If someone asked you to graph the progress
of science in the past hundred years, what
would you plot? The number of doctorates
earned? Journals started? Articles cited? Grants
awarded? The answers vary from discipline to discipline,
from decade to decade and, of course, from analyst to
analyst. But not all the answers are arbitrary Some of them
stare you in the face. For much of the twentieth century
the obvious measure of the health of subatomic physics was
a number expressed in electron volts: the energy of a class
of machines known as particle accelerators.
By that standard subatomic physics was a flourishing
enterprise indeed. From the cathode-ray tube with which, in
1897, the English physicist J. J. Thomson discovered the
electron, to a palm-size cyclotron the American physicist
Ernest O. Lawrence built in 1931, the energy increased
about 200 times-from hundreds of electron volts to
almost 100,000. In 1952 the Brookhaven National Laboratory
on Long Island, New York, broke the billion mark
with its three-billion-electron-volt (3 GeV) Cosmotron.
Two decades later, the four-mile-long proton-antiproton
collider at Fermilab, in Batavia, Illinois, reached 400 GeV;
since then, superconducting magnets have raised its
energy to 1.8 trillion electron volts (TeV), the highest of any
particle accelerator in the world.
The big numbers are not empty status symbols, like the
heights of skyscrapers. Rather, they measure the capabilities
of research tools built for a well-defined purpose: to create
a beam of charged particles (electrons, protons, helium
nuclei or something more exotic), shoot it at a target and
record the results. Because any target, whether another
beam or a solid object, is mostly empty space, almost all the
particles in the beam hurtle through the target unobstructed.
But a few strike other particles, with results that can be
much more interesting than a mere collision: the matter and
energy of the particles in the smashup can recombine,
constrained by appropriate conservation laws, to create
unheard-of or even outlandish assemblages of matter.
Those assemblages — new elementary particles — are what
physicists sought in their accelerators. At first they were
almost embarrassingly successful: new particles seemed to turn
up virtually every week. Some of them were fleeting, lasting
barely long enough to move away from the collision site
before they disintegrated into showers of decay products.
Theorists such as Murray Gell-Mann, then at the California
Institute of Technology and Yuval Ne'eman, then at Imperial
College, London, discovered order in the growing
menagerie of particles. In 1964 they and George Zweig, also of
Caltech, independently proposed what became known as the
theory of quarks — a system that tied the known particles
together in an elegant mathematical web and predicted
additional particles that should exist. Experimenters, eager to fill
the empty cages, made even deeper forays into the high-energy
wilderness and brought back ever more exotic beasts.
Today the particle zoo numbers in the hundreds. The
roster of quarks has grown from a trio to a sextet: up, down,
strange, charm, bottom (or beauty) and — after long
searching and several false starts — top (or truth) [see Quanta:
"Now We Are Six," by Ted Anton, July/August l994]. The
push toward higher energies continues, despite the recent
budgetary demise of the most ambitious particle accelerator
of all, the Superconducting Super Collider. At
Brookhaven workers are building the Relativistic Heavy-Ion
Collider, a machine that will push gold nuclei to energies
of twenty trillion electron volts each. At CERN, the
European Laboratory for Particle Physics outside Geneva,
Switzerland, the Large Hadron Collider, a fourteen-TeV
proton-proton collider, is scheduled to go on-line by 2005.
Yet in the stampede toward higher energies, the up and
down quarks that make up the protons and neutrons of
ordinary atoms came to seem humdrum. Next to their four
glamorous cousins, the up and down quarks looked somehow
mundane, common-even boring.
That is a shame, for ordinary matter has a lot to recommend
it as an object of study. First, it is durable; that is why
it is ordinary matter. Exotic particles may flash into existence
for a few quadrillionths of a second or less; the proton,
depending on whose theory you accept, lasts either
forever or effectively forever — one experimentally determined
lower limit on its lifetime is 1032 years. Second — not
a trivial point — ordinary matter makes up almost all of the
observable universe. And third, it gives rise to a tremendous
variety of permutations. Chemists have not even come
close to synthesizing all the compounds possible with the
naturally occurring elements in the periodic table.
But the fascination goes much deeper. From the point of
view of atomic theory, chemistry is just a complicated dance
of clouds of electrons, wrapping, spreading, morphing and
merging in accordance with physical law. In the middle of
the electron swarm, occupying only one-quadrillionth the
volume of a typical atom, is the nucleus. That nuclear
fly-speck is made of protons and neutrons, particles collectively
known as nucleons. The nucleons, in turn, enclose another
world: a world almost cut off from the atomic world,
ruled by its own forces, subject to its own laws and
harboring its own chemistry: the chemistry of quarks.
