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Building light nuclei from neutrons, protons, and pions
, 2002
"... In these lectures I first explain, in a rather basic fashion, the construction of effective field theories. I then discuss some recent developments in the application of such theories to two and threenucleon systems. PACS: 21.45.+v, 21.30.Cb, 25.10.+s, 11.10.Gh Key words: effective field theory, f ..."
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In these lectures I first explain, in a rather basic fashion, the construction of effective field theories. I then discuss some recent developments in the application of such theories to two and threenucleon systems. PACS: 21.45.+v, 21.30.Cb, 25.10.+s, 11.10.Gh Key words: effective field theory, fewbody systems, light nuclei, electromagnetic reactions
Removing Pions from TwoNucleon Effective Field Theory
, 1998
"... Twonucleon effective field theory (EFT) beyond momenta of order the pion mass is studied for both cutoff regularization and dimensional regularization with power divergence subtraction (PDS). Models with two mass scales illustrate how effects of longdistance pion physics must be removed from the c ..."
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Twonucleon effective field theory (EFT) beyond momenta of order the pion mass is studied for both cutoff regularization and dimensional regularization with power divergence subtraction (PDS). Models with two mass scales illustrate how effects of longdistance pion physics must be removed from the coefficients that encode shortdistance physics. The modified effective range expansion shows that treating pions perturbatively, as in the PDS power counting, limits the radius of convergence of the EFT. Predictions from both regularization schemes with onepion contributions are compared to data. The breakdown of the effective field theory occurs for momenta of order 300MeV, even using the modified effective range expansion. This behavior is shown to Nucleonnucleon effective field theory (NN EFT) without pions, which applies at low energies, is now well understood. Predictions are made by constructing the most general Lagrangian with nucleon fields only and fixing the coefficients by matching calculated and