Prospects for physics at e/sup +/e/sup -/ linear colliders Page: 3 of 72
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2. Linear Collider Parameters and Experimental Consequences
2.1. Why Linear Colliders?
The first question we have to ask is why we want to consider linear colliders
as opposed to storage rings for high-energy e~e collisions. Richter studied the
scaling laws for storage rings in 1978.2 There are two factors in the cost of
a high-energy storage ring. Most of the costs scale as the size of the ring -
tunnels, magnets, vacuum systems, etc. Th wa cost that does not scale with
the size of the ring is the if system, which is required to make up the energy
lost to synchrotron radiation. The voltage required to restore the lost energy
is proportional to the fourth power of the energy and inversely proportional to
the radius of curvature. Thus, simplifying Richter's argument considerably, we
can write
C = R+p R(1
where C is the cost, R is the radius, E is the energy, and a and 3 are constants.
Optimizing the cost by setting the derivative of Eq. (1) with respect to R to
zero yields the result that both the cost and size of a storage ring scale with
E2.
We can thus estimate the cost of a I TeV storage ring by assuming that LEP
II is an optimized 200 GeV storage ring and using this scaling law. The result
is that such a ring would be 675 km in circumference and cost 17.5 billion
dollars. Even by our new sense of reazonableness set by the SSC scale, this
seems unreasonable and suggests that we should pursue an alternate technology.
Both the cost and size of a linear collider, or course, scale with energy, making
it appear to be a more promising approach.
2.2. introgductian to Linear ColliderEa meters
Figure 1 shows a generic linear collider. It has three main accelerators:
an electron linac to produce positrons, and positron and electron linacs to
accelerate the beams to high energy. It also has two damping rings to reduces
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Feldman, G. J. Prospects for physics at e/sup +/e/sup -/ linear colliders, article, March 1, 1988; Menlo Park, California. (https://digital.library.unt.edu/ark:/67531/metadc1055865/m1/3/: accessed May 30, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.