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What is the lifetime of a particle?

The lifetime of a particle refers to how long it exists before decaying into other particles. This depends on the type of particle and its properties. Broadly, particle lifetimes range from tiny fractions of a second to trillions of years.

What are the different types of particles?

There are two main types of particles: elementary particles and composite particles:

  • Elementary particles are particles with no internal structure. They are the fundamental building blocks of matter. Examples include electrons, quarks, gluons, neutrinos, etc.
  • Composite particles are made up of combinations of elementary particles. Examples include protons, neutrons, mesons, baryons, atoms, and molecules.

Elementary particles can further be classified as either fermions or bosons based on their spin:

  • Fermions have half-integer spin (1/2, 3/2, etc). Examples are quarks, electrons, neutrinos.
  • Bosons have integer spin (0, 1, 2, etc). Examples are photons, gluons, W/Z bosons.

What determines a particle’s lifetime?

The lifetime of a particle depends on the following factors:

  • Stability: Some elementary particles like electrons and protons are stable and do not decay at all. Their lifetime is infinite.
  • Conservation laws: Particles can only decay in ways that conserve certain quantities like baryon number, lepton number, charge, spin, etc. This constrains their lifetime.
  • Mass: Heavier particles tend to be more unstable and decay faster than lighter ones.
  • Available decay modes: The number of pathways a particle can decay into affects its lifetime. More decay options mean a shorter lifetime.
  • Coupling strength: The strengths of the fundamental forces dictate the rate of decay. Strong and weak interactions have short lifetimes, electromagnetic is longer.

Lifetimes of common particles

Here are the typical lifetimes of some common particles:

Particle Lifetime
Proton Stable (>1034 years)
Electron Stable
Neutron 881.5 s
Muon 2.2 μs
Tau particle 2.9 x 10-13 s
Pion 26 ns
Kaon 1.2 x 10-8 s
W boson 3.1 x 10-25 s
Z boson 3.3 x 10-25 s

As seen from the table, lighter particles like pions and kaons have very short lifetimes of nanoseconds and microseconds. Heavier particles like muons and taus have longer lifetimes in the micro- to nanosecond range.

The heaviest particles like protons and electrons are stable and do not decay at all over the lifetime of the universe. Some particles like neutrons are unstable but have a comparatively long lifetime of minutes.

Why do particles decay?

Particles decay for the following reasons:

  • To move to a lower energy state according to the laws of quantum mechanics.
  • To satisfy conservation laws like conservation of baryon number, lepton number, charge, etc.
  • To transform excess mass into the kinetic energy of lighter, more stable decay products.
  • To reduce net quantum numbers like strangeness, charm, bottomness, etc. through weak interactions.

Decay allows particles to reach their lowest energy ground state. All particles seek to be in the lowest energy configuration possible based on the physical constraints imposed.

Common decay modes

Here are some common decay modes seen in particle physics:

  • Beta decay – neutron → proton + electron + antineutrino
  • Alpha decay – heavy nucleus → lighter nucleus + alpha particle (helium nucleus)
  • Gamma decay – nucleus → nucleus + gamma ray
  • Electron capture – proton + electron → neutron + neutrino
  • Annihilation – particle + antiparticle → photons
  • Leptonic decay – heavy mesons/baryons → lighter mesons/baryons + lepton + neutrino

By decaying through these different modes, particles are able to reduce energy, conserve quantum numbers, and reach a more stable configuration.

Measuring particle lifetimes

The lifetimes of various particles are experimentally measured using the following techniques:

  • Time-of-flight: Measuring how far a set of particles travels over a fixed distance to determine their speed and lifetime.
  • Ring detectors: Particles are injected into a circular accelerator ring and decay products are measured after each pass to determine lifetime.
  • Trap detectors: Particles are contained within magnetic traps and their decay is monitored over time.
  • Collider experiments: Lifetimes are measured by analyzing the decay vertices in collisions produced at high-energy particle colliders.

Extremely short-lived particles require sophisticated detectors with high time and spatial resolution to capture their rapid decay.

Importance of particle lifetimes

Measuring particle lifetimes provides crucial insights for particle physics including:

  • Testing predictions from the Standard Model of particle physics.
  • Probing conservation laws like charge, parity, baryon number, etc.
  • Studying the fundamental forces and interactions between particles.
  • Looking for evidence of new, undiscovered particles.
  • Understanding mechanisms behind particle decay and stability.

The lifetimes of particles reflect their internal properties and interactions with other particles. Comparing theoretical predictions with measurements provides critical validation of quantum field theories underlying particle physics.

Conclusion

To summarize, the lifetime of a particle is heavily dependent on its inherent properties like mass, stability, and decay modes available to it. Lifetimes range from infinitesimally tiny fractions of a second for unstable heavy particles, to indefinitely long for stable lighter particles. Careful measurements of particle lifetimes provide crucial insights into the quantum mechanics governing particle physics.