At first, it sounds like an anti-neutrino can "spontaneously" emit a positron to form a W boson, instead of finding an electron.
On re-reading, it's like the neutrino "bumps" the positive charge out of the proton. Like the neutrino interacting with a down quark will convert them into an up quark and a positron.
Edit: Inverse beta decay, commonly abbreviated to IBD, is a nuclear reaction involving electron antineutrino scattering off a proton, creating a positron and a neutron.
... The IBD reaction can only be initiated when the antineutrino possesses at least 1.806 MeV of kinetic energy (called the threshold energy). This threshold energy is due to a difference in mass between the products ( positron and neutrino ) and the reactants ( antineutrino and proton ) and also slightly due to a relativistic mass effect on the antineutrino. Most of the antineutrino energy is distributed to the positron due to its small mass relative to the neutron.
https://en.wikipedia.org/wiki/Inverse_beta_decay
To state the obvious, since the Neutrino is massless, its energy can only come from momentum. Hence the distribution of the 1.806 MeV from the Wiki article above:
P+ to N: 1.293 MeV
Positron: 0.511 MeV
total: 1.804 MeV (rounding error?)