Thirty-five years ago the richness of the nucleonic world
was entirely unsuspected. Since then theorists have sketched
a good general outline of what ought to be its general
features. The details of its topography however, are only
beginning to be glimpsed. For mapping them, the violent
techniques of high-energy physics are all but useless. Instead
of blasting their way in, physicists must take a subtler
approach: tickling a proton or a neutron with a beam finely
tuned to nudge its quarks into new configurations.
The flagship of the gentle approach to
particle physics is a new laboratory which
the physics community has had under design
and construction since the early 1980s. For most of that
time the laboratory located in Newport News, Virginia,
has been known as CEBAF, the Continuous Electron Beam
Accelerator Facility. On May 23, 1996, the facility was
officially opened for business, and at its ribbon-cutting
ceremony it was renamed the Thomas Jefferson National
Accelerator Facility — informally, the Jefferson Lab.
The Jefferson Lab is designed to investigate the structure
of the nucleus and its nucleons at a scale at which quarks
become important. It is made up mainly of an electron
accelerator shaped like a racetrack seven-eighths of a mile
around, buried in a tunnel twenty-five feet underground.
The electrons are accelerated by a rapid series of
electromagnetic pulses as they make as many as five passes around
the racetrack. The process imparts as much as four billion
electron volts of energy to the electrons — only one-half of
one percent the energy of the nucleon-vaporizing beams
generated by the big accelerators at Fermilab or CERN, but
ideal for the job the Jefferson Lab was designed to do.
Electrons, according to quantum mechanics, act sometimes
as particles and sometimes as waves. A billion electron
volts (1 GeV) of energy give rise to electrons whose
quantum-mechanical wavelengths are a little less than 10-15
meter. Such waves in effect become the illuminating
"light" of a giant microscope with just enough resolving
power to probe nucleons and the quarks that make them
up. One feature that makes the Jefferson Lab unique is the
high intensity and quality (that is, the precisely controlled
energy) of the electron beam.
In a typical experiment, physicists aim the beam at a
fixed target, often a thin film of carbon or iron, or a tube
of hydrogen or helium the size of a fat crayon. When the
electrons strike a nucleon or a constituent quark of a nucleon,
the collision can give rise to both short-lived and
long-lived particles, moving in all directions much like the
shards of glass from a light bulb struck by a bullet. By tracing
the trajectories of the particles backward, often through
several stages of decay, one can then draw conclusions
about the original interaction at the collision site, as well as
the cascade of subsequent reactions.
Easily the complicated pieces of
equipment at the Jefferson Lab are the detectors
that surround the collision sites. The devices,
which are called spectrometers, have been built by
collaborations of more than a hundred universities and
institutions in more than twenty countries worldwide. The
instruments reside in three cavernous underground chambers
at the end of the racetrack.
Halls A and C contain a total of four spectrometers, each
the size of a house. The two machines in Hall C can measure
the energy of a particle to within one part in a thousand;
their counterparts in Hall A are ten times as precise. The
resolution of those machines comes at a price: they are
positioned to detect particles only in the directions around the
collision site in which physicists most expect particles of
interest to emerge. Thus there is a fifth spectrometer, in
Hall B, which has a resolution of only one percent but can catch
particles emerging in almost any direction. That capability makes
it ideal for monitoring "High coincidence reactions" —
collisions that can send particles spraying out in many directions.
To see how it is possible to talk of quark
chemistry, think about conventional chemistry. One of
the signal successes of twentieth-century science
has been to show how chemical properties
of substances and reactions between substances result from
the structure and activity of atoms. The key is energy: the
heat that reactions release or absorb, the light that atoms
and molecules can emit in excited states, the strength of
chemical bonds. Early in this century the Danish physicist
Niels Bohr related that energy to the energy of the electrons
in an atom. Bohr suggested, presciently, that electrons
literally orbit the atomic nucleus — making the atom a solar
system in miniature. But in one crucial respect Bohr's
miniature solar system was quite unlike our sun and its nine
planets: the electrons could move from one orbit to another,
but they could not wander anywhere in between.
The orbits were said to be quantized.
