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.
Electromagnetic two-body currents of one- and two-pion range
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Nuclear electromagnetic currents are derived in time-ordered perturbation theory within an effective-field-theory framework including explicit nucleons, $\Delta$ isobars, and pions up to one loop, or N$^3$LO. The currents obtained at N$^2$LO, {\it i.e.} ignoring loop corrections, are used in a study of neutron radiative captures on protons and deuterons at thermal energies, and of $A$=2 and 3 nuclei magnetic moments. The wave functions for $A$=2 are derived from solutions of the Schr\"odinger equation with the Argonne $v_{18}$ (AV18) or CD-Bonn (CDB) potentials, while those for $A$=3 are obtained with the hyperspherical-harmonics-expansion method from a realistic Hamiltonian including, in addition to the AV18 or CDB two-nucleon, also a three-nucleon potential. With the strengths of the $\Delta$-excitation currents occurring at N$^2$LO determined to reproduce the $n$-$p$ cross section and isovector combination of the trinucleon magnetic moments, we find that the cross section and photon circular polarization parameter, measured in $n$-$d$ and $\vec{n}$-$d$ processes, are underpredicted by theory, for example the cross section by (11--38)% as the cutoff is increased from 500 to 800 MeV. A complete analysis of the results, in particular their large cutoff dependence, is presented.
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nucl-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Ab initio QMC calculations with Norfolk chiral interactions give a larger Zemach radius for 6Li than atomic data and agreement for 9Be, tracing prior discrepancies to model-dependent magnetic radius inputs.
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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Quantum Monte Carlo calculations of Zemach moments in $A\leq 9$ nuclei
Ab initio QMC calculations with Norfolk chiral interactions give a larger Zemach radius for 6Li than atomic data and agreement for 9Be, tracing prior discrepancies to model-dependent magnetic radius inputs.