Gamma decay The most common mechanism for suppression of the rate of gamma decay of excited atomic nuclei, and thus make possible the existence of a
metastable isomer for the nucleus, is lack of a decay route for the excited state that will change nuclear angular momentum (along any given direction) by the most common (allowed) amount of 1 quantum unit \hbar of
spin angular momentum. Such a change is necessary to emit a gamma-ray photon, which has a spin of 1 unit in this system. Integral changes of 2, 3, 4, and more units in angular momentum are possible (the emitted photons carry off the additional angular momentum), but changes of more than 1 unit are known as forbidden transitions. Each degree of forbiddenness (additional unit of spin change larger than 1, that the emitted gamma ray must carry) inhibits decay rate by about 5 orders of magnitude. The highest known spin change of 8 units occurs in the decay of
Ta-180m, which suppresses its decay by a factor of 1035 from that associated with 1 unit, so that instead of a natural gamma decay half-life of 10−12 seconds, it has a half-life of more than 1023 seconds, or at least 3 × 1015 years, and thus has yet to be observed to decay. Although gamma decays with nuclear angular momentum changes of 2, 3, 4, etc., are forbidden, they are only relatively forbidden, and do proceed, but with a slower rate than the normal allowed change of 1 unit. However, gamma emission is absolutely forbidden when the nucleus begins and ends in a zero-spin state, as such an emission would not conserve angular momentum. These transitions cannot occur by gamma decay, but must proceed by another route, such as
beta decay in some cases, or
internal conversion where beta decay is not favored.
Beta decay Beta decay is classified according to the
-value of the emitted radiation. Unlike gamma decay, beta decay may proceed from a nucleus with a spin of zero and even parity to a nucleus also with a spin of zero and even parity (Fermi transition). This is possible because the electron and neutrino emitted may be of opposing spin (giving a radiation total angular momentum of zero), thus preserving angular momentum of the initial state even if the nucleus remains at spin-zero before and after emission. This type of emission is super-allowed meaning that it is the most rapid type of beta decay in nuclei that are susceptible to a change in proton/neutron ratios that accompanies a beta decay process. The next possible total angular momentum of the electron and neutrino emitted in beta decay is a combined spin of 1 (electron and neutrino spinning in the same direction), and is allowed. This type of emission (
Gamow-Teller transition) changes nuclear spin by 1 to compensate. States involving higher angular momenta of the emitted radiation (2, 3, 4, etc.) are forbidden and are ranked in degree of forbiddenness by their increasing angular momentum. Specifically, when the decay is referred to as forbidden. Nuclear
selection rules require L-values greater than two to be accompanied by changes in both
nuclear spin () and
parity (π). The selection rules for the th forbidden transitions are \Delta J = L-1, L, L+1; \Delta \pi = (-1)^L, where or corresponds to no parity change or parity change, respectively. As noted, the special case of a Fermi 0+ → 0+ transition (which in gamma decay is absolutely forbidden) is referred to as super-allowed for beta decay, and proceeds very quickly if beta decay is possible. The following table lists the Δ and Δπ values for the first few values of : As with gamma decay, each degree of increasing forbiddenness increases the half-life of the beta decay process involved by a factor of about 4 to 5 orders of magnitude.
Double beta decay has been observed in the laboratory, e.g. in . Geochemical experiments have also found this rare type of forbidden decay in several isotopes, with mean half lives over 1018 yr. == In solid-state physics ==