Nuclear chiral EFT in the precision era

Epelbaum, E.

doi:10.22323/1.253.0014

Cited by 7 publications

(5 citation statements)

References 87 publications

(176 reference statements)

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“…A more rigorous way to estimate the theoretical uncertainty of the calculated cross-sections is described in Refs. [36,37]. Finally, we conclude by noting that radiative corrections for the CC and NC processes due to bremsstrahlung and virtual photon and Z exchanges have been evaluated by the authors of Refs.…”

Section: Discussionmentioning

confidence: 65%

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Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory

Baroni

Schiavilla

2017

Phys. Rev. C

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Cross sections for inclusive neutrino scattering off deuteron induced by neutral and chargechanging weak currents are calculated from threshold up to 150 MeV energies in a chiral effective field theory including high orders in the power counting. Contributions beyond leading order (LO) in the weak current are found to be small, and increase the cross sections obtained with the LO transition operators by a couple of percent over the whole energy range (0-150) MeV. The cutoff dependence is negligible, and the predicted cross sections are within ∼ 2% of, albeit consistently larger than, corresponding predictions obtained in conventional meson-exchange frameworks.

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Section: Discussionmentioning

confidence: 65%

“…A more rigorous way to estimate the theoretical uncertainty of the calculated cross-sections is described in Refs. [36,37].…”

Section: Discussionmentioning

confidence: 99%

Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory

Baroni

Schiavilla

2017

Phys. Rev. C

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“…andFig. 5of Ref [57],. the NDA-based estimation for the expansion parameter of M π /Λ b cannot account for dimensionless factors.…”

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confidence: 89%

High-precision nuclear forces : Where do we stand?

Epelbaum¹

2020

Proceedings of the 9th International Workshop on Chiral Dynamics — PoS(CD2018)

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“…For further discussion of this approach to quantifying the truncation error and of its limitations the reader is refereed to Ref. [109].…”

Section: Truncation Errormentioning

confidence: 99%

Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order

2018

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We introduce new semilocal two-nucleon potentials up to fifth order in the chiral expansion. We employ a simple regularization approach for the pion-exchange contributions which (i) maintains the long-range part of the interaction, (ii) is implemented in momentum space and (iii) can be straightforwardly applied to regularize many-body forces and current operators. We discuss in detail the two-nucleon contact interactions at fourth order and demonstrate that three terms out of fifteen used in previous calculations can be eliminated via suitably chosen unitary transformations. The removal of the redundant contact terms results in a drastic simplification of the fits to scattering data and leads to interactions which are much softer (i.e. more perturbative) than our recent semilocal coordinate-space regularized potentials. Using the pion-nucleon low-energy constants from matching pion-nucleon Roy-Steiner equations to chiral perturbation theory, we perform a comprehensive analysis of nucleon-nucleon scattering and the deuteron properties up to fifth chiral order and study the impact of the leading F-wave two-nucleon contact interactions which appear at sixth order. The resulting chiral potentials lead to an outstanding description of the proton-proton and neutron-proton scattering data from the self-consistent Granada-2013 database below the pion production threshold, which is significantly better than for any other chiral potential. For the first time, the chiral potentials match in precision and even outperform the available high-precision phenomenological potentials, while the number of adjustable parameters is, at the same time, reduced by about ∼ 40%. Last but not least, we perform a detailed error analysis and, in particular, quantify for the first time the statistical uncertainties of the fourth-and the considered sixth-order contact interactions.

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Nuclear chiral EFT in the precision era

Cited by 7 publications

References 87 publications

Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory

Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory

High-precision nuclear forces : Where do we stand?

Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order

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