Title: 14'1Early Discoveries
1CHAPTER 14Elementary Particles
- 14.1 Early Discoveries
- 14.2 The Fundamental Interactions
- 14.8 Accelerators
- 14.3 Classification of Elementary Particles
- 14.4 Conservation Laws and Symmetries
- 14.5 Quarks
- 14.6 The Families of Matter
- 14.7 Beyond the Standard Model
Steven Weinberg (1933 - )
I have done a terrible thing I have postulated
a particle that cannot be detected. Wolfgang
Pauli (after postulating the existence of the
neutrino)
If I could remember the names of all these
particles, Id be a botanist. Enrico Fermi
2Elementary Particles
- Finding answers to some of the basic questions
about nature is a foremost goal of science - What are the basic building blocks of matter?
- What is inside the nucleus?
- What are the forces that hold matter together?
- How did the universe begin?
- Will the universe end, and if so, how and when?
314.1 Early Discoveries
- In 1930 the known elementary particles were the
proton, the electron, and the photon. - Thomson identified the electron in 1897, and
Einstein defined the photon in 1905. The proton
is the nucleus of the hydrogen atom. - Despite the rapid progress of physics in the
first couple of decades of the twentieth century,
no more elementary particles were discovered
until 1932, when Chadwick proved the existence of
the neutron. - That would have seemed sufficient
James Chadwick (1891-1974)
4But particle physics measurements were happening
Energetic particles collide with stationary
particles in a bubble chamber, vaporizing the
nearby matter and leaving a visible track.
A magnetic field (pointing into the screen)
causes charged particles to take curved paths.
5The Positron
- In 1928 Dirac introduced the relativistic theory
of the electron when he combined quantum
mechanics with special relativity. - He found that his wave equation had negative, as
well as positive, energy solutions. - His theory can be interpreted as a vacuum being
filled with an infinite sea of electrons with
negative energies. - If enough energy is transferred to the sea, an
electron can be ejected with positive energy
leaving behind a hole that is the positron,
denoted by e.
Paul Dirac (1902-1984)
Electron positron
Vacuum
0
E
6Anti-particles
- Diracs theory yields anti-particles, which
- Have the same mass and lifetime as their
associated particles. - Have the same magnitude but are opposite in sign
for such physical quantities as electric charge
and various quantum numbers.
All particles, even neutral ones (with some
exceptions like the neutral pion), have
antiparticles.
Magnetic field into screen
7The Positron
Cosmic rays are highly energetic particles,
mostly protons, that cross interstellar space and
enter the Earths atmosphere, where their
interaction with particles creates cosmic
showers of many distinct particles.
- Carl Anderson identified the positron in cosmic
rays. It was easy it had positive charge and was
light.
Andersons cloud chamber photo of positron track
Carl Anderson (1905-1991)
8Positron-Electron Interaction
- The ultimate fate of positrons (anti-electrons)
is annihilation with electrons. - After a positron slows down by passing through
matter, it is attracted by the Coulomb force to
an electron, where it annihilates through the
reaction
All anti-matter eventually meets the same fate.
A lot of energy is released in this process all
of the matter is converted to energy.
Star Treks dilithium crystals supposedly
contain anti-matter, which powers the Enterprise.
9Feynman Diagrams
- Feynman presented a particularly simple graphical
technique to describe interactions. - It predicts that, when two electrons approach
each other, according to the quantum theory of
fields, they exchange a series of photons called
virtual photons, because they cannot be directly
observed. - The action of the electromagnetic field (for
example, the Coulomb force) can be interpreted as
the exchange of photons. In this case we say that
the photons are the carriers or mediators of the
electromagnetic force.
Example of a Feynman space-time diagram.
Electrons interact through mediation of a photon.
The axes are normally omitted.
10Yukawas Meson
- The Japanese physicist Hideki Yukawa had the idea
of developing a quantum field theory that would
describe the force between nucleonsanalogously
to the electromagnetic force. - To do this, he had to determine the carrier or
mediator of the nuclear strong force analogous to
the photon in the electromagnetic force which he
called a meson (derived from the Greek word meso
meaning middle due to its mass being between
the electron and proton masses).
