Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
By P. Reinert, Hermann Krebs, Evgeny Epelbaum. 2017
275 citations recorded by the source corpus.
Abstract.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 at fifth order 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 $ \sim 40$∼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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c5e029d6acde71d96a81434f7567c4657dc3d819
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Citations in the corpus
- High-Precision Nuclear Forces From Chiral EFT: State-of-the-Art, Challenges, and Outlook (2019, methodology): “These include, among others, testing the naturalness of the extracted LECs [17], making error plots for phase shifts as suggested in Lepage [56], and Grießhammer [81], verifying a reduced residual 3dependence of observables (within a specified cutoff range) upon including higher-order short-range in”
- A Guided Tour of ab initio Nuclear Many-Body Theory (2020, background): “have proposed the use of a more nuanced semilocal regularization scheme that applies local regulators to the longrange pion exchange and non-local regulators to the short-range contact terms [3, 46].”