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Synchrotron radiation takes energy from an accelerator beam and is related to acceleration. Why would you expect the problem to be more severe for electron accelerators than proton accelerators?

Short Answer

Expert verified

Less massive particles accelerate more quickly than more massive particles. As a result, in a synchrotron, electron acceleration is greater than proton acceleration.

Step by step solution

01

Accelerator

A particle accelerator is a machine that uses electromagnetic fields to accelerate charged particles to extremely high speeds and energies while keeping them contained in well-defined beams. For fundamental particle physics research, large accelerators are used.

02

Acceleration of charged particles

Electromagnetic radiation is produced when charged particles are accelerated radially, that is, when they are exposed to acceleration that is perpendicular to their velocity. Synchrotron radiation is the name given to such electromagnetic radiations.

Synchrotron radiations are produced by charged particles that have been accelerated radially. As a result of the constant force applied by the synchrotron, the acceleration of less massive particles is greater than the acceleration of more massive particles. The emission of radiation occurs when a particle beam travels in a curved path.

Because the mass of the electron is much less than the mass of the proton, the amount of synchrotron radiation produced is much higher than that of the proton when it is accelerated in a synchrotron. The electrons lose a large amount of energy as synchrotron radiation, limiting the maximum attainable energy in the accelerator. As a result, in the case of electron acceleration in a synchrotron, synchrotron radiation necessitates a large amount of energy.

Therefore, electron acceleration is greater than proton acceleration in a synchrotron.

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Most popular questions from this chapter

Plans for an accelerator that produces a secondary beam of \({\rm{K}}\)-mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of \({\rm{500 MeV}}\).

(a) What would the relativistic quantity \(\gamma {\rm{ = }}\frac{{\rm{1}}}{{\sqrt {{\rm{1 - }}{{{{\rm{\nu }}^{\rm{2}}}} \mathord{\left/{\vphantom {{{{\rm{\nu }}^{\rm{2}}}} {{{\rm{c}}^{\rm{2}}}}}} \right. \\} {{{\rm{c}}^{\rm{2}}}}}} }}\) be for these particles?

(b) How long would their average lifetime be in the laboratory?

(c) How far could they travel in this time?

The only combination of quark colours that produces a white baryon is RGB. Identify all the colour combinations that can produce a white meson.

The total energy in the beam of an accelerator is far greater than the energy of the individual beam particles. Why isn't this total energy available to create a single extremely massive particle?

(a) Calculate the relativistic quantity \(\gamma {\rm{ = }}\frac{{\rm{1}}}{{\sqrt {{\rm{1 - }}{{\rm{v}}^{\rm{2}}}{\rm{/}}{{\rm{c}}^{\rm{2}}}} }}\) for \({\rm{1}}{\rm{.00 - TeV}}\) protons produced at Fermilab.

(b) If such a proton created a \({\pi ^{\rm{ + }}}\) having the same speed, how long would its life be in the laboratory?

(c) How far could it travel in this time?

(a) Show that the conjectured decay of the proton, \({\rm{p}} \to {\pi ^{\rm{0}}}{\rm{ + }}{{\rm{e}}^{\rm{ + }}}\), violates conservation of baryon number and conservation of lepton number.

(b) What is the analogous decay process for the antiproton?

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