Hideki Yukawa (1907-1981)
11Yukawas Meson
- Yukawas meson, called a pion (or pi-meson or
p-meson), was identified in 1947 by C. F. Powell
(19031969) and G. P. Occhialini (19071993) - Charged pions have masses of 140 MeV/c2, and a
neutral pion p0 was later discovered that has a
mass of 135 MeV/c2, a neutron and a proton. -
Feynman diagram indicating the exchange of a pion
(Yukawas meson) between a neutron and a proton.
12Other Mesons, Quarks, and Gluons
- Yukawas pion is responsible for the nuclear
force. - Later well see that the nucleons and mesons are
part of a general group of particles formed from
even more fundamental particles quarks. The
particle that mediates the strong interaction
between quarks is called a gluon (for the glue
that holds the quarks together) its massless
and has spin 1, just like the photon.
Computed image of quarks and gluons in a nucleon
13The Weak Interaction
- In the 1960s Sheldon Glashow, Steven Weinberg,
and Abdus Salam predicted that particles that
they called W (for weak) and Z should exist that
are responsible for the weak interaction. - They have been observed.
Abdus Salam (1926-1996)
Sheldon Glashow (1932- )
14The Graviton
- It has been suggested that the particle
responsible for the gravitational interaction
be called a graviton. - The graviton is the mediator of gravity in
quantum field theory and has been postulated
because of the success of the photon in quantum
electrodynamics theory. - It must be massless, travel at the speed of
light, have spin 2, and interact with all
particles that have mass-energy. - The graviton has never been observed because of
its extremely weak interaction with objects.
15The Fundamental Interactions
One of the main goals of particle physics is to
unify these forces (to show that theyre all just
different aspects of the same force), just as
Maxwell did for the electric and magnetic forces
many years earlier.
16The Fundamental Interactions
A finite range effectively confines the particle,
which, by the uncertainty principle, gives it a
minimal momentum and hence a minimum kinetic
energy and mass. Photons and gravitons are
massless. W and Z bosons are heavy.
1714.8 Accelerators
Particle accelerators generate high enough
energies to create particles 1 GeV/c2 or greater.
18Accelerators
- There are three main types of accelerators used
presently in particle physics experiments
synchrotrons, linear accelerators, and colliders.
19Synchrotron Radiation
- One difficulty with cyclic accelerators is that
when charged particles are accelerated, they
radiate electromagnetic energy called
synchrotron radiation. This problem is
particularly severe when electrons, moving very
close to the speed of light, move in curved
paths. If the radius of curvature is small,
electrons can radiate as much energy as they
gain. - Physicists have learned to take advantage of
these synchrotron radiation losses and now build
special electron accelerators (called light
sources) that produce copious amounts of photon
radiation used for both basic and applied
research.
20Linear Accelerators
- Linear accelerators or linacs typically have
straight electric-field-free regions between gaps
of RF voltage boosts. The particles gain speed
with each boost, and the voltage boost is on for
a fixed period of time, and thus the distance
between gaps becomes increasingly larger as the
particles accelerate. - Linacs are sometimes used as pre-acceleration
device for large circular accelerators.
21Colliders
- Because of the limited energy available for
reactions like that found for the Tevatron,
physicists decided they had to resort to
colliding beam experiments, in which the
particles meet head-on. - If the colliding particles have equal masses and
kinetic energies, the total momentum is zero and
all the energy is available for the reaction and
the creation of new particles.
22Large Hadron Collider
Counter-propagating protons will each have an
energy of 7 TeV, giving a total collision energy
of 14 TeV. The LHC can also be used to collide
heavy ions such as lead (Pb) with a collision
energy of 1,150 TeV.
2314.3 Classification of Elementary Particles
- Particles with half-integral spin are called
fermions and those with integral spin are called
bosons. - This is a particularly useful way to classify
elementary particles because all stable matter in
the universe appears to be composed, at some
level, of constituent fermions. - Fermions obey the Pauli Exclusion Principle.
Bosons dont.
Photons, gluons, W, and the Z are called gauge
bosons and are responsible for the strong and
electroweak interactions. Gravitons are also
bosons, having spin 2. Fermions exert attractive
or repulsive forces on each other by exchanging
gauge bosons, which are the force carriers.
