AS Physics |
|
|
Particle Physics

Tracks left in a particle detector.
Contents
Constituents of the Atom
Stable and Unstable Nuclei
Alpha decay
Beta decay
Gamma rays
Particles, Antiparticles and Photons
Converting from Energy into Frequency/Wavelength
"Stamp Collecting" and the "Particle Zoo"
Leptons
Neutrinos... the ghost particle
Hadrons
Mesons
Baryons
Fundamental Forces
Conservation Rules
Feynman Diagrams
Some Real Decays...
Constituents of the Atom
Stable and Unstable Nuclei
Alpha decay
Beta decay
Gamma rays
Particles, Antiparticles and Photons
Converting from Energy into Frequency/Wavelength
"Stamp Collecting" and the "Particle Zoo"
Leptons
Neutrinos... the ghost particle
Hadrons
Mesons
Baryons
Fundamental Forces
Conservation Rules
Feynman Diagrams
Some Real Decays...
Constituents of the Atom
Protons and neutrons (also called 'nucleons') are found in the nucleus (centre of the atom) and contain (almost!) all the mass of the whole atom.
Here is a summary of some key properties:
Here is a summary of some key properties:
e and p have equal but opposite charge.
Charge is a unit measured in Coulombs, not to be confused with 'relative charge'.
The relative charge of e:p:n is -1:+1:0
The relative mass of e:p:n is 0:1:1
An atom has a net zero charge. If it loses an electron it becomes a positive ion, if it gains an electron it becomes a negative ion.
Charge is a unit measured in Coulombs, not to be confused with 'relative charge'.
The relative charge of e:p:n is -1:+1:0
The relative mass of e:p:n is 0:1:1
An atom has a net zero charge. If it loses an electron it becomes a positive ion, if it gains an electron it becomes a negative ion.

A = the 'nucleon' number or 'atomic mass number' or 'atomic mass unit' = p + n
Z = the 'atomic' number or 'proton number' = p
X = symbol for a particular element
e.g. If Carbon has A=12 and Z=6, then it must have 6 neutrons
Z = the 'atomic' number or 'proton number' = p
X = symbol for a particular element
e.g. If Carbon has A=12 and Z=6, then it must have 6 neutrons
Isotopes = "atom with the name number of protons but different number of neutrons"
Example = Carbon has several isotopes, the most common being Carbon-12. Carbon-13 and Carbon-14 are unstable and not found in abundance.
The isotope listed on the periodic table takes into account (percentage-wise) the ratio of naturally occurring isotopes. |
Example of different isotopes of Carbon. C-12 is the most common. In more advanced periodic tables you will see Carbon-12.011, this is the summed average of carbon isotopes.
|
Stable and Unstable Nuclei
From basic intuition you would expect two things from the atom:
1) Since positively charge protons are packed together in the nucleus, why doesn't the nucleus just explode apart...?
2) Since electrons are attracted to protons, why don't the electrons fall into the nucleus...? (Not covered in A-level courses)
The answer to 1 is called the 'Strong Nuclear Force'. Since positive charges (i.e. protons) should repel each other because of electrostatic forces, there must be a short-range attractive force that keeps these nucleons together.
Example - When protons are 'far' apart they repel each other via repulsive electrostatic forces. As protons are brought close together (e.g. with fusion in the sun) the attractive strong force begins to 'win' against the repulsive electrostatic force. The strong force becomes significant at ~3 femto-meters. If those protons are then brought EVEN closer, then they will repel i.e. an atom has a radius of ~0.5fm, and since you cannot overlap one atom with another, they, in fact, repel each other. This is shown in the graph below:
1) Since positively charge protons are packed together in the nucleus, why doesn't the nucleus just explode apart...?
2) Since electrons are attracted to protons, why don't the electrons fall into the nucleus...? (Not covered in A-level courses)
The answer to 1 is called the 'Strong Nuclear Force'. Since positive charges (i.e. protons) should repel each other because of electrostatic forces, there must be a short-range attractive force that keeps these nucleons together.
Example - When protons are 'far' apart they repel each other via repulsive electrostatic forces. As protons are brought close together (e.g. with fusion in the sun) the attractive strong force begins to 'win' against the repulsive electrostatic force. The strong force becomes significant at ~3 femto-meters. If those protons are then brought EVEN closer, then they will repel i.e. an atom has a radius of ~0.5fm, and since you cannot overlap one atom with another, they, in fact, repel each other. This is shown in the graph below:
As atoms get bigger, the more influence the electrostatic force has, because protons from opposite sides of the atom will begin to repel each other, even though they are bound to their neighbours via the strong force. The image on the right show how short distance forces are dominated by the strong force, whereas longer distance separations are influenced more by electrostatic forces. |
To become more stable, an atom could decay in one of three ways: Alpha(α) , beta (β) and gamma (γ)
Alpha Decay
A convenient equation for alpha decay is:
Beta Decay
When a neutron decays into a proton it emits a fast moving electron; this is a beta- (β-) particle.
