Nuclear properties with semilocal momentum-space regularized chiral interactions beyond N2LO

Abstract

We present a comprehensive investigation of few-nucleon systems as well as light and medium-mass nuclei up to $A=48$ using the current Low Energy Nuclear Physics International Collaboration two-nucleon interactions in combination with the third-order (N${}^2$LO) three-nucleon forces. To address the systematic overbinding of nuclei starting from $A\sim 10$ found in our earlier study utilizing the N${}^2$LO two- and three-nucleon forces, we take into account higher-order corrections to the two-nucleon potentials up through fifth order in chiral effective field theory. The resulting Hamiltonian can be completely determined using the $A=3$ binding energies and selected nucleon-deuteron cross sections as input. It is then shown to predict other nucleon-deuteron scattering observables and spectra of light $p$-shell nuclei, for which a detailed correlated truncation error analysis is performed, in agreement with experimental data. Moreover, the predicted ground state energies of nuclei in the oxygen isotopic chain from ${}^{14}$O to ${}^{26}$O as well as ${}^{40}$Ca and ${}^{48}$Ca show a remarkably good agreement with experimental values, given that the Hamiltonian is fixed completely from the $A\le 3$ data, once the fourth-order (N${}^3$LO) corrections to the two-nucleon interactions are taken into account. On the other hand, the charge radii are found to be underpredicted by $\sim 10\%$ for the oxygen isotopes and by almost $20\%$ for ${}^{40}$Ca and ${}^{48}$Ca.

20 pages, 14 figures, 8 tables

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