Inverse beta decay 2026-10-18
In the reaction displayed here, an electron antineutrino interacts with a proton to produce a Positron and a neutron. It turns an otherwise hard-to-observe incident particle into two products with different detection signatures. A prompt Positron signal followed by neutron capture can identify a candidate much more selectively than a single energy deposit. Inverse beta decay is a weak interaction; the incident electron antineutrino is detected through its reaction products.
Use the inverse beta decay threshold, with the charged-lepton mass generalized to . For a stationary proton and a massless incident antineutrino, the Mandelstam invariant is . At threshold the final particles have no relative momentum in their centre-of-momentum frame, so . Therefore
Using the supplied, rounded masses gives
The second term is the recoil correction; setting the threshold equal just to the final rest-mass excess would miss it.
Reactor electron antineutrinos have energies of a few million electronvolts. They can produce a Positron through inverse beta decay above the first threshold, but cannot produce a muon. Thus reactor neutrino oscillations are measured primarily as electron-antineutrino disappearance, through the event rate and energy spectrum relative to the unoscillated prediction. An oscillated muon antineutrino cannot be identified by the proposed muon-production channel at reactor energies; disappearance alone does not distinguish all possible final flavours.
SN 1987A neutrino burst 2026-10-18
The original Kamiokande paper reported a low-energy event cluster on 23 February 1987 above surrounding background. Inverse beta decay, , provides an electron antineutrino channel through Positron light. Neutrino-Electron elastic scattering is more directional. The burst supported core-collapse supernova neutrino emission, with limited statistics and channel ambiguity.[ref]
An original counting illustration shows why timing matters. Suppose an independently measured background is a Poisson process of rate . In a prespecified window , the probability of at least two background events is
For the synthetic choice , this is about , obtained by subtracting the zero- and one-event probabilities of the Poisson distribution. The Homestake experiment's delayed extraction cannot supply such capture-time clustering. This calculation is not a significance estimate for SN 1987A: searching many possible windows, varying acceptance and correlated backgrounds change the inference.