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Dimensional Power Counting in Nuclei
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abstract
Weinberg's dimensional power counting for nuclei is reprised in this primer. The role of QCD and chiral symmetry in constructing effective Lagrangians is discussed. The two-scale hypothesis of Manohar and Georgi is combined with power counting in amplitudes to shed light on the scales of nuclear kinetic and potential energies, the size of strong-interaction coupling constants, the size of meson-exchange currents, and the relative sizes of $N$-nucleon forces. Numerous examples are worked out and compared to conventional nuclear models.
Forward citations
Cited by 2 Pith papers
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From bare two-nucleon interaction to nuclear matter and finite nuclei in a relativistic framework
A leading-order relativistic chiral two-nucleon force, with four constants fit to scattering data, describes nuclear matter saturation and medium-mass nuclei binding energies and radii without three-nucleon forces.
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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.
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