Ab initio chiral EFT calculations of parity-violating asymmetries for 48Ca and 208Pb show mild tension with data and infer a neutron skin of 0.187(25)(18) fm for 208Pb.
Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
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abstract
We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory up to next-to-next-to-next-to-leading order, to extract the pertinent low-energy constants including a comprehensive analysis of systematic uncertainties and correlations. We study the convergence of the chiral series by investigating the chiral expansion of threshold parameters up to the same order and discuss the role of the \Delta(1232) resonance in this context. Results for the low-energy constants are also presented in the counting scheme usually applied in chiral nuclear effective field theory, where they serve as crucial input to determine the long-range part of the nucleon-nucleon potential as well as three-nucleon forces.
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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.
Pion-induced QED radiative corrections in inverse beta decay are small, at or below nucleon form factor uncertainties, enabling sub-permille theoretical precision for charged-current neutrino-nucleon scattering above 10 MeV.
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.
citing papers explorer
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Ab initio calculations of parity-violating electron scattering off $^{48}$Ca and $^{208}$Pb
Ab initio chiral EFT calculations of parity-violating asymmetries for 48Ca and 208Pb show mild tension with data and infer a neutron skin of 0.187(25)(18) fm for 208Pb.
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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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QED radiative corrections in inverse beta decay from virtual pions
Pion-induced QED radiative corrections in inverse beta decay are small, at or below nucleon form factor uncertainties, enabling sub-permille theoretical precision for charged-current neutrino-nucleon scattering above 10 MeV.
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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.