Chiral three-nucleon forces for the new local position-space two-nucleon potential in $\textit{ab initio}$ many-body calculations

Abstract

Three-nucleon force (3NF) plays an important role in understanding the structure of finite nuclei and the saturation properties of infinite nuclear matter. The chiral 3NF derived from the chiral effective field theory has been successful in $\textit{ab initio}$ studies of atomic nuclei. However, challenges remain, such as parameterizing low-energy constants and applying regulators. Most of established chiral nuclear forces have a nonlocal form in the momentum space. In this work, we construct local and hybrid local-nonlocal chiral 3NFs for the newly established Idaho local position-space two-nucleon potential, and calculate binding energies and radii of nuclei up to $^{132}$Sn. The two low-energy constants of 3NF are constrained by the ground-state energies of $^3$H and $^{16}$O, as suggested in a recent work. The chiral Hamiltonian obtained with the local-nonlocal regulator can simultaneously reproduce the experimental ground-state energies and charge radii of nuclei over a large range from $^4$He to $^{132}$Sn.

Figures (6)

• Figure 1: Relation between $c_{\text{D}}$ and $c_{\text{E}}$ obtained by the constraint of the $^3$H binding energy, for the local and lnl 3NF regulators. Shadows indicate the EFT uncertainty of 300 keV. The blue and red filled dots are the final optimized results by considering the $^{16}$O binding energy for 2NF(local)+3NF(local) and 2NF(local)+3NF(lnl), respectively.
• Figure 2: Ground-state energies of selected medium-mass doubly-closed-shell nuclei, calculated by IMSRG with increasing the $c_{\text{D}}$ value in a step of 1.0, starting from $c_{\text{D}}=-6.0$ for the local 3NF regulator (a), and from $c_{\text{D}}=2.0$ for the lnl regulator (b). The black bars indicate experimental data Wang_2021.
• Figure 3: Ground-state energies per nucleon and charge radii for selected doubly-closed-shell nuclei from $^{4}$He to $^{132}$Sn. Experimental data are taken from Refs. Wang_2021ANGELI201369. See text for details of the interactions and calculations.
• Figure 4: Ground-state energies of O, Mg, Si, S, Ar and Ca isotopes, calculated by VS-IMSRG using the new families of 2NF(local) plus 3NF(local) and 2NF(local) plus 3NF(lnl). Experimental data are taken from the 2020 atomic mass evaluation (AME2020) Wang_2021.
• Figure 5: Similar to Fig. \ref{['fig:chain_all_energy']} but for charge radii. Experimental charge radii are taken from Ref. ANGELI201369.