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Particles and Nuclear Structure

Conservation laws in particle reactions

  • 3 things to know
  • Component 3

Overview

Recall questions on conserving charge, baryon number and lepton number, the values assigned to each class of particle, applying all three to a proposed reaction to test whether it can occur, and why energy availability is a separate question from the conservation rules.

What you need to know

Answer each one before you reveal it.

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Key term

Test the reaction p + e⁻ → n + νₑ against the three conservation rules.

Key term

State the three counting quantities that must be conserved in every particle reaction.

Key term

What baryon number is carried by a proton, by an electron and by a pion?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the three counting quantities that must be conserved in every particle reaction.

    Model answer

    Charge, lepton number and baryon number must all be conserved. Their totals before and after the reaction have to be equal.

  2. 2

    What baryon number is carried by a proton, by an electron and by a pion?

    Model answer

    A proton has a baryon number of +1, an electron has 0 and a pion has 0. Only three-quark and three-antiquark combinations carry a non-zero baryon number.

  3. 3

    What lepton number is carried by a proton, by an electron and by a positron?

    Model answer

    A proton has a lepton number of 0, an electron has +1 and a positron has −1. Only leptons and antileptons carry a non-zero lepton number.

  4. 4

    Show that charge is conserved in the decay n → p + e⁻ + ν̄ₑ.

    Model answer

    The total charge before is 0, and after the decay it is (+1) + (−1) + 0 = 0. The two totals match, so charge is conserved.

  5. 5

    Show that lepton number is conserved in the decay n → p + e⁻ + ν̄ₑ.

    Model answer

    The lepton number before is 0, because a neutron is not a lepton. After the decay it is 0 + (+1) + (−1) = 0, so the total is unchanged.

  6. 6

    Show that baryon number is conserved in the decay n → p + e⁻ + ν̄ₑ.

    Model answer

    The neutron has a baryon number of +1 and the proton also has +1. The electron and the antineutrino both carry 0, so the total is +1 on each side.

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