The success of Bohr's idea — one of the earliest
manifestations of quantum mechanics — was its immediate
application to the emission lines in the electromagnetic spectrum
of an atom: pure, bright colors given off when an element
is heated. The discrete colors of the spectrum were explained
as the discrete quantity of energy released by the
atoms of the substance as the electrons orbiting the atoms
dropped from a relatively high energy orbit to a relatively
low energy one. The shorter the wavelength of the spectral
line, or in other words the more its color tended toward the
blue end of the spectrum, the longer the drop of the electrons
and the greater the energy released by the atoms; that
effect, among others, is what makes a blue flame much hotter
than a yellow one. The color of the emitted spectral line
is a precise measure of the difference in energy between the
higher-energy and the lower-energy electronic orbits.
Later, Bohr's idea of discrete electronic orbits gave way to
more abstract, mathematical descriptions of the energy states
of atoms. Those states are harder to imagine than Bohr's simple
picture (sometimes the states are described as the shape
of a "probability cloud" of electrons that surround the atomic
nucleus), but the central idea that spectral lines are signals
of transitions among the various energy states has remained
unchanged. When you couple that idea with the principle
that physical systems always tend to assume their lowest
available energy state, most of chemistry is laid out before you.
The atomic world is governed by the
force of electromagnetism. The cast of characters
is made up primarily of three particles:
the electrons and the protons, which respond to the force,
and the photons, which carry it. (Neutrons, though they
share the nucleus with protons, are unaffected by the force
and play only a token role in the drama.) Atoms are held
together by the attractive electromagnetic force between the
two kinds of electric charge: positive on the protons,
negative on the electrons. Atoms can become excited when
their electrons assume various energy states higher than
their lowest, or ground, state. And atoms can combine into
molecules when their electrons can assume a state of lower
total energy by intertwining with several nuclei than they
can by remaining bound to one nucleus.
Each of those features has a counterpart in the world
inside a nucleon. Electromagnetism holds negligible sway
here; although the quarks inside the nucleon do carry
electric charge, the electromagnetic force between them is
overwhelmed by the much more powerful color force, also
known as the strong nuclear force. (The electromagnetic
force still dominates outside the atomic nucleus, because
the color force acts only over an extremely short range.)
The particles corresponding to the electron and the proton
are the quarks. As I noted earlier, the quarks of primary
interest here are the ones having what physicists call the up
and down flavors. The particles corresponding to the photon
are gluons, which carry the color force.
Corresponding to the color force is the so-called color
charge, which is the analogue of electric charge. But
unlike electric charge — which comes in two varieties,
positive or negative — color charge comes in three
fundamental forms, generally called red, blue and green.
Quarks also have antiparticle partners — antiquarks — with
negative color charge: antired, antiblue and antigreen. A
final complication is that there are eight kinds of gluon,
which convey the color force from quark to quark. Most
gluons are themselves color charged. That too is in contrast
to the single kind of photon, which is electrically
neutral. One should not be misled into thinking that the
names of the color charges are anything but whimsical labels;
quarks and gluons have no colors, nor do they give
rise to spectrums of visible colors in any ordinary sense.
The colors interact according to rules about as complicated
as the instructions for a moderately challenging game
of solitaire: Like colors repel. Opposite colors (such as red
and antired) attract. And other pairs of colors (such as red
and blue) also attract, but more weakly. Perhaps the most
important rule is that the quarks must combine to make
particles that are colorless or "white." For example, a color
and its anticolor can combine to make a two-quark assembly
QUARKS MAY SOUND EXOTIC,
but they are governed by rules
about as complicated as
those for a game of solitaire.
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called a meson. Or by analogy with the rules for color
addition among ordinary primary colors, a particle can be
made up of three quarks of three colors or three anticolors.
A proton, for instance is made of two up quarks and a down
quark (uud); one quark (any of the three) must be red, one
must be blue and the third must be green. Similarly the
neutron is made of two down quarks and an up quark (ddu),
and again all three primary color charges must be present.
Probably the greatest conceptual barrier
to the study of quarks stems from that
requirement of color neutrality As usual, the
best way of explaining the matter is through analogy with
electromagnetism. A neutral atom or a neutral molecule
bears no net electric charge. Yet many of the constituents
of those particles are electrically charged, and they can
exist as independent particles (think of the electrons in a
current or the ions created in an electric storm). But bare net
color charge is never observed.
That fact raises curious questions about the nature of
quarks themselves: Since they carry a net color charge, how
can they themselves be observed? And if they cannot be singled
out, what status do they have as real particles? The
questions highlight the changing nature of scientific evidence.
