What is the matter?
Where is the antimatter?
Professor Michael G Green
Royal Holloway University of London
Where the hell …?
What is the matter? . . . . Where is the antimatter?
What is matter?
What is the matter? . . . . Where is the antimatter?
Where is the antimatter?
What is the matter? . . . . Where is the antimatter?
The concept of elements
In Aristotle’s philosophythere were four elements
Dalton (1808) listed, with weights,many elements we recognize today
What is the matter? . . . . Where is the antimatter?
The periodic table
Mendeleev (1869) introduced the periodic table
What is the matter? . . . . Where is the antimatter?
The plum pudding model
J J Thomson believed the electronswere embedded in a positivelycharged matrix - plum pudding
What is the matter? . . . . Where is the antimatter?
The structure of atoms
Rutherford (1912)showed that atomscontain a centralnucleus
Electrons orbit nucleuswith well-definedenergy and ill-definedpositions10
-10 m
What is the matter? . . . . Where is the antimatter?
The structure of nuclei
Nucleus containsprotons with charge+e and unchargedneutrons10
-14 m
What is the matter? . . . . Where is the antimatter?
10-15
m
The structure of nucleons
Neutrons and protons contain quarks
What is the matter? . . . . Where is the antimatter?
<10-18
m
The structure of quarks?
There is no evidence for further structure
?
What is the matter? . . . . Where is the antimatter?
Evidence for substructureAtom absorbs energy
Only certain energy levels (orbits) allowed
Electron energy increases
Later ‘de-excites’
What is the matter? . . . . Where is the antimatter?
Evidence for substructure
Measure size of struck objects(Rutherford 1912)
1970 - substructure of protons and neutrons discovered using electrons as projectiles
What is the matter? . . . . Where is the antimatter?
The constituents of matter
Protons contain uud - charge = +eNeutrons contain udd - charge = 0
quarks electron
23
e+
13
e- -e
charge
u
d e
What is the matter? . . . . Where is the antimatter?
Prediction of antimatter
Paul Dirac predicted existence of the positron in 1928
The only equation in Westminster Abbey?
Dirac’s equation implies:
positron mass = electron mass
positron charge = +e
What is the matter? . . . . Where is the antimatter?
Discovery of antimatter
Anderson (1932) discovered the positronpredicted by Dirac
What is the matter? . . . . Where is the antimatter?
What is antimatter?
e+ e - Electrons and positrons annihilate to produce -rays (energy)
E = mc2
What is the matter? . . . . Where is the antimatter?
Production of e+e- pairs
Inverse process also occurs, with -rays becoming an electron-positron pair
e+e -
What is the matter? . . . . Where is the antimatter?
How to produce antimatter
e -
e -e-
e+
e e+ -
thin metal
region of magnetic field
E > few MeV since m c = 0.5 MeVe
2
What is the matter? . . . . Where is the antimatter?
The neutrino
‘Invented’ by Pauli (1928), named by Fermi (1933)
Discovered by Reines & Cowan (1956)
quarks leptons
23
e+
13
e- -e
u
d e
0
What is the matter? . . . . Where is the antimatter?
The muon
Discovered in cosmic rays by Neddermeyer and Anderson (1936)
Appears identical to electron but200 times as heavy
Decays within 2.2 sec
‘Who ordered that?’ - I I Rabi
What is the matter? . . . . Where is the antimatter?
Strange particles
In 1947 Rochester and Butler discovered yet more new objects, now known to contain a third quark
By the early 1960s beautiful patterns of particles containing three quarks or a quark and an antiquark were seen which were predictive (recall Mendeleev)
What is the matter? . . . . Where is the antimatter?
The fundamental particles (1963)
u
d e
s
quarks leptons
What is the matter? . . . . Where is the antimatter?
The zoo grows larger
u
d
tc
s b
six quarks
1947
1976 1995
1978
e
e
six leptons
1956
1895
1963
1936 1973
What is the matter? . . . . Where is the antimatter?
A particle accelerator
Energy of electrons is about 20kV
What is the matter? . . . . Where is the antimatter?
The LEP accelerator
Energy of electrons and positrons is about 100GeV
What is the matter? . . . . Where is the antimatter?
CERNEurope’s research laboratory for particle physics in Geneva.
What is the matter? . . . . Where is the antimatter?
LEP
What is the matter? . . . . Where is the antimatter?
