Physics GCE Question - not allowed to use conservation of baryon/lepton number

In summary, the three conservation laws that apply to this decay event are conservation of charge, conservation of baryon number, and conservation of momentum.
  • #1
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Homework Statement


State and discuss how three conservation laws apply to this decay event (D0 -> K++[itex]\pi^-[/itex])

Homework Equations


The Attempt at a Solution


I talked about conservation of charge, lepton lepton number and baryon number. However, the marking scheme (actually the examiner's report) says "some lost marks by
trying to apply rules such as lepton number and strangeness." I believe it means that conservation of lepton number is regarded as wrong (and baryon number too, probably). Does anyone know why it is so (I know lepton numbers is silly here...)? Or is it my misunderstanding of the statement? (I have no problem with the "strangeness" part because it is not conserved by weak interactions)Edit: This is question 18 b iv of GCE June 2011 Physics Unit 4.
 
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The three conservation laws that apply to this decay event are conservation of charge, conservation of baryon number, and conservation of momentum. Conservation of charge states that the total amount of electric charge before a reaction is equal to the total amount of electric charge after the reaction. In this case, the D0 particle has a charge of 0 and the K++ and pi− particles have charges of +1 and −1 respectively. Therefore, the total charge of the initial particles is 0 and the total charge of the final particles is also 0, so charge is conserved. Conservation of baryon number states that the total number of baryons before a reaction is equal to the total number of baryons after the reaction. In this case, the D0 particle has a baryon number of 1 and the K++ and pi− particles have baryon numbers of 1 and 0 respectively. Therefore, the total baryon number of the initial particles is 1 and the total baryon number of the final particles is also 1, so baryon number is conserved. Conservation of momentum states that the total momentum of a system before a reaction is equal to the total momentum of the system after the reaction. In this case, the momentum of the initial particles (the D0 particle and the K++ and pi− particles) is equal to the momentum of the final particles (the K++ and pi− particles). Therefore, momentum is conserved.
 

Related to Physics GCE Question - not allowed to use conservation of baryon/lepton number

1. What is the difference between baryon and lepton number in physics?

Baryon number is a quantum number used to describe the number of baryons (particles made up of three quarks, such as protons and neutrons) in a system. Lepton number, on the other hand, is used to describe the number of leptons (particles such as electrons, neutrinos, and their antiparticles) in a system. Both baryon and lepton numbers are conserved in most physical processes, meaning the total number of baryons and leptons before and after a reaction remains the same.

2. Why are we not allowed to use conservation of baryon/lepton number in this physics GCE question?

Conservation of baryon and lepton numbers is a fundamental principle in physics, but it is not applicable in all situations. Some reactions, such as certain types of particle decays, violate the conservation of baryon and lepton numbers. Therefore, it is important for scientists to understand when this principle can be applied and when it cannot.

3. Can you give an example of a physics phenomenon that does not follow the conservation of baryon/lepton number?

One example is the phenomenon of neutrino oscillation, where a neutrino can change into a different type of neutrino as it travels through space. This process violates the conservation of lepton number, as the number of leptons before and after the oscillation is not conserved. However, it does not violate the total number of particles, including neutrinos and their antiparticles.

4. How do scientists study and understand physics phenomena that do not follow the conservation of baryon/lepton number?

Scientists use various tools and techniques, such as particle accelerators and detectors, to study and observe these phenomena. They also use mathematical models and theories, such as the Standard Model of particle physics, to understand the underlying mechanisms and principles governing these processes.

5. What are the implications of not being able to use conservation of baryon/lepton number in this physics GCE question?

The inability to use conservation of baryon and lepton numbers in a physics question may require students to think critically and use alternative methods to solve the problem. This can help develop their analytical and problem-solving skills and deepen their understanding of the fundamental principles of physics.

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