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Beta-positive (β+) decay

PhysicsNuclear physicsRadioactive decay

Summary

Beta-positive (β+) decay is a nuclear decay in which a proton becomes a neutron, and the nucleus emits a positron and a neutrino. The atomic number Z falls by 1 and the mass number A stays the same. It typically occurs in proton-rich nuclei.

Detail

Meaning: In β+ decay a proton in the nucleus becomes a neutron, and the nucleus emits a positron (e⁺, the electron's antiparticle: same mass, charge +1) and an electron neutrino. Z falls by 1 and A is unchanged. It occurs in proton-rich nuclei, which have too few neutrons, and moves them toward stability. Electron capture competes and gives the same daughter. The positron soon annihilates with an electron, producing two 511 keV gamma photons.

Equation: parent (A, Z) → daughter (A, Z − 1) + e⁺ + ν, where A is the mass number and Z the atomic number (both dimensionless counts), e⁺ is the positron (charge +1.6 × 10⁻¹⁹ C) and ν is the neutrino (charge 0).

On the MCAT: Given a parent nuclide, find the daughter by balancing A and Z, for example ¹¹C → ¹¹B + e⁺ + ν. Compare with α decay (A − 4, Z − 2), β− decay (Z + 1) and γ emission (no change in A or Z). PET scans detect the annihilation photons.

Common confusion: Students treat the positron as a proton, or let A change. The positron is not a nucleon, so A stays the same, and the nucleus loses one unit of positive charge, so Z drops by 1. In β− decay a neutron becomes a proton and Z rises by 1.

Sources

  • Physics
  • Fundamentals of Physics
  • College Physics

Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.

Beta-positive (β+) decay: MCAT Glossary