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Dr. Ming-chung CHU
Department of Physics, The Chinese University of Hong Kong


A major trend in the development of physics in the twentieth century was the search for the ultimate structure of matter. Having found the structures of atomic nuclei, physicists continued to study those of nucleons (protons and neutrons) through collision experiments. The diameter of a nucleon is approximately m(1) . They therefore need to use particles with much higher energy as "bullets", so that they can break up the nucleons.

In Rutherford's experiment, when low energy particles were collided with the atomic nucleus, they could only interact with the whole nucleus as one particle. It was as if the -particles were short-sighted and could not 'see' the nucleons inside the atomic nucleus. Physicists had to raise their energy above the binding energy(2) of the nucleus before they could 'sense' the individual nucleons. The higher the particle energy is, the better the spatial resolution becomes. That's why physicists build high energy particle accelerators (Fig. 1) and use them to probe the microscopic world. These giant particle accelerators are really powerful microscopes.


(Photo Courtesy Stanford Linear Accelerator Center. www.slac.stanford.edu/
Fig. 1: Stanford Linear Accelerator. Left: Aerial view of the accelerator. Right: Inside the accelerator tunnel.)

Between 1966 and 1978, Jerome Friedman, Henry Kendall and Richard Taylor(3) led a group of American physicists to carry out a series of high energy electron-nucleon collision experiments. They used the Stanford Linear Accelerator (shown in Fig. 1) to produce a beam of electrons with energy of about 10 billion electron volts(4) (or GeV), and then they directed these electrons to bombard nucleons (Fig. 2)!


(Fig. 2: The target area of the high energy electron-nucleon collision experiment. The white box represents a typical person¡¦s size. Photo courtesy Stanford Linear Accelerator Center.)

How much energy is 10 GeV? If you could watch the motion of air molecules at room temperature, you might be really surprised, because they move randomly with an average speed of several hundred meters per second. An enormously large number of air molecules hit you every second, and that's why you feel the atmospheric pressure(5). However, the average kinetic energy(6) of air molecules at room temperature is only about 1/40 eV. Let's consider the particles at the surface of the sun, which has a temperature of about 6,000K. Imagine touching the surface of the sun with your hand. Feel good huh? The average kinetic energy of the particles hitting your palm is a mere 1/2 eV. That's too low in energy. How about we reach all the way to the center of the sun? Before your hand vaporizes in the hot furnace there, which has a temperature of about 15 million K, you may feel particles hitting you with an average kinetic energy of about 25,000 eV. We need to multiply this by 400,000 times further to reach the energy of 10 GeV!

What would happen when electrons with such a high energy crash onto a nucleon? Many physicists at the time thought that the nucleon could hardly deflect the electrons, and so the electrons should just go straight through. Surprisingly, there were always some electrons being scattered by a large angle, just like what Rutherford saw in his experiment. When the famous physicist Professor Richard Feynman saw the data, he immediately concluded that there must be some small but hard objects inside a nucleon! Further experiments showed that these point-like particles have the same properties as the hypothetical particles called quarks , the existence of which was proposed by Professor Murray Gell-Mann(7) and his student George Zweig in 1964. It is now commonly accepted that nucleons are made up of quarks(8). There are six kinds of quarks, called u (up), d (down), s (strange), c (charm)(9) , b (bottom), and t (top), and they differ in their masses as well as their electric charges: u, c, and t quarks carry a charge of +2/3 |e|, while d, s, and b quarks carry -1/3 |e|, with e being the charge of an electron. The various combinations of these quarks made up different kinds of particles(10). For example, a proton is made up of two u and one d quarks.

The reader must have noticed the remarkable similarities between Rutherford's -atom collision experiment and high energy electron-nucleon collisions, in terms of methodology, experimental results, and even the final discoveries. There was actually another even stronger resemblance. Recall that Rutherford hypothesized the existence of neutrons by noting that the atomic number of an atomic nucleus only accounts for about half of its mass number. Well, history has a way of repeating itself. Physicists soon realized that the quarks that scatter with the electrons only account for about half of the mass of a nucleon, and so naturally, they deduced that another kind of particles, called gluons, must also exist inside the nucleon. Just like the neutrons, these gluons do not carry electrical charges, and so the electrons cannot 'feel' their presence.