24The Higgs Boson
-
- One other boson that has been predicted, but not
yet detected, is necessary in quantum field
theory to explain why the W and Z have such
large masses, yet the photon has no mass. - This missing boson is called the Higgs particle
(or Higgs boson) after Peter Higgs, who first
proposed it. - The Standard Model proposes that there is a field
called the Higgs field that permeates all of
space. - By interacting with this field, particles acquire
mass. Particles that interact strongly with the
Higgs field have heavy mass particles that
interact weakly have small mass. - The Higgs boson is very heavy, and it hasnt
been observed yet. - The search for the Higgs boson is of the highest
priority in elementary particle physics.
25Boson Properties
26Leptons electrons, muons, taus neutrinos
- The leptons are perhaps the simplest of the
elementary particles. - They appear to be point-like, that is, with no
apparent internal structure, and seem to be truly
elementary.
Thus far there has been no plausible suggestion
they are formed from some more fundamental
particles. Each of the leptons has an associated
neutrino, named after its charged partner (for
example, muon neutrino). There are only six
leptons plus their six antiparticles.
27Muon and tau decay
-
- The muon decays into an electron, and the tau can
decay into an electron, a muon, or even hadrons. - The muon decay (by the weak interaction) is
28Neutrinos
Picture of the sun, taken not with light, but
with neutrinos, made at the Japanese neutrino
observatory Super-Kamiokande.
- Neutrinos have zero charge.
- The electron neutrino occurs in the beta decay
of the neutron. - Their masses are known to be very small. The
precise mass of neutrinos may have a bearing on
current cosmological theories of the universe
because of the gravitational attraction of mass. - Like all other leptons, they have spin 1/2, and
all three neutrinos have been identified
experimentally. - Neutrinos are particularly difficult to detect
because they have no charge and little mass, and
they interact very weakly (they easily pass
through the earth!).
29Neutrino Oscillations
- One of the most perplexing problems over the
last three decades has been the solar neutrino
problem the number of neutrinos reaching Earth
from the sun is a factor of 2 to 3 too small if
our understanding of the energy-producing
(nuclear fusion) is correct. - Neutrinos come in three varieties or flavors
electron, muon, and tau. The solution was found
when researchers saw neutrinos generated in the
Earths atmosphere (from cosmic rays) changing or
oscillating into another flavor (the sun only
emits electron neutrinos). - Also, this could only happen if neutrinos have
mass.
30Hadrons
- Hadrons are particles that act through the
strong force. - Two classes of hadrons mesons and baryons.
- Mesons are particles with integral spin having
masses greater than that of the muon (106
MeV/c2). (Mesons are made up of pairs of quarksa
quark and an anti-quark.) Theyre unstable and
rare. - Baryons have masses at least as large as the
proton and have half-integral spins. Baryons
include the proton and neutron, which make up the
atomic nucleus, but many other unstable baryons
exist as well. The term "baryon" is derived from
the Greek ßa??? (barys), meaning "heavy," because
at the time of their naming it was believed that
baryons were characterized by having greater mass
than other particles. (Theyre made up of three
quarks.) All baryons decay into protons.
31The Hadrons
32Particles and Lifetimes
- The lifetimes of particles are also indications
of their force interactions. - Particles that decay through the strong
interaction are usually the shortest-lived,
normally decaying in less than 10-20 s. - The decays caused by the electromagnetic
interaction generally have lifetimes on the order
of 10-16 s, and - The weak interaction decays are even slower,
longer than 10-10 s.
33Fundamental and Composite Particles
- We call certain particles fundamental this means
that they are not composed of other, smaller
particles. We believe leptons, quarks, and gauge
bosons are fundamental particles. - Although the Z and W bosons have very short
lifetimes, they are regarded as particles, so a
definition of particles dependent only on
lifetimes is too restrictive. - Other particles are composites, made from the
fundamental particles.
3414.4 Conservation Laws
- Physicists like to have clear rules or laws that
determine whether a certain process can occur or
not. - It seems that everything occurs in nature that is
not forbidden. - Certain conservation laws are already familiar
from our study of classical physics. These
include mass-energy, charge, linear momentum, and
angular momentum. - These are absolute conservation laws they are
always obeyed.
Additional conservation laws will be helpful in
understanding the many possibilities of
elementary particle interactions. Some of these
laws are absolute, but others may be valid for
only one or two of the fundamental interactions.
