describe the changes to quark composition that take place during β– and β+ decay

Fundamental Particles: Quarks and Beta Decay

What are Quarks? 🔬

Quarks are the building blocks of protons and neutrons. Think of a proton as a word made from letters (quarks). There are six types (flavours) of quarks, but only two are common inside nuclei: the up quark ($u$) and the down quark ($d$). A proton is made of two up quarks and one down quark ($uud$), while a neutron is two down quarks and one up quark ($udd$).

Beta‑Minus Decay (β–) ⚛️

During β– decay, a neutron turns into a proton. Imagine swapping one letter in the word “neutron” to make “proton.” The change happens at the quark level: a down quark ($d$) inside the neutron changes into an up quark ($u$). This is like turning a “d” into a “u”. The process also releases an electron ($e^-$) and an antineutrino ($\bar{u}_e$).

  1. A down quark emits a $W^-$ boson and becomes an up quark.
  2. The $W^-$ boson quickly decays into an electron ($e^-$) and an antineutrino ($\bar{u}_e$).
Initial Nucleon Quark Change Final Nucleon Particles Emitted
Neutron ($udd$) $d \rightarrow u$ Proton ($uud$) $e^- + \bar{u}_e$

Beta‑Plus Decay (β+) ⚛️

In β+ decay, a proton turns into a neutron. Think of changing a letter in “proton” to make “neutron.” Here, an up quark ($u$) inside the proton changes into a down quark ($d$). This emits a positron ($e^+$) and a neutrino ($u_e$).

  1. A up quark emits a $W^+$ boson and becomes a down quark.
  2. The $W^+$ boson quickly decays into a positron ($e^+$) and a neutrino ($u_e$).
Initial Nucleon Quark Change Final Nucleon Particles Emitted
Proton ($uud$) $u \rightarrow d$ Neutron ($udd$) $e^+ + u_e$

Exam Tips 📚

Remember: In β– decay a down quark turns into an up quark, producing an electron and an antineutrino. In β+ decay a up quark turns into a down quark, producing a positron and a neutrino.

  • Use the quark change to quickly identify the emitted lepton.
  • Check the charge balance: the emitted lepton carries the opposite charge of the emitted boson.
  • Practice writing the full reaction equations to reinforce the quark transformations.

⚠️ Don’t forget that the $W$ boson is very short‑lived and decays almost instantly into the lepton pair.

Revision

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