Perturbative chiral nucleon-nucleon potential for the ${}^3{P}_0$ partial wave

Abstract

We study perturbativeness of chiral nuclear forces in the ${}^3{P}_0$ channel. In previous works, the focus has been on one-pion exchange, and the applicable window of perturbative pion exchanges has been shown to span from threshold to the center-of-mass momentum $k\simeq$ 180 MeV. We will examine, instead, whether cancellation of short and long-range parts can sufficiently soften the ${}^3{P}_0$ chiral force to make it more amenable to perturbation theory. The result is encouraging, as the combined ${}^3{P}_0$ force is shown to be perturbative up to $k\simeq$ 280 MeV, covering many nuclear-structure calculations.