The baryon number, B, is the number of baryons in an interaction
B depends on whether the particle is a baryon, anti-baryon or neither
Baryons have a baryon number B = +1
Anti-baryons have a baryon number B = –1
Particles that are not baryons have a baryon number B = 0
Baryon number is a quantum number and is conserved in all interactions
This is one of the indicators for whether an interaction is able to occur or not
The baryon number of a particle depends if it is a baryon, anti–baryon or neither
The up (u), down (d) and strange (s) quark have a baryon number of 1/3 each
This means that the anti–up, anti–down and anti–strange quarks have a baryon number of –1/3 each
Note: The baryon number of each quark is provided on the datasheet
The implication of this is that baryons are made up of all quarks and anti-baryons are made up of all anti-quarks
There are no baryons (yet) that have a combination of quarks and anti-quarks eg. up, anti-down, down
The reason being that this would equate to a baryon number that is not a whole number (integer)
Worked Example
Show that the baryon number is conserved in β– decay.
The Proton as a Baryon
The proton is the most stable baryon
This means it has the longest half-life of any baryon and is the particle which other baryons eventually decay to
It is the most stable baryon because it is also the lightest baryon
Radioactive decay occurs when heavier particles decay into lighter particles
A decay of the proton would therefore violate the conservation of baryon number
It is theorised that the proton has a half-life of around 1032 years and research experiments are still underway that are designed to detect proton decay