When a proton is converted into a neutron a positron ('positive electron') is emitted (more on this later...)
This is possible because the mass of a neutron is slightly higher than that of a proton.
mass of proton = 1.6726 × 10-27kg
mass of neutron = 1.6749 × 10-27kg
When a neutron decays there are other by-products which account for the remaining mass loss.
Beta particles are less ionising than alpha particles because they are smaller and have only a relative charge of -1.
The equation for Beta- decay is:
When a proton is converted into a neutron a positron ('positive electron') is emitted (more on this later...)
This is possible because the mass of a neutron is slightly higher than that of a proton.
mass of proton = 1.6726 × 10-27kg
mass of neutron = 1.6749 × 10-27kg
When a neutron decays there are other by-products which account for the remaining mass loss.
Beta particles are less ionising than alpha particles because they are smaller and have only a relative charge of -1.
The equation for Beta- decay is:
Gamma Rays
Any excess energy that is left over from a decay is given out as electromagnetic radiation in the form of gamma rays.
These waves are highly penetrating; only impeded by thick metal.
Gamma often follows alpha and/or beta decay. The equation for gamma emission is:
These waves are highly penetrating; only impeded by thick metal.
Gamma often follows alpha and/or beta decay. The equation for gamma emission is:
Since no nucleons decay, A and Z remain the same
For a fuller description of these radioactive processes, see the Nuclear and Radioactivity section. |
Particle, Anti-particles and Photons
For every particle there is an antiparticle.
A particle and anti-particle's (rest) mass is the same, however, their charges are opposite. Here is the basic logic behind this proposition
A particle and anti-particle's (rest) mass is the same, however, their charges are opposite. Here is the basic logic behind this proposition
For an object at rest, v = 0 ms-1
This means that the energy, E, can both a positive and a negative value... the origin for particles and anti-particles. When a particle meets its anti-particle they annihilate i.e. all their rest-mass energy is converted into energy. This energy can be calculated using Einstein's famous E=mc^2 equation. Examples of particles/antiparticles: - electron/positron - proton/anti-proton - neutron/anti-neutron - neutrino/anti-neutrino....... etc. |
Energy can be positive or negative because when we take the square root of a number its product can either be both positive or both negative e.g. -2x-2=4 as well as 2x2=4. Likewise (mass)x(mass)xc^2=E so too (-mass)x(-mass)xc^2=E
|
Converting from energy into frequency/wavelength
Electron volt (eV) = Work done on an electron in accelerating it through a potential difference of 1 Volt. It is a convenient unit for energy where 1eV = 1.6x10^-19 Joules
Example of pair production:
An electron has a rest mass energy of 0.511MeV.
To make an electron-positron pair you would need:
2 × 0.511MeV = 1.022 MeV
1.022MeV = 1.022 × (10^6)× (1.6×10^-19)
= 1.64 10^-13J
Frequency? Use E=hf
1.64 ×10^-13 = 6.63×10^-34×f
f = 2.5 × 10^20Hz
An electron has a rest mass energy of 0.511MeV.
To make an electron-positron pair you would need:
2 × 0.511MeV = 1.022 MeV
1.022MeV = 1.022 × (10^6)× (1.6×10^-19)
= 1.64 10^-13J
Frequency? Use E=hf
1.64 ×10^-13 = 6.63×10^-34×f
f = 2.5 × 10^20Hz
"Stamp collecting" and the "Particle Zoo"
Particles make up our universe and they interact with each other in very specific ways. The 'standard model' for particle physics is the phrase used to describe the fundamental interactions (/forces) between all the particles that we know. Before we get to those forces, lets group them into categories with similar properties. Firstly, elementary particles can be considered either matter/antimatter (known as fermions) or force particles (more commonly known as 'gauge' bosons). Matter/anti-matter can be subdivided into EITHER Hadrons (which are made up of quarks) OR Leptons (which cannot be divided further).
|
Leptons
Neutrinos... the ghost particle
Neutrinos and anti-neutrinos are probably the most numerous particles in the universe. Created in β decay and nuclear fusion. They are very weakly interacting, which makes them difficult to detect. Neutrinos were hypothesised in order to take account of some missing energy in β decay. It was initially assumed that β particles would be emitted in β decay with the same amount of energy each time. However this wasn’t the case. There was some energy missing. This energy was later accounted for by including a very small mass that has no charge and doesn’t interact with much = neutrinos.
|
Hadrons
Hardons are made up of QUARKS (it is a debatable how this is pronounced!).
