Ab initio calculations with a new local chiral N3LO nucleon-nucleon force

Ab initio calculations have achieved remarkable success in nuclear structure studies. Numerous works highlight the pivotal role of three-body forces in nuclear ab initio calculations. Concurrently, efforts have been made to replicate these calculations using only realistic nucleon-nucleon $(NN)$ interactions. A novel local chiral next-to-next-to-next-to-leading order (N³LO) $NN$ interaction, distinct due to its weaker tensor force, has recently been established. This paper applies this local $NN$ interaction in ab initio frameworks to calculate the low-lying spectra of p-shell light nuclei, particularly ¹⁰B, ground-state energies and shell evolution in oxygen isotopes. Results are compared with calculations utilizing nonlocal chiral N³LO4pt0exNN and chiral $NN+3N$ interactions. The ab initio calculations with the local $NN$ potential accurately describe the spectra of p-shell nuclei, notably the ¹⁰B. Additionally, the neutron drip line for oxygen isotopes, with ²⁴O as the drip line nucleus, is accurately reproduced in ab initio calculations with the local $NN$ interaction. Calculations with the local $NN$ interaction also reproduce the subshell closure at $N=14$ and 16, albeit with a stronger shell gap compared to experimental data. However, the calculated charge radii based on the local $NN$ interaction are underestimated compared with experimental data, which is similar to results from the nonlocal $NN$ interaction. Consequently, the present ab initio calculations further indicate significant spin-orbit splitting effects with the new local $NN$ potential, suggesting that 3N forces remain an important consideration.