OCR · A-Level · Physics
Course version: H556 · Version from Sept 2015
(j) β⁺ decay in terms of a quark model; u → d + ⁰₊₁e + ν
Full specification wording
Fundamental particles: (j) β⁺ decay in terms of a quark model; u → d + ⁰₊₁e + ν
Beta-plus decay occurs in proton-rich nuclei when a proton converts into a neutron.
Checked against the OCR H556 specification (opens in a new tab) on .
- Point 10 of 12
Study notes
From the checked teaching notes for this specification point.
The idea
Beta-plus decay occurs in proton-rich nuclei when a proton converts into a neutron. In quark terms the proton is uud and the neutron is udd, so an up quark changes into a down quark. The transformation is u → d + ⁰₊₁e + ν, where ⁰₊₁e is the positron (the antiparticle of the electron) and ν is the electron neutrino. Charge balance is essential: the up quark has charge +2⁄3, while the down quark (−1⁄3), the positron (+1) and the neutrino (0) sum to +2⁄3. Lepton number balances because the positron has lepton number −1 and the neutrino has +1. The positron and neutrino are leptons emitted by the weak interaction, not quarks. A reliable method is to write the parent and daughter quark contents and confirm that exactly one quark flavour changes.
What earns the marks
- Identifies that in β⁺ decay an up quark transforms into a down quark, changing a proton into a neutron.
- States the transformation u → d + ⁰₊₁e + ν with the positron and electron neutrino as products.
- Confirms charge conservation: +2⁄3 = −1⁄3 + (+1) + 0.
- Recognises that the positron and neutrino are leptons, not quarks, and that the weak interaction mediates the change.
- Distinguishes β⁺ decay from β⁻ decay by the direction of quark flavour change and the emitted particles.
Common mistakes and how to put them right
Writing the neutrino as an antineutrino.
Put it right: The β⁺ product is the electron neutrino ν, which balances lepton number against the positron.
Using an electron instead of a positron.
Put it right: β⁺ decay emits a positron, the antiparticle of the electron.
Balancing charge incorrectly by treating the up quark as negative.
Put it right: The up quark charge is +2⁄3, not −2⁄3.
Exam tips
- Write the quark-level equation and check charge on both sides before choosing an option.
- Check lepton number as well as charge; the neutrino type must match the emitted lepton.
- Remember that β⁺ decay reduces the proton number by one and increases the neutron number by one.
Try the lesson
The start of the Fundamental particles: (j) β⁺ decay in terms of a quark model; u → d + ⁰₊₁e + ν lesson, made from checked teaching notes for this specification point.
Listen
Beta-plus decay occurs in proton-rich nuclei when a proton converts into a neutron. In quark terms the proton is uud and the neutron is udd, so an up quark changes into a down quark. The transformation is u → d + ⁰₊₁e + ν, where ⁰₊₁e is the positron (the antiparticle of the electron) and ν is the electron neutrino. Charge balance is essential: the up quark has charge +2⁄3, while the down quark (−1⁄3), the positron (+1) and the neutrino (0) sum to +2⁄3. Lepton number balances because the positron has lepton number −1 and the neutrino has +1. The positron and neutrino are leptons emitted by the weak interaction, not quarks. A reliable method is to write the parent and daughter quark contents and confirm that exactly one quark flavour changes. A strong answer earns marks for these points. Identifies that in β⁺ decay an up quark transforms into a down quark, changing a proton into a neutron. States the transformation u → d + ⁰₊₁e + ν with the positron and electron neutrino as products. Confirms charge conservation: +2⁄3 = −1⁄3 + (+1) + 0. Recognises that the positron and neutrino are leptons, not quarks, and that the weak interaction mediates the change. Exam tip: Write the quark-level equation and check charge on both sides before choosing an option.
See it
Label the diagram
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1Box 1
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3Box 3
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