In particle physics, a resonance is the peak located around a certain energy found in differential cross sections of scattering experiments. These peaks are associated with subatomic particles, which include a variety of bosons, quarks and hadrons (such as nucleons, delta baryons or upsilon mesons) and their excitations. In common usage, "resonance" only describes particles with very short lifetimes, mostly high-energy hadrons existing for 10 seconds or less. It is also used to describe particles in intermediate steps of a decay, so-called virtual particles.
The width of the resonance (Γ) is related to the mean lifetime (τ) of the particle (or its excited state) by the relation
where and h is the Planck constant.
and h is the Thus, the lifetime of a particle is the direct inverse of the particle's resonance width. For example, the charged pion has the second-longest lifetime of any meson, at 2.6033×10 s. Therefore, its resonance width is very small, about 2.528×10 eV or about 6.11 MHz. Pions are generally not considered as "resonances". The charged rho meson has a very short lifetime, about 4.41×10 s. Correspondingly, its resonance width is very large, at 149.1 MeV or about 36 ZHz. This amounts to nearly one-fifth of the particle's rest mass.
See also
- Baryon resonance particles
- Roper resonance
- Giant resonance
- Feshbach resonance
- Fano resonance
- Feshbach–Fano partitioning
- Resonances in scattering from potentials
- Relativistic Breit–Wigner distribution
References