A Level Physics Notes: Nuclear Physics - Conservation Laws in Nuclear Reactions
As well as fundamental Laws of Physics such as The Law of Conservation of Energy and The Law of Conservation of Momentum, they are very specific Laws which musch be obeyed during any nuclear process, and some laws which apply only to certain nuclear processes.
Conservation of Baryon Number: The Hadrons are divided into two groups: the baryons and mesons. The baryons are made up of three quarks, and the mesons are made up of two quarks. If we associate a baryon number of +1with each baryon and a baryon number of -1 with each anti – baryon, we can state the Law as follows:
In any nuclear reaction or decay process, the sum of all the baryon numbers for the reactants equals the sum of all the baryon numbers for the products.
There is also a quality called “strangeness”, which is, as you
might expect, strange. Strange particles are always produced in
pairs: if a
meson
hits a proton, a
and
are
produced:
Without
the strangeness quality, a neutron should be able to replace the
in
the above reaction, but such a reaction never occurs.
Conservation of Strangeness Law: During any nuclear reaction or decay process involving the strong nuclear force, the strangeness of the reactants must equal the strangeness of the products.
Conservation of Lepton Number: It is observed that a neutron may
decay into a proton plus an electron, but observation implies energy
and momentum are carried away by some third particle. This particle
is called the neutrino -labelled
and
the equation for neutron decay is:
The
bar indicates it is an anti - neutrino and the subscript indicates it
is associated with the electron. We may assign a lepton number of +1
to the electron and -1 to the anti – neutrino, and then the sum of
the lepton number is aero on both sides. Observations of other decays
leads to separate laws for each of the three families of leptons –
one each for the electron, muon and tau families.
There are also other laws, which are taught as part of Degree Level Physics courses.