Strangely enough, neither the quarks nor the gluons like to be seen. Nobody has yet observed a free quark or a free gluon. It seems that the strong force(11) among the quarks and gluons somehow confines them within the nucleons. This confinement of quarks and gluons is still not understood and remains an outstanding problem in modern physics.

You may be wondering - you should be - how come we believe in the existence of quarks and gluons based on only some indirect evidences? Indeed, physicists have been working diligently to search for free quarks. One of the most interesting series of experiments began recently in Brookhaven National Laboratory, where high energy heavy-ion collisions(12) are being carried out (Fig. 3). In principle, when the temperature reaches a critical point, the quarks and gluons in matter will be freed from the confinement. This is analogous to boiling water; at the boiling point, water transforms from liquid state to gas state(13), and water molecules are "freed". According to theoretical calculation, this critical temperature for quarks and gluons is about K, or 100,000 times the temperature at the center of the sun! Using a giant particle accelerator, physicists accelerate the nuclei of some heavy elements such as Uranium - the so-called heavy ions - to the energy of about 200 GeV per nucleon. Two beams of these high energy heavy ions are then collided together. During a collision, part of the kinetic energy of the heavy ions will be converted into heat, creating a high density microscopic(14) fireball, with temperature reaching over K (Fig. 4) Theoretically, this fireball is made up of free quarks and gluons, and a new phase of matter - the quark-gluon plasma -is formed. Unfortunately, because of the rapid expansion of the fireball, the temperature drops quickly, and so the quark-gluon plasma phase is maintained for only a very short duration(15). Physicists have to search for clues of the existence of the quark-gluon plasma from the remnants of the fireball (Fig. 5), which consists of hundreds of thousands of various particles. You should have noticed that this is nothing but another example of the 'blast-it-up paradigm'.

These high energy heavy-ion collision experiments also represent efforts to recreate the conditions in the early universe. We simulate the Big Bang(16) by the little bangs in the laboratory. Indeed, the extremely high temperature of K could only be reached during the Big Bang. With these little bangs, physicists created the hottest spots in the universe today, and through these fireballs they study the ultimate structure of matter, as well as the conditions at the beginning of the universe.


( Fig. 3: Relativistic Heavy-Ion Collider (RHIC) in Brookhaven National Laboratory, U.S.A... Top: Aerial view of the collider. Its circumference is about 2.4 miles. Lower left: A section of the pipeline of the accelerator. Right: One of particle detectors. Photos are downloaded from http://www.bnl.gov. Photo Courtesy Brookhaven National Laboratory.)


(Fig. 4: Schematic diagram of a high energy heavy-ion collision.)


(Fig. 5: Remnants of heavy-ion collisions ¡V a large number of particles. Photo is downloaded from www.bnl.gov, representing data obtained by the STAR experiment. Photo Courtesy Brookhaven National Laboratory.)


(1) Physicists define the length of m to be 1 fm (Fermi).
(2) The binding energy is the energy needed to take away one nucleon from a nucleus.
(3) For these experiments, the three physicists were awarded the 1990 Nobel Prize in Physics.
(4) This is about 10,000 times the energy of the ƒÑ particles used in Chadwick¡¦s experiment.
(5) The force corresponding to the standard atmospheric pressure at sea level is about the same as having the weight of ten persons crushing on you.
(6) The average kinetic energy of particles in a gas is proportional to its temperature.
(7) M. Gell-Mann, The Quark and the Jaguar (W. H. Freeman and Co., New York, 1994).
(8) He was awarded the Nobel Prize in Physics in 1969 for his contribution to elementary particle physics.
(9) The charm quark was discovered by Professor Samuel Ting and Professor Burton Richter¡¦s research groups independently. Richter and Ting shared the 1976 Nobel Prize in Physics for this discovery.
(10) Particles made up of quarks are called hadrons. They all undergo strong interactions.
(11) One of the four fundamental forces in Nature (strong, weak, gravity, and electromagnetic forces). It governs the world of subatomic particles.
(12) See http://www.bnl.gov/rhic/
(13) This is an example of a phase transition in physics.
(14) The radius of this fireball is about the same as that of a heavy ion, which is about several tens of fm.
(15) Estimated to be s.
(16) See www.phy.cuhk.edu.hk/astroworld