Throughout the history of the study of matter we physicists
have been able to confirm our hypotheses about the basic
constituents of matter by distilling and isolating those
constituent particles. In the eighteenth and nineteenth centuries
chemists were busy isolating the elements before the English
chemist John Dalton could articulate his atomic theory or
the Russian chemist Dmitry I. Mendeleyev could organize
the elements into his periodic table. To confirm our ideas
about the structure of the atom, J. J. Thomson observed the
electron, and the New Zealand-born English physicist
Ernest Rutherford observed the nucleus. Likewise, when
the nucleus was first pulled apart, Rutherford was able to
observe the proton and the English physicist James Chadwick
was able to observe the neutron.
But no one has ever seen a free quark. In colliders, physicists
have created fireballs with a thousand times more
energy than is necessary to create or destroy a proton, yet a
free quark, whose mass is less than a third that of the
proton, has never been created. There are many good reasons
to think one never will be.
One way of understanding such "quark confinement" is
to picture the gluons as springs that always pull the quarks
back together, no matter how far apart they stretch. The
springs — technically flux tubes — never tangle and never
break. But what would happen if two quarks were somehow
pulled, say, a centimeter apart? Could they not then be
observed as discrete particles, the color-charge analogues of
an ionized atom or a free electron? According to the quark
model, the energy needed to pull quarks a centimeter apart
is so large that new quark matter would materialize out of
that energy long before the separation reached a centimeter.
In accordance with Einstein's famous formula that equates
mass with energy the new quark matter would combine
with the original quarks, and one would observe new,
colorless particles flying off in various directions.
Thus, in searching for evidence of the existence of
quarks, and for the ways they interact, one must be content
with indirect, albeit persuasive, evidence. At the Jefferson
Lab our strategy will be to build models of the proton and
the neutron out of quarks and then design experiments that
should give rise to the phenomena the models predict. But
more than just seeing whether the models work to describe
the proton and neutron, it will also be important to examine
the other ways quarks can combine, to see to what extent
our models really can explain those systems.
Given the quarks as building Blocks, and
given that they are bound by gluons, what
combinations and permutations might they
take on? It will come as no surprise that allowed
combinations are rather straightforward analogues of excited
atomic energy states or the molecules into which the various
atoms can combine.
For example, there is a quark analogue, inside the
nucleon, to the orbital energy levels of the electrons in an
atom. Think of the three quarks in a nucleon as whirling
NO ONE HAS EVER SEEN A FREE QUARK.
Begin pulling two quarks apart,
and more quark matter will materialize
into new quark assemblies.
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around one another like a system of three stars in space.
Then, just as energy impinging on an electron orbiting an
atomic nucleus can knock the electron into a higher orbit,
so energy impinging on a nucleon can knock one or more
of the quarks into a higher orbit, a higher energy state.
Such an excitation may account for a particle that has
already been detected, the Roper. Named after the physicist
L. David Roper, who discovered it in 1964 at the Lawrence
Berkeley Laboratory in Berkeley, California, the Roper
[also called the P11(1440)]
is a heavy particle whose mass is
more than one and a half times that of the proton.
Technically, it is an excited state of the proton. But something
even odder may be going on. Some physicists think that
what has been excited is not the quarks but the gluons. Recall
that in the model the gluons act as springs connecting
the quarks. But springs store energy in more than one way:
they can Hex, but they can also vibrate. Gluons may play a
similar role here. If so, the Roper could be made up of
three quarks still in their low-energy configuration, but
with the springs between them "plucked" and excited.
Whatever accounts for the Roper, at least twenty distinct
energy excitations for both the proton and the neutron have
been resolved, all probably analogous to the electronic
energy levels of the atom. Many others may be observable in
principle, though they may be too short-lived to be seen in
practice. In one respect, though, the spectrum of excited
states of a nucleon is quite different from the corresponding
spectrum of the atom. As with the Roper particle, the
excited nucleonic states are much more energetic than the
ground state-the ordinary neutron and proton. Indeed,
the energy differences are so great that the masses of
excited states are substantially larger than the mass of the ground
state. That is decidedly not the case for the electromagnetic
analogue. The primary reason is that the color force is so
much stronger than the electromagnetic force.
To understand two other important
kinds of particle we will search for at the
Jefferson Lab, one must go beyond the analogue
of the Bohr atom and consider more subtle
quantum-mechanical states. One kind of state depends on
a property known as spin.
