Inverse beta decay

Reactions

Antineutrino induced

Inverse beta decay proceeds as

: + → + ,

where an electron antineutrino () interacts with a proton () to produce 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 ( and ) and the reactants ( and ) 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. The positron promptly undergoes matter–antimatter annihilation after creation and yields a flash of light with energy calculated as

\begin{align} E_\text{vis} &= 511 \text{ keV} + 511 \text{ keV} + E_{\rm ,\overline\nu_e} - 1806 \text{ keV} \[2pt] &= E_{\rm ,\overline\nu_e} - 784 \text{ keV} \end{align}

where 511 keV is the electron and positron rest energy, Evis is the visible energy from the reaction, and is the antineutrino kinetic energy. After the prompt positron annihilation, the neutron undergoes neutron capture on an element in the detector, producing a delayed flash of 2.22 MeV if captured on a proton. The timing of the delayed capture is 200–300 microseconds after IBD initiation ( in the Borexino detector). The timing and spatial coincidence between the prompt positron annihilation and delayed neutron capture provides a clear IBD signature in neutrino detectors, allowing for discrimination from background. The IBD cross section is dependent on antineutrino energy and capturing element, although is generally on the order of 10−44 cm2 (~ attobarns).

Neutrino induced

Another kind of inverse beta decay is the reaction

: + → +

The Homestake experiment used the reaction :\mathrm{\nu_e + \ ^{37}Cl \longrightarrow \ ^{37}Ar + e^-} to detect solar neutrinos.

Electron induced

Main article: Electron capture

During the formation of neutron stars, or in radioactive isotopes capable of electron capture, neutrons are created by electron capture:

: + → + .

This is similar to the inverse beta reaction in that a proton is changed to a neutron, but is induced by the capture of an electron instead of an antineutrino.

References

References

1. (2016-02-12). "Measurement of the Reactor Antineutrino Flux and Spectrum at Daya Bay". Physical Review Letters.
2. (1999-07-27). "Angular distribution of neutron inverse beta decay". Physical Review D.
3. (2016-01-01). "The inverse beta decay: a study of cross section". Journal of Physics: Conference Series.
4. (2010-04-19). "Observation of geo-neutrinos". Physics Letters B.
5. (2013-04-15). "Measurement of geo-neutrinos from 1353 days of Borexino". Physics Letters B.
6. (2003-07-03). "Precise quasielastic neutrino/nucleon cross-section". Physics Letters B.