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Nuclear and Particle Physics

Quark changes in beta decay and testing particle equations

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on the quark change behind each beta decay, electron capture and annihilation equations, and deciding whether a proposed interaction is allowed.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

Which quark change underlies beta-minus decay, and what are the equations for electron capture and for the annihilation of an electron and a positron?

Numbers

What is wrong with writing neutron decay as n to p plus an electron, and why is energy checked separately from quantum numbers?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Which change at quark level underlies beta-minus decay?

    Model answer

    A down quark changes into an up quark, converting udd into uud and so turning a neutron into a proton.

  2. 2

    Which change at quark level underlies beta-plus decay?

    Model answer

    An up quark changes into a down quark, converting uud into udd and so turning a proton into a neutron.

  3. 3

    Write the equation for electron capture and check that it is allowed:

    Model answer

    The equation is p + e⁻ → n + νₑ; charge is (+1) + (−1) = 0 on both sides, baryon number is +1 on both sides, and lepton number is +1 on both sides, so it is permitted.

  4. 4

    Write the equation for the annihilation of an electron and a positron:

    Model answer

    The equation is e⁻ + e⁺ → γ + γ, with total charge and lepton number both zero on each side.

  5. 5

    Write the equation for pair production of an electron and a positron from a photon:

    Model answer

    The equation is γ → e⁻ + e⁺, in which charge goes from 0 to zero overall and lepton number from 0 to (+1) + (−1) = 0.

  6. 6

    Why is the interaction p + p → p + p + p impossible, while p + p → p + p + p + p̄ can occur?

    Model answer

    The first has baryon number 2 before and 3 after, which is forbidden, whereas the second has baryon number 2 before and 3 − 1 = 2 after and charge +2 on both sides, so it is allowed provided enough energy is available.

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