Beta Decay Explained: Beta-Minus vs Beta-Plus

Physics · nuclei · NEET

Beta decay is when a nucleus emits a beta particle (an electron or a positron) and Z changes by one while the mass number A stays the same. In beta-minus decay a neutron turns into a proton, emitting an electron and an antineutrino, so Z goes UP by 1. In beta-plus decay a proton turns into a neutron, emitting a positron and a neutrino, so Z goes DOWN by 1. Memory hook: "Minus makes More protons" (beta-minus raises Z), "Plus makes a Positron and fewer protons."

At a glance

Particle emittedElectron (e-)Positron (e+)
Change inside nucleusNeutron becomes protonProton becomes neutron
Neutral particle emittedAntineutrinoNeutrino
Atomic number ZIncreases by 1Decreases by 1
Mass number AUnchangedUnchanged
Typical parentNeutron-rich nucleusProton-rich nucleus
Beta-Minus vs Beta-Plus DecayBeta-Minus (Z up by 1)neutronin nucleusprotonelectronantineutrinon = p + e- + antineutrinoA same, Z + 1Beta-Plus (Z down by 1)protonin nucleusneutronpositronneutrinop = n + e+ + neutrinoA same, Z - 1
Beta-minus decay converts a neutron to a proton (Z rises by 1), emitting an electron and an antineutrino; beta-plus decay converts a proton to a neutron (Z falls by 1), emitting a positron and a neutrino. In both, the mass number A stays the same.

Your doubts, answered

Does beta decay change the mass number A?

No. In both beta-minus and beta-plus decay the mass number A stays the same. This is because a neutron and a proton have almost the same mass, and beta decay only converts one into the other. Only the atomic number Z changes by 1 (up in beta-minus, down in beta-plus). Since A = Z + N is unchanged, the parent and daughter are ISOBARS (same A, different Z).

Why does a neutron become a proton in beta-minus decay?

A free neutron is slightly heavier than a proton, so it is unstable and decays: neutron goes to proton + electron + antineutrino. Inside a nucleus that has too many neutrons, this same conversion makes the nucleus more stable. The proton stays in the nucleus (raising Z by 1), while the electron and antineutrino are thrown out. This is why Z increases in beta-minus decay.

Is a neutrino or an antineutrino emitted in beta-plus decay?

In beta-PLUS decay a proton becomes a neutron + positron + NEUTRINO. In beta-MINUS decay a neutron becomes a proton + electron + ANTINEUTRINO. Easy rule: the positron (antimatter of electron) travels with a neutrino, and the electron (matter) travels with an antineutrino, so each pair balances matter and antimatter. This neutral, nearly massless particle carries away the missing energy and momentum.

Where does the emitted electron come from if the nucleus has no electrons?

The electron is NOT one of the atom's orbital electrons. It is created at the instant of decay when a neutron converts into a proton. The reaction neutron goes to proton + electron + antineutrino produces a brand-new electron from the energy of the process (mass-energy equivalence). So beta particles are freshly created inside the nucleus, not pulled from the electron shells.

Why is the beta particle emitted with a range of energies, not a fixed energy?

Because the decay produces THREE particles (daughter nucleus, beta particle, and neutrino or antineutrino). The available energy is shared among them in many ways. The neutrino carries away a variable share, so the beta particle comes out with a continuous spectrum of energies from zero up to a maximum. This continuous spectrum was the original clue that the neutrino must exist.

⚠️ The NEET trap
In beta-minus decay the atomic number Z decreases because a negative electron is emitted.
In beta-MINUS decay Z INCREASES by 1. A neutron converts to a proton (staying in the nucleus), so the number of protons goes UP. The emitted electron only carries away the negative charge to keep charge balanced; it does not lower Z.
🧠 Sign of the particle is not the sign of the Z change. Beta-minus = Z up (+1), beta-plus = Z down (-1). Do the opposite of what the particle's charge suggests.
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Frequently asked

What is the general reaction for beta-minus decay?

Parent (Z, A) goes to Daughter (Z+1, A) + electron + antineutrino. Example: carbon-14 goes to nitrogen-14 + electron + antineutrino. Mass number A stays the same, Z rises by 1.

What is the general reaction for beta-plus decay?

Parent (Z, A) goes to Daughter (Z-1, A) + positron + neutrino. Example: sodium-22 goes to neon-22 + positron + neutrino. Mass number A stays the same, Z falls by 1.

Which decay do neutron-rich nuclei undergo?

Neutron-rich nuclei (too many neutrons for stability) undergo beta-MINUS decay to convert a neutron into a proton. Proton-rich nuclei (too few neutrons) undergo beta-PLUS decay to convert a proton into a neutron. Both moves push the nucleus toward the stable neutron-to-proton ratio.

Do beta particles have the same mass as electrons?

Yes. A beta-minus particle is an electron and a beta-plus particle is a positron. A positron has exactly the same mass as an electron but the opposite (positive) charge. That is why NCERT calls them particles with the same mass as electrons but opposite charge.

Is the parent and daughter in beta decay an isotope, isobar or isotone pair?

They are ISOBARS. Beta decay keeps A the same while changing Z, so parent and daughter have equal mass number A but different atomic number Z, which is the definition of isobars.