The measured width of the J / ψmeson is 88 keV. Estimate its...

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Key Concepts

Heisenberg's Energy-Time Uncertainty Principle

This principle states that the product of the uncertainty in energy and the uncertainty in time is on the order of the reduced Planck constant. It sets a fundamental limit on the simultaneous precision with which energy (or mass/width in the context of unstable particles) and time (or lifetime) can be known, providing the basis for relating a particle's decay width to its lifetime.

Decay Width

The decay width of a particle represents the spread of its mass or energy state due to its unstable nature. It quantifies the range over which the mass is distributed and is a direct indicator of how quickly the particle decays; a larger decay width corresponds to a shorter lifetime.

Mean Lifetime

The mean lifetime is the average time an unstable particle exists before decaying. It is mathematically linked to the decay width through the relation ? = hbar/?, where hbar is the reduced Planck constant and ? is the decay width, embodying the inverse relationship between the duration of the particle's existence and the uncertainty in its energy.

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