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.
How to Renormalize the Schrodinger Equation
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abstract
These lectures illustrate the key ideas of modern renormalization theory and effective field theories in the context of simple nonrelativistic quantum mechanics and the Schr\"odinger equation. They also discuss problems in QED, QCD and nuclear physics for which rigorous potential models can be derived using renormalization techniques. They end with an analysis of nucleon-nucleon scattering based effective theory.
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After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.
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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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Scrutiny of the new class of three-nucleon forces
After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.