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{\nu}_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{\nu}_e\$).

Initial NucleonQuark ChangeFinal NucleonParticles Emitted
Neutron (\$udd\$)\$d \rightarrow u\$Proton (\$uud\$)\$e^- + \bar{\nu}_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 (\$\nu_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 (\$\nu_e\$).

Initial NucleonQuark ChangeFinal NucleonParticles Emitted
Proton (\$uud\$)\$u \rightarrow d\$Neutron (\$udd\$)\$e^+ + \nu_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.