10.6 Creation of Particles | Summary and Q&A

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November 8, 2021
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10.6 Creation of Particles

TL;DR

The content discusses the minimal energy required for different particle collision processes and how it varies in fixed-target experiments and collider experiments.

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Questions & Answers

Q: What is the concept of minimal energy in particle collision processes?

Minimal energy refers to the lowest amount of energy that is required for a specific particle collision process to occur while satisfying the conservation of energy and momentum.

Q: How is the minimal energy calculated in a fixed-target experiment?

In a fixed-target experiment, the minimal energy can be determined by analyzing the process in the center-of-mass frame, where the momentum of all outgoing particles can be zero. The minimal energy is then equal to 2 times the mass of the proton times gamma, where gamma is the relativistic gamma factor of the protons.

Q: How is the answer obtained in the center-of-mass frame boosted back to the laboratory frame?

The answer obtained in the center-of-mass frame can be boosted back to the laboratory frame using a Lorentz transformation, specifically by calculating the velocity beta of the protons in the laboratory frame. This velocity can then be used to determine the gamma factor of the proton in the fixed-target experiment.

Q: How does the minimal energy requirement differ in fixed-target and collider experiments?

In fixed-target experiments, the minimal energy required to produce new particles is typically higher compared to collider experiments. In the example discussed, the energy required in a fixed-target experiment was 2.5 times larger than the energy required in a colliding experiment.

Summary & Key Takeaways

  • The content explains how to calculate the minimal energy needed for a specific particle collision process in a fixed-target experiment.

  • It highlights the importance of analyzing the process in the center-of-mass frame and the conservation of momentum.

  • The content also explores the minimal energy required to produce antiprotons in proton-proton collisions and compares fixed-target and collider experiments.

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