1. More on the Elementary Particles and Forces in the Universe
Dr. Mike Strauss
The University of Oklahoma

2. Two Questions Asked for Centuries
1) What are the fundamental objects from which everything else in the universe is made?
2) What are the forces or interactions that hold these objects together and how do these forces work?

3. What are the fundamental objects in the universe from which everything else is made?
This question has been pondered for over 2500 years
Ancient Greece (followers of Thales)
Ancient Greece (Democritus)
Indivisible particles called ατομοσ - atomos

4. How are the fundamental objects held together
How are the fundamental objects held together? or in more precise scientific language What are the fundamental forces of nature?
At the turn of the century, (that is in 1900) two fundamental forces were known:
Gravity
Electromagnetism

5. The Fundamental Particles in the Universe (Current Model)
Leptons
Latin for “Light”
Usually found alone
Quarks
A nonsense word in Finnegan’s Wake by James Joyce
Always found in groups

6. The Atom These electrons are fundamental particles (leptons).
Other fundamental
particles (quarks)
are buried deep
inside the nucleus.

7. The Fundamental Forces in the Universe (Current Model)
Gravity
Electromagnetic Force
Weak Nuclear Force
Strong Nuclear Force
Only quarks and particles made from quarks (hadrons) interact via this force
Electroweak

8. The Standard Model: A Theory of Everything (except gravity)
The Fundamental Particles: (Fermions)
six quarks
(and antiquarks)
six leptons
(and antileptons)
u c t
d s b
e μ τ-
νe νμ ντ
Charge = +2/3e
Charge = -1/3e
The Fundamental Forces: (Bosons)
Strong force: gluons
Weak force: W+, W-, Z0
Electromagnetic force: γ
And: Higgs Boson: H
(plus a lot of Nobel Prize winning math)

9. Quarks are very bizarre objects
They have no size, but they do have mass.
(All “elementary” particles have no apparent size)
They have charges that are fractions of the proton and electron charge.
They cannot be isolated
No quark has ever been discovered by itself.
They are always found in groups of three quarks or antiquarks (baryons) or one quark and one antiquark (mesons).

10. Terminology Review
Antiparticle: Every particle, including quarks, has an antiparticle. The charge and “quantum numbers” of the antiparticle are opposite that of the particle, and the mass is the same.
Hadron: Any particle made of quarks and/or antiquarks.
Baryon: Any particle made of three quarks. (Antibaryons are made up of three antiquarks.)
Meson: Any particle made of a quark and an antiquark.

11. Selected Hadrons (Hundreds of hadrons have been discovered)
Baryons Mesons
p: uud π+: ud
n: udd π0: uu
λ: uds π-: ud
Ω: sss K+: us
λc:udc D0: cu
p: uud
(electric charge) (electric charge)
2/3+2/3-1/3= /3-(-1/3)=+1
2/3-1/3-1/3=0 2/3-2/3=0
2/3-1/3-1/3=0 -2/3-1/3=-1
-1/3-1/3-1/3=-1 2/3-(-1/3)=+1
2/3-1/3+2/3=+1 2/3-2/3=0
-2/3-2/3+1/3=-1
Properties of hadrons can be explained from the properties of their constituents.
Most of the visible matter in the universe is made of up and down quarks and electrons.
Most of the known objects in the universe are made of matter and not antimatter.

12. The Forces of Nature
Gravity: All objects in the universe are attracted to each other by this force.
Electromagnetic*: Holds atoms and molecules together. Most of the phenomena we experience everyday is a result of this force.
Weak Nuclear Force*: Responsible for radioactive decay.
Strong Nuclear Force: Holds quarks together in hadrons and holds the nucleus together.
*A theory combining these two into an “electroweak” force was developed in the 1960’s and verified in 1983.

13. The Forces of Nature (continued)
Particles Relative
Force Carrier(s) Affected Strength Range
Gravity Graviton* All ∞
EM Photon Charged ∞
Weak W+, W-, Z All <10-18 m
Strong Gluons (8) Quarks/Gluons <10-15 m
Hadrons
*Not yet discovered. Not part of the “Standard Model”

14. How Do We Know the Fundamental Structure of Anything
How Do We Know the Fundamental Structure of Anything? (How Do You Know How Your Car Works?)
Be taught by someone who already knows
Take it apart (or look inside)
Put it together

15. Earnest Rutherford’s 1911 Experiment
Looking Inside Very Small Objects
Earnest Rutherford’s 1911 Experiment
“Pudding”
“Plum Pudding”
“The Results”
Rutherford proposed the “Nucleus” to explain the results.

16. Early Evidence for Quarks (late 1960’s) (Looking Inside the Proton)
Incoming
electron (e-)
Proton (p)
Deep Inelastic Scattering

17. λ = h/p h = 6.63  10-34 Js p = mv (momentum)
The Wave Nature of Matter
The de Broglie Wavelength
λ = h/p
h = 6.63  Js
p = mv (momentum)
In order to “see” an object, the wavelength of the probe must be smaller than the object being observed.

18. But How Do You Put Protons (or other particles) Together?
E = m0c2
E2 = m02c4
E2 = m02c4 + c2p2
Answer: Mass is a form of energy. If I can concentrate enough energy at any point (even energy of motion—kinetic energy), I can create any particle(s) with mass.

19. Particle accelerators can create matter (from other forms of energy)
Step 1: Accelerate two particles towards each other. They have a lot of energy from their motion, kinetic energy. e- e+
Step 2: Let them collide and annihilate each other to create energy or other particles.
Step 3: That energy can create any particle and its antiparticle with mass less than or equal to the total energy (E=mc2).