35Baryon Conservation
- In low-energy nuclear reactions, the number of
nucleons is always conserved. - Empirically this is part of a more general
conservation law for what is assigned a new
quantum number called baryon number that has the
value B 1 for baryons and -1 for anti-baryons,
and 0 for all other particles. - The conservation of baryon number requires the
same total baryon number before and after the
reaction. - Although there are no known violations of baryon
conservation, there are theoretical indications
that it was violated sometime in the beginning of
the universe when temperatures were quite high.
This is thought to account for the preponderance
of matter over anti-matter in the universe today.
36Lepton Conservation
- The leptons are all fundamental particles, and
there is a conservation of leptons for each of
the three kinds (families) of leptons. - The number of leptons from each family is the
same both before and after a reaction. - We let Le 1 for the electron and the electron
neutrino Le -1 for their antiparticles and
Le 0 for all other particles. - We assign the quantum numbers Lµ for the muon and
its neutrino and Lt for the tau and its neutrino
similarly. - Thus three additional conservation laws.
37Strangeness
- The behavior of the K mesons seemed very odd.
- There is no conservation law for the production
of mesons, but it appeared that K mesons, as well
as the ? and S baryons, were always produced in
pairs in the p p reaction. One would expect the
K0 meson to also decay into two photons very
quickly, but it does not. - A new quantum number was defined Strangeness, S,
which is conserved in the strong and
electromagnetic interactions, but not in the weak
interaction. - The kaons have S 1, lambda and sigmas have S
-1, the xi has S -2, and the omega has S -3. - When the strange particles are produced by the p
p strong interaction, they must be produced in
pairs to conserve strangeness.
38Strangeness is strange
- p0 can decay into two photons by the strong
interaction, it is not possible for K0 to decay
at all by the strong interaction. The K0 is the
lightest S 0 particle, and there is no other
strange particle to which it can decay. It can
decay only by the weak interaction, which
violates strangeness conservation. -
- Because the typical decay times of the weak
interaction are on the order of 10-10 s, this
explains the longer decay time for K0. - Only ?S 1 violations are allowed by the weak
interaction.
39Hypercharge
- One more quantity, called hypercharge, has also
become widely used as a quantum number. - The hypercharge quantum number Y is defined by Y
S B. - Hypercharge, the sum of the strangeness and
baryon quantum numbers, is conserved in strong
interactions. - The hypercharge and strangeness conservation laws
hold for the strong and electromagnetic
interactions, but are violated for the weak
interaction.
40Symmetries
- Symmetries lead directly to conservation laws.
- Three symmetry operators called parity, charge
conjugation, and time reversal are considered.
41The Conservation of Parity P
- The conservation of parity P describes the
inversion symmetry of space, -
- Inversion, if valid, does not change the laws of
physics. - The conservation of parity is valid for the
strong and electromagnetic interactions, but not
for the weak interaction (experimentally).
42Charge conjugation C
- Charge conjugation C reverses the sign of the
particles charge and magnetic moment. - It has the effect of interchanging every particle
with its antiparticle. - Charge conjugation is valid for the strong and
electromagnetic interactions, but it is also not
conserved in the weak interactions. - Even though both C and P are violated for the
weak interaction it was believed that when both
charge conjugation and parity operations are
performed (called CP), conservation was still
valid.
43Time Reversal T
- Here time t is replaced with t.
- When all three operations are performed (CPT),
where T is the time reversal symmetry,
conservation holds. - We speak of the invariance of the symmetry
operators, such as T, CP, and CPT.
44Unifying all these interactions proved difficult.
In the 1950s, it was rumored that Heisenberg had
done it, and just the details remained to be
sketched in. But nothing ever emerged from
Heisenberg. So Wolfgang Pauli responded with the
following Below is the proof that I am as great
an artist as Rembrandt the details remain to be
sketched in.
45The Weak Interaction The Electroweak Theory
- In the 1960s Sheldon Glashow, Steven Weinberg,
and Abdus Salam unified the electro-magnetic and
weak interactions into what they called the
electroweak theory, much as Maxwell had unified
electricity and magnetism into the
electromagnetic theory a hundred years earlier.
