NUCLEAR DECAY PROCESSES
One of the first great
successes of quantum physics was the prediction of the
probability of tunneling of a 4He nucleus through
the Coulomb barrier of heavy nuclei, which explained the
incredible variation in the lifetime of nuclei that underwent
so-called α-decay, from 1018 to 10-8
seconds! This is the main process by which nuclei heavier
than 208Pb decay, since there is a high probability
of [2p,2n] clusters in such nuclei, and their tight binding
gives them a high kinetic energy within the nucleus.
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)
Nuclei with too many neutrons
relative to protons, or too many protons relative to neutrons,
are unstable to the weak interaction, which can change neutrons
to protons or protons to neutrons by having a quark emit a
charged weak boson, which then creates a pair. If the weak
boson
has a positive charge, it creates a pair of positron and
neutrino; if the weak boson has a negative charge, it creates a
pair of electron and anti-neutrino. In heavy nuclei, the
probability distribution of the 1s electrons overlaps the
nucleus strongly, and the weak interaction process can also
occur by a proton capturing an electron and converting to a
neutron and neutrino.
Following any type of nuclear
decay, the nucleus that results is usually in an excited state,
and has to transition to its ground state by emitting photons...
with kinetic energies of typically an MeV, these are called
gamma rays.
An example of a radioactive
decay chain. A very heavy nucleus initiates a chain of
sequential decays that eventually ends up at a stable nucleus
with many fewer nucleons.
![](data:image/gif;base64,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)
<
An example of nuclear
medicine... Positron Emission Tomography. A very effective way
to spot cancerous growths anywhere in the body. Any
positron emitter with a very short half-life works well. The
radioactive atom is chemically incorporated into a
biologically active molecule, like glucose.
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