3 PF 2 pairing in high-density neutron matter

The onset of the superfluid phase in high-density neutron matter is studied within the BCS framework with two- and three-body forces. When including the strong correlation effects in the gap equation, the pairing gap turns out to be nonvanishing in a range of densities about $0.1--0.4\phantom{\rule{0.28em}{0ex}}{\text{fm}}^{\ensuremath{-}3}$ with a peak value a bit less than 0.05 MeV. These results could limit the role of the ${}^{3}{\mathit{PF}}_{2}$ superfluidity in the interpretation of phenomena occurring in the neutron-star core.