Abdus Salam (1926-1996)
Sheldon Glashow (1932- )
46Unification of the Strong and Electroweak
Interactions The Standard Model
- Over the latter half of the 20th century,
numerous physicists combined efforts to generate
The Standard Model. - It is a widely accepted theory of elementary
particle physics at present. - It is a relatively simple, comprehensive theory
that explains hundreds of particles and complex
interactions with six quarks, six leptons, and
three force-mediating particles. - It is a combination of the electroweak theory and
quantum chromodynamics (QCD), but does not
include gravity.
47Quarks
Murray Gell-Mann (1929- )
In 1963 Murray Gell-Mann and, independently,
George Zweig proposed that hadrons were formed
from fractionally charged particles called
quarks. The quark theory successfully described
the properties of the particles and reactions and
decay.
Three quarks were proposed, named the up (u),
down (d), and strange (s), with the charges
2e/3, -e/3, and -e/3, respectively. The strange
quark has the strangeness value of -1, whereas
the other two quarks have S 0. Quarks are
believed to be essentially point-like, just like
leptons. With these three quarks, all the known
hadrons (at the time) could be specified by some
combination of quarks and anti-quarks.
48Charm, Truth, and Beauty
- A fourth quark called the charmed quark (c) was
proposed to explain some additional discrepancies
in the lifetimes of some of the known particles. - A new quantum number called charm C was
introduced so that the new quark would have C
1 while its anti-quark would have C -1 and
particles without the charmed quark have C 0. - Charm is similar to strangeness in that it is
conserved in the strong and electromagnetic
interactions, but not in the weak interactions.
This behavior was sufficient to explain the
particle lifetime difficulties. - Two additional quarks, top and bottom (or truth
and beauty), were also required to construct some
exotic particles (the Upsilon-meson).
49Quark Properties
The spin of all quarks (and anti-quarks) is 1/2.
50Quark Description of Particles
- Baryons normally consist of three quarks or
anti-quarks. - A meson consists of a quark-anti-quark pair,
yielding the required baryon number of 0.
51Quark Description of Particles
- A meson consists of a quark-anti-quark pair,
which gives the required baryon number of 0.
Baryons normally consist of three quarks. - The structure is quite simple. For example, a p -
consists of ud, which gives a charge of (-2e/3)
(-e/3) -e, and the two spins couple to give 0
(-1/2 1/2 0). - A proton is uud, which gives a charge of (2e/3)
(2e/3) (-e/3) e its baryon number is 1/3
1/3 1/3 1 and two of the quarks spins
couple to zero, leaving a spin 1/2 for the proton
(1/2 1/2 - 1/2 1/2).
52Other Particles
- What about the quark composition of the O-, which
has a strangeness of S -3? Its quark
composition is sss. And its charge is 3(-e/3)
-e, and its spin is due to three quark spins
aligned, 3(1/2) 3/2. There is no other
possibility for a stable omega (lifetime 10-10
s) in agreement with the table.
53Quantum Chromodynamics (QCD)
- Because quarks have spin 1/2, they are all
fermions. According to the Pauli exclusion
principle, no two fermions can exist in the same
state. Yet we have three identical strange quarks
in the O-! - This is not possible unless some other quantum
number distinguishes each of these quarks in one
particle. - A new quantum number called color circumvents
this problem and its properties establish quantum
chromodynamics (QCD).
Discovery of the W-
54Color
- There are three colors for quarks we call red
(R), green (G), and blue (B) with anti-quark
color antired ( ) antigreen ( ) and antiblue
( ). (A bar above the symbol is usually used
to describe the anti-color). - Color is the charge of the strong nuclear
force, analogous to electric charge for
electromagnetism.
55Color
Quantum electrodynamics and quantum
chromodynamics, are similar in structure color
is often called color charge and the force
between quarks is sometimes referred to as color
force. Earlier we saw that gluons are the
particles that hold the quarks together. Below is
a Feynman diagram of two quarks interacting. A
red quark comes in from the left and interacts
with a blue quark coming in from the right. They
exchange a gluon, changing the blue quark into a
red one and the red quark into a blue one.
56Color
A color and its anti-color cancel out. We call
this colorless (or white). All hadrons are
colorless. In the figure, the gluon itself must
have the color in order for the diagram
to work. Quarks change color when they emit or
absorb a gluon, and quarks of the same color
repel, whereas quarks of different color attract.