Inside the LEP tunnel
LEP is 27km in circumference
Four bunches of electrons andpositrons circulate inside thevacuum pipe
100s for a complete circuit
About one electron-positroncollision per second
What is the matter? . . . . Where is the antimatter?
Electron-positron collisions
e- e+
Annihilation produces energy - mini Big Bang
Electron (matter)
Particles and antiparticles are produced
Positron (antimatter)
E = mc2
What is the matter? . . . . Where is the antimatter?
The ALEPH detector
End view
What is the matter? . . . . Where is the antimatter?
Collisions in ALEPH
What is the matter? . . . . Where is the antimatter?
ALEPH - a LEP particle detector
What is the matter? . . . . Where is the antimatter?
Three neutrinos ...
measures rate at whiche+e- collisions occur
Number of different neutrinos= 2.984 ± 0.008
u
d
tc
s b
e
e
What is the matter? . . . . Where is the antimatter?
… and no further substructure
e+ e-
e
e-
e*
Excited states produced if substructure exists
mass
What is the matter? . . . . Where is the antimatter?
The story so far
All particles have an antiparticle.
u
d
tc
s b e
e
The everyday world contains two quarks and the electron.
Additional quarks and leptons have been observed with six of each in total; most decay very rapidly.
When energy turns to mass equal numbers of particles and antiparticles are produced.
What is the matter? . . . . Where is the antimatter?
Matter-antimatter asymmetry in the Universe
What is the matter? . . . . Where is the antimatter?
When energy turns to mass equal numbers of particles and antiparticles are produced.
This observation creates problems for our understandingof the present day Universe, which appears to containonly matter and essentially no antimatter
What is the matter? . . . . Where is the antimatter?
The Universe began with a “Big Bang” about 15 billion years ago
-270o
?
heavy elements formed in stars
stars and galaxies exist, atoms form
neutrons
quark "soup"
15 billion years
1 million years
1 second
10-10
1015deg 1010deg109deg
6000o
-255o
3 minuteshelium nuclei formed
microwave background radiation fills universe
300,000 years
4000o
life on earth, molecules form
dominates matter
and protons formed
1 billion years
s
Big Bang
Big Bang
Evolution of the Universe
The Big Bang
What happenedat times less than 10-9s is uncertain
What is the matter? . . . . Where is the antimatter?
Evolution with matter-antimatter symmetry
Eventually such a universe contains only photons(almost true for our Universe - cosmic microwave background)
What is the matter? . . . . Where is the antimatter?
The Sakharov conditions
Antimatter can turn into matter if:
(a) proton decay occurs(b) there is a matter-antimatter
asymmetry (CP violation)(c) there is thermal non-
equilibrium
Sakharov (1964)
What is the matter? . . . . Where is the antimatter?
Proton decay
Life on earth implies protons exist, on average, for >1023 secondsSearches for proton decay have set limits >1032 seconds
d
u
u
X
e+
u
u-
proton
0
Proton decay convertsquarks into leptons - important only in early stages of the Big Bang but a small effect will remain
However antiprotons will decay similarly
What is the matter? . . . . Where is the antimatter?
Parity violationMacroscopic systems obey the same physical laws in a mirror system, e.g. planetary motion “parity conservation”.
-decay (weak interaction) does not conserve parity.
Discovered in 1956 in polarized 60Co decay.
θ θ
cos1)(cv
I
What is the matter? . . . . Where is the antimatter?
P violation - CP conservation
Parity violation leads to an asymmetry for neutrinos -only left-handed ones exist.
L
L
R
R
CPC
P
Changing particle to antiparticle (C) then applying the parity operation (P) produces the right-handed antineutrino, which exists
“CP conservation”
What is the matter? . . . . Where is the antimatter?
Matter-antimatter asymmetry
In 1964 it was discovered that the radioactive decay of antimatter differs by a tiny amount from the decay of matter.
Since then progress in understanding has been very slow:
• experiments are very difficult;
• astronomy is an observational science, not experimental (cannot repeat the Big Bang).
BUT we have learned that the matter-antimatter asymmetry can only occur if there are three pairs of quarks.
What is the matter? . . . . Where is the antimatter?
CP violation in K0 decays
d
s-
s
d-
K0 K0-
W W
u,c,t
u,c,t- - -
Phases of the amplitudes for the two processes are not equal‘CP violation’ (1964)
Occurs only because there are three families of quarks
s-
d
d-
s
K0K0-
u,c,t
u,c,t- - -
W W
What is the matter? . . . . Where is the antimatter?