20. “Feynman” Diagram of e+e-Annihilation
any
fundamental
particle
e.g. μ- e+
Space
Photon or Z0
the
corresponding
antiparticle
e.g. μ+ e-
Time

21. Creating Hadrons 1. Quarks created from initial annihilation
2. Strong nuclear force acts like a rubber band
3. Eventually the “rubber band” breaks creating new quarks

22. Production of Hadrons q meson e+ meson Space Photon or Z0 meson e-
Time

23. A 2 jet event

24. So Let’s Review What are the two classes of fundamental particles?
Which class of fundamental particles are always bound together to make other subatomic particles?
What are the four fundamental forces?
Which force is so weak that it plays little role in the interactions of fundamental particles?
Which principle of physics allows scientist to probe the structure of matter with high energy particles?
Which principle of physics allows fundamental particles to be created in the laboratory?

25. Let’s Look at a Few Topics in More Detail
Forces as Particles
Quarks and Protons
Benefits

26. What about the forces? Why are they described by particles?
The interaction between two particles can be thought of as the two particles exchanging another particle. In this case, the two people throw a basketball back and forth to change their momentum. The basketball is the “carrier” of the force or interaction.

27. Now consider an electron (with a negative charge)
and a positron (with a positive charge) approaching each other at a rapid rate. e- e+

28. This can be thought of as the two particles exchanging a “photon” which, in turn, changes their direction as indicted in this Feynman Diagram e+ e+
Space
Photon e- e-
Time

29. Different quarks have different masses
The equation E=mc2 is used to define the mass of an object. In these units, a proton has a mass of about 1 billion electron volts (1 GeV/c2).
(The following masses are in GeV/c2)
Up quark (u): Down quark (d):
Charm quark (c): 1.5 Strange quark (s): 0.15
Top quark (t): Bottom quark (b): 4.7
The mass of just one top quark is more than the entire mass of a gold nucleus which has 79 protons and 118 neutrons, or more than 591 up and down quarks!

30. Quarks have fractional charge
In a very basic model:
A neutron is made of 3 quarks: up, down, down (udd)
Charge: +(2/3) - (1/3) - (1/3) = 0
A proton is also made of 3 quarks: up, up, down (uud)
Charge: +(2/3) + (2/3) - (1/3) = 1
All the properties of the neutron and proton can be derived from the properties of its constituent particles.

31. Why are quarks always bound together?
The force that holds quarks together is called the strong nuclear force.
There are 3 types of strong nuclear charge which can attract quarks to each other and cause them to bind together.

32. Strong charge Objects with strong charge interact via the strong force
Three types of strong charge
Larry, Curly, Moe
anti-larry, anti-curly, anti-moe
knife, fork, spoon

33. Three strong charges color Quantum Chromodynamics (QCD)
Every color is attracted to its anticolor

34. Hadrons in nature are colorless
Baryons:
3 quarks
1 green, one red, one blue
Constantly changing color
Antibaryons have 3 anti-quarks
With 3 different anti-colors constantly changing
Some Baryons
Proton
Neutron
Lambda
Sigma
Anti-proton
Mesons
1 quark and 1 anti-quark
Color and anticolor constantly changing
Some Mesons
Pion
Kaon
Eta

35. Quark and Gluon Color
At any “moment” in a baryon, the three quarks are three different colors.
At any moment in a meson, the quark is a particular color and the antiquark is the corresponding anticolor.
Gluons can also carry color so they can interact with each other.
When gluons are exchanged between quarks, they can change the color of the quarks. The type of quark, or flavor, cannot be changed by a gluon.

36. A model of the Structure of a Proton
valence
quarks u u
Space u u
gluons d d
Time

37. Virtual Particles Exist!
It’s as if a tennis ball changed into a bowling ball and an “anti”-bowling ball for a brief moment, before turning back into a tennis ball. E1 E2 E3
E1=E3
ΔE = E2 - E1
ΔEΔt < h/2π

38. A more complete model of the Structure of a Proton
valence
quarks
virtual
“sea” quarks u u q q
Space u u
gluons d d
Time

39. Neutron Decay and the Weak Force Described Using Particles
Space d u
Neutron d d
Proton u u
Time

40. So if d < h/2πmc a “virtual” particle can be produced.
Question: The neutron has a mass of about 1 GeV/c2 and the W has a mass of about 84 GeV/c2. How is energy conserved in neutron decay?
Answer: During the very brief period of time that the W exists, energy is not conserved? ...How can this be?
Heisenberg’s Uncertainty Principle:
ΔEΔt ≥ h/2π
mc2(d/c) ≥ h/2π
mc2 ≥ hc/2πd
d ≥ h/2πmc
So if d < h/2πmc a “virtual” particle can be produced.
(h = 6.63 × Js)

41. Benefits of HEP
Answers questions about the structure and origin of the universe that have been pondered for millennia.
Leads to future technology.
e.g. Electricity, Semi-conductors, Superconductors

42. Benefits of HEP Creates “spin-off” applications.
CT scans, Proton Therapy, World Wide Web
Builds a foundation for other areas of science.

43. Benefits of HEP Develops an educated work force.
Produces economic benefits

45. Benefits of High Energy Physics
Answers questions about the structure and origin of the universe that have been pondered for millennia.
Leads to future technology. Technological advances can only be made when the underlying physical principles are understood.
e.g. Electricity, Semi-conductors, Superconductors
“Spin-off” applications result from technologies developed to accelerate, collide and detect particles.
CT scans, Proton Therapy, World Wide Web
Builds a foundation for other areas of science.
Develops an educated work force.
Economic benefits (30% return on investment).