57Color
To finish the story we should mention that the
six different kinds of quarks are referred to as
flavors. There are six flavors of quarks (u, d,
s, c, b, t). Each flavor has three colors.
Finally, how many different gluons are possible?
Using the three colors red, blue, and green,
there are nine possible combinations for a gluon.
They are Note in the diagram that the gluon is
and not . The combination does not
have any net color change and cannot be
independent. Therefore, there are only eight
independent gluons, and that is what quantum
chromodynamics predicts. Gluons can interact
with each other because each gluon carries a
color charge. Note that in this case gluons, as
the mediator of the strong force, are much
different from photons, the mediator of the
electromagnetic force.
58Quark-anti-quark creation
- Physicists now believe that free quarks cannot be
observed they can only exist within hadrons.
This is called confinement. - This occurs because the force between the quarks
increases rapidly with distance, and the energy
supplied to separate them creates new quarks.
59Confinement
60The Families of Matter
The three generations (or families) of matter.
Note that both quarks and leptons exist in three
distinct sets. One of each charge type of quark
and lepton make up a generation. All visible
matter in the universe is made from the first
generation second- and third-generation
particles are unstable and decay into
first-generation particles.
61The Families of Matter
- Most of the mass in the universe is made from the
components in the first generation (electrons and
u and d quarks). -
- The second generation consists of the muon, its
neutrino, and the charmed and strange quarks. The
members of this generation are found in certain
astrophysical objects of high energy and in
cosmic rays, and are produced in high-energy
accelerators. - The third generation consists of the tau and its
neutrino and two more quarks, the bottom (or
beauty) and top (or truth). The members of this
third generation existed in the early moments of
the creation of the universe and can be created
with very high energy accelerators.
62Grand Unifying Theories (GUTs)
- There have been several attempts toward a grand
unified theory (GUT) to combine the weak,
electromagnetic, and strong interactions and
explain why - Current experimental measurements have shown the
proton lifetime to be greater than 1032 years.
Current theory has it at 10-29 to 10-31 years. - Neutrinos may have a small, but finite, mass.
This has been confirmed. - Massive magnetic monopoles may exist. If one
exists anywhere in the universe, it explains why
charge is quantized. There is presently no
confirmed experimental evidence for magnetic
monopoles. - The proton and electron electric charges should
have the same magnitude.
63Another challengeMatter-Antimatter
Could this galaxy be made entirely of anti-matter?
- According to the Big Bang theory, matter and
antimatter should have been created in exactly
equal quantities. But it appears that matter
dominates over antimatter now in our universe,
and the reason for this has puzzled physicists
and cosmologists for years. - Events in the early universe may be responsible
for this asymmetry. But explanations go far
beyond the standard model.
64Including Gravity String Theory
- For the last two decades there has been a
tremendous amount of effort by theorists in
string theory, which has had several variations.
The addition of super-symmetry resulted in the
name theory of super-strings. - In super-string theory, elementary particles do
not exist as points, but rather as tiny, wiggling
loops that are only 10-35 m in length. - Further work has revealed that they describe not
just strings, but other objects including
membranes and higher-dimensional objects. The
addition of membranes has resulted in brane
theories. - Presently super-string theory is a promising
approach to unify the four fundamental forces,
including gravity.
65Super-symmetry
- Super-symmetry is a necessary ingredient in
many of the theories trying to unify all four
forces of nature. - The symmetry relates fermions and bosons. All
fermions will have a super-partner that is a
boson of equal mass, and vice versa. - The super-partner spins differ by h / 2.
- Presently, none of the known leptons, quarks, or
gauge bosons can be identified with a
super-partner of any other particle type.
66M-theory
- Recently theorists have proposed a successor to
super-string theory called M-theory. - M-theory has 11 dimensions (ten spatial and one
for time) and predicts that strings coexist with
membranes, called branes for short. - The number of particles that have been predicted
from a variety of different theories include the
fancifully named sleptons, squarks, axions,
winos, photinos, zinos, gluinos, and preons. - Only through experiments (which no one currently
knows how to do) will scientists be able to wade
through the vast number of unifying theories.