite well understood at the nucleon-nucleon (NN) level, I discuss some recent developments toward few- and many-body calculations. In the pionful sector, I focus on the actively debated issue of power counting in the NN sector and some recent developments toward a model-independent NN interaction. Finally, the scenario that the power counting might depend on the number of particles is discussed.

19 pages, 1 figure. Contributions to the EPJA topical issue: The tower of effective (field) theories and the emergence of nuclear phenomena. Published version

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• Variational Monte Carlo calculations of $\mathbf{A}\le 4$ nuclei with an artificial neural-network correlator ansatz
• What is ab initio in nuclear theory?
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Power counting in chiral effective field theory and nuclear binding
• Nuclei with up to $\mathbf{A}=6$ nucleons with artificial neural network wave functions
• Relativistic effects and three-body interactions in atomic nuclei
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• Inference of the low-energy constants in $\Delta$-full chiral effective field theory including a correlated truncation error
• Bayesian Analysis of $\chi$EFT at Leading Order in a Modified Weinberg Power Counting Approach
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction
• Improved description of light nuclei through chiral effective field theory at leading order
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• A further study on the renormalization group aspect of perturbative corrections
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• A new scheme for isomer pumping and depletion with high-power lasers