CP violation
5 10 15 20 25 30
106
105
104
103
102
101
CO
UN
TS
/ 0
.5 x
10
-10 s
(10-10s)
5 10 15 (10-10s)
k0 + - DISTRIBUTION
Leads to beautiful interference effects and non-exponential decay distributions
What is the matter? . . . . Where is the antimatter?
A universe with CP violation
Perhaps one in every 109 antiquarks turned into a quark very early in the life of the Universe
After the matter-antimatter annihilation a small amount of matter will be left (about one proton for 109 photons)
What is the matter? . . . . Where is the antimatter?
Current problems
1. We have never observed proton decay
2. Precise measurements of CP violation in K0 decay are difficult and there are uncertain theoretical corrections
3. Cosmological models do not easily explain the ratio of 109 photons for each proton in the Universe
What is the matter? . . . . Where is the antimatter?
CP violation in B0 decays
Similar effect expected in B0
d
b-
b
d-
B0 B0-
W W
u,c,t
u,c,t- - -
First measurements starting 1999, Stanford, California
d
d-
b
B0B0-
u,c,t
u,c,t- - -b-
W W
What is the matter? . . . . Where is the antimatter?
Weak decay eigenstates
What is the matter? . . . . Where is the antimatter?
In the Standard Model the weak decay eigenstates are
d'
u
s'
cand
where d’ and s’ are a mixture of d and s of the form
d’= d cosθc + s sinθc
s’= -d sinθc + s cosθc
We write this as
s
d
cossin-
sincos
s'
d'
cc
cc
CP violation parameters
What is the matter? . . . . Where is the antimatter?
Further, there are relations among the elements of V such as
Vud V*ub + Vcd V*
cb + Vtd V*tb = 0
that can be represented by a triangle.
It is a condition for CP violation to occur that is non-zero.
CP violation parameters
What is the matter? . . . . Where is the antimatter?
Prior to 1999 the shape of this triangle had been approximatelydetermined from measurement of several parameters of V.However the angle had not been measured directly.
BaBar experiment at SLAC
What is the matter? . . . . Where is the antimatter?
The process e+e- B0B0
What is the matter? . . . . Where is the antimatter?
e
9.0 GeV e- 3.1 GeV e+
Centre of mass energy = 10.58 GeV - a resonanceenergy for the production of B0 B0
B0 and B0 are moving in the laboratory system
B0
B0
B decays
What is the matter? . . . . Where is the antimatter?
The two particles decay
We identify themand measure theseparation of thedecay points
The separation (typically 1mm)is translated to atime difference(typically 1ps)
Predicted distributions
What is the matter? . . . . Where is the antimatter?
Without CP violationthe distribution of t is exponential
We measure many examples of the process to produce adistribution in t
(a) CP violation makes thedistribution asymmetric(b) experimental resolutionmodifies it
Evidence for CP violation
What is the matter? . . . . Where is the antimatter?
The data show clear evidence of CP violation
The size of the effect isconsistent with the prediction of theStandard Model ofparticle physics
Values of sin 2
What is the matter? . . . . Where is the antimatter?
Recently direct measurements have been made(summer 2002 values)
OPAL 3.2+1.8-2.0±0.5
CDF 0.79+0.41-0.44
ALEPH 0.84+0.84-1.05
Belle 0.72 ± 0.07 ± 0.04BaBar 0.75 ± 0.09 ± 0.04
SummaryThe everyday world is made from up and down quarks and the electron.
Experiments tell us that six quarks and six leptons exist.
The “extra” ones seem to be needed to explain why there is an asymmetry between matter and antimatter and hence why we exist.
However it is likely to be a long time before we have a good understanding of what happened in the first fraction of a second of the Universe’s existence
What is the matter? . . . . Where is the antimatter?
THE ENDThere follows 6 slides showing a series of summary sheets which have been sent out to schools throughout the UK.
What is the matter? . . . . Where is the antimatter?
What is the matter?Where is the antimatter?
Particle Physics Summary Sheets - the story so far
GO
Exam
ple of Poste
r No.1
Exam
ple of Poste
r No.2
Exam
ple of Poste
r No.3
Exam
ple of Poste
r No.4
Exam
ple of Poste
r No.5
Exam
ple of Poste
r No.6
Particle Physics Summary Sheets - the story so far
Available as double sided A4 sheets for individual student use, or as a set of 6 single sided A3 wall posters, they are
entitled 'Particle Physics - the story so far'.
For details of how to get the summary sheets and posters call 01784 443448 or
e-mail: [email protected]