Chiral EFT predictions at N2LO for the tritium Gamow-Teller matrix element, with parameters fixed from scattering, overestimate the empirical value and indicate large higher-order corrections.
Nuclear axial current operators to fourth order in chiral effective field theory
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abstract
We present the complete derivation of the nuclear axial charge and current operators as well as the pseudoscalar operators to fourth order in the chiral expansion relative to the dominant one-body contribution using the method of unitary transformation. We demonstrate that the unitary ambiguity in the resulting operators can be eliminated by the requirement of renormalizability and by matching of the pion-pole contributions to the nuclear forces. We give expressions for the renormalized single-, two- and three-nucleon contributions to the charge and current operators and pseudoscalar operators including the relevant relativistic corrections. We also verify explicitly the validity of the continuity equation.
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The universality assumption in the Koonin-Pratt formula for femtoscopic correlations introduces potentially large intrinsic uncertainty when extracting strong interactions between hadrons like nucleons.
citing papers explorer
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Challenging chiral EFT with tritium beta decay
Chiral EFT predictions at N2LO for the tritium Gamow-Teller matrix element, with parameters fixed from scattering, overestimate the empirical value and indicate large higher-order corrections.
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Can the strong interactions between hadrons be determined using femtoscopy?
The universality assumption in the Koonin-Pratt formula for femtoscopic correlations introduces potentially large intrinsic uncertainty when extracting strong interactions between hadrons like nucleons.