There are two types:
Baryons = 3 quarks
Mesons = quark and anti-quark
The quarks (u='up', d='down', s='strange') have the following properties:
There are two types:
Baryons = 3 quarks
Mesons = quark and anti-quark
The quarks (u='up', d='down', s='strange') have the following properties:
The quark charges add up so that all hadrons have INTEGER CHARGE (i.e. their charge is a whole number). Anti-particles are denoted with a line above the letter.
"Strangeness" is a quantum number that is associated with strange quarks and is conserved in strong interactions.
For example, working out the charge of a proton and neutron:
A proton = Baryon = uud = 2/3 + 2/3 -1/3 = +1
A neutron = Baryon = udd = 2/3 - 1/3 - 1/3 = 0
"Strangeness" is a quantum number that is associated with strange quarks and is conserved in strong interactions.
For example, working out the charge of a proton and neutron:
A proton = Baryon = uud = 2/3 + 2/3 -1/3 = +1
A neutron = Baryon = udd = 2/3 - 1/3 - 1/3 = 0
The truth that AQA are hiding from you...
The Meson Octet (quark+antiquark combos)
You don't "need to know" about the Meson Octet however, this is a great illustration of all the mesons you will encounter, in pictorial format. Mesons are shorted lived, because of matter/anti-matter interactions.
Notice in the picture on the left that: blue lines connect mesons of equal charge. red lines connect mesons of equal strangeness. These mesons are called pions and kaons. Kaon's decay into pions and pions are the exchange particles of the strong interaction (see later). 'Strangeness' was introduced to explain the fact that some hadrons (K0 and Λ0) were created easily through the strong interaction, but decayed with lifetimes characteristic of the weak interaction. Collisions always seemed to produce pairs of these particles and so it was postulated that a new quantity called ‘strangeness’ had to be conserved in a strong interaction. |
Baryons (3 quarks)
The number of baryon's before and after any decay/interaction is always conserved. The Baryon quantum number is denoted by the letter 'B'. Below are some combinations of Baryons that you could encounter, although you don't need to know about all of the quantum numbers, like isospin and spin.
In this diagram each Baryon is denoted by a pink ball with 3 quarks in it. Notice that 'strangeness' (S) goes from 0 to 1 to 2 to 3, from the top to the bottom of the diagram. And that charge (Q) goes from -1 to 0 to 1 to 2 from left to right. The proton is the only stable Baryon into which other Baryons will decay. |
Thanks wikipedia
|
Fundamental Forces
Conservation Rules
In quantum mechanics (and particle physics) many values must be 'conserved' for an interaction to make sense e.g. in thermodynamics energy is always conserved, it is never created (out of nothing) or destroyed. So too here, there are many 'quantum numbers' that are always conserved in interactions. Particle and anti-particles have opposite quantum numbers e.g. the electron has an electron-lepton (Le) number of +1, the positron has an Le of -1.
The following are always conserved:
- charge (Q)
- lepton numbers (Le, Lmu, Ltau: where for example the electron and the electron-neutrino each have a value of 1)
- Baryon number (B) = all baryons have a baryon number = 1
- Strangeness (S) = only conserved in Strong interactions, not weak.
(- momentum and energy; but these are not quantum numbers)
This table summarises the lepton numbers:
The following are always conserved:
- charge (Q)
- lepton numbers (Le, Lmu, Ltau: where for example the electron and the electron-neutrino each have a value of 1)
- Baryon number (B) = all baryons have a baryon number = 1
- Strangeness (S) = only conserved in Strong interactions, not weak.
(- momentum and energy; but these are not quantum numbers)
This table summarises the lepton numbers:
Feynman Diagrams
Feynman diagrams can be used to illustrate particle interactions and decays. They represent particle motion in time. Here are a few interactions represented by Feynman diagrams. Remember: all quantum numbers are conserved.
Some Real Decays...
In a cloud chamber a particle's trajectory can be tracked. Using the direction, length and splitting events of particles; a fundamental understanding of these particles can be amassed. Charged particles are deflected in magnetic fields (see Magnetic Fields), positive and negative charges deflect in opposite directions. Neutral particles follow straight paths. Fast charged particles have less curvature. Whereas heavy and charged particles will follow highly curved paths (leading to spirals)
Here is an example:
Here is an example:
Left: Real tracks left behind in a cloud chamber/particle-detector. Right: schematic, trying to figure out which particles were where...
|
The incoming pion- collides with a stationary proton producing a neutral kaon and hyperon, due to charge conservation (and enough energy!). They are neutral, not detected in the cloud chamber, but then decay. The Kaon is a meson and decays quickly. Hyperon is a baryon and decays slowely i.e. has a longer (non-) trace. Positive charges deflect in one direction, negative the other. |