To a first approximation, the spin of a particle is like the
English on a billiard ball. And like a rotating ball, in
collisions a particle with spin rebounds differently from a
particle without spin (that is how the spin of a particle is
usually detected). A quantum-mechanical rule known as the
Pauli exclusion principle dictates that no two quarks or
electrons with identical spins can occupy the same space —
such as an atomic orbit or energy level. (Strange as it may
sound, particles with spins of zero or one — photons or
gluons, for instance — can pile up without limit.) I once saw a
bumper sticker that said "Time is what keeps everything
from happening all at once." In a sense, spin is what keeps
everything from happening in the same place.
Now think about the quark structure of a neutron, namely,
two down quarks and one up quark. At first glance, it
would seem that the gluonic springs all would pull with the
same force. After all, the strong force between two down
quarks is the same as that between an up quark and a down
quark. In that case, on average, the quarks would form an
equilateral triangle. As the triangle pivoted and the springs
wiggled, the negative electric charges of the two down
quarks (each negative 1/3) would exactly cancel the positive
2/3 electric charge of the up quark. Every spot inside the
neutron would be left with an average charge of zero.
But the world is not quite so simple. It turns out that
quarks with parallel spins repel each other faintly; slightly
weakening the strong force between them. The spins of the
two down quarks in the neutron are parallel. The spin of
the up quark, however, flip-flops at random, spending only
half its time parallel to each of the down quarks. Thus you
can think of the springs that bind it to them as being
relatively taut, compared with the spring that connects the two
down quarks. The three quarks therefore form a distorted
isosceles triangle, in which the up quark is pulled toward the
midpoint of the spring connecting the two down quarks.
The result is an asymmetric charge distribution: positive at
the center of the neutron, negative farther out. just how
powerfully the spin affects the strong force, and thus how
much the charge is distorted, is one of the big questions the
Jefferson Lab hopes to settle.
Probing that asymmetry is an ideal job for the Jefferson
Lab's electron beam. Energetic electrons penetrate deep
into the neutron, and so their deflection is largely a matter
of scattering off the positively charged up quark. Less
energetic electrons bounce off the negatively charged down
quarks at the surface of the neutron. By plotting energies
against scattering angles, physicists can get crucial
information about how the forces inside the neutron interact.
A second kind of excited nucleon we will
study at the Jefferson Lab is the analogue of a
simple hydrogen atom whose nuclear proton
and orbiting electron have parallel spins. Such a hydrogen
atom is slightly more energetic than one whose spins are
antiparallel. The difference in energy between the two states
is so small, however, that it amounts to only about a billionth
the difference between the two lowest electronic orbits.
For that reason the process is known as hyperfine splitting.
Inside the nucleon, the effects of such spin flips are
much more dramatic. The three quarks inside a nucleon
each can have a component of spin parallel or antiparallel
to some arbitrary direction. Thus there are two
possibilities: either the quarks all are parallel, or one
quark is different. The latter case holds for the ground state of
the proton or the neutron: not all the quarks have parallel
spin. Suppose the antiparallel quark inside a
neutron flips its spin to match those of its
neighbors. The neutron metamorphoses into a new particle —
a delta particle — with significantly more energy than a proton or
a neutron has. The hyperfine transition between the delta
and the neutron releases energy equivalent to roughly 30 percent
of the mass of the neutron in the ground state.
Can other, even more exotic assemblages of quarks be created?
For example, can one create the analogues of various neutral
atoms with many electrons? No one has ever detected particles
with four, five, six or more
quarks, but nothing in the quark model forbids them. At
present, colleagues of mine at the University of New
Hampshire are working with Russian physicists at the
synchrophasotron accelerator at the Joint Institute for
Nuclear Research in Dubna, north of Moscow, in a search for
such unusual multiple-quark particles. If they succeed, the
particles will be analogous to the synthetic chemical
elements nuclear physicists create in reactors: heavy,
short-lived and unknown in nature.
What about quark molecules? The most straightforward
analogue is the atomic nucleus, in which the nucleons are
regarded as the "atoms," and the permitted nuclei are
regarded as the "molecules." That, of course, is the
phenomenon that has been studied in atomic physics for the
past fifty years. But neutrons and protons might, if pushed
together closely enough, also form a new kind of matter, a
quark-gluon plasma. How would such a plasma evolve?
What new particles might condense out of it? All those
ideas, and many more, will serve to guide us as we prod the
quarks and gluons in nucleons and try to coax from them
the secrets of their interactions.
TIMOTHY PAUL SMITH is a research scientist in the nuclear
physics group at the University of New Hampshire in Durham. He
is currently working on software to control the data flow in Hall A
of the Thomas Jefferson National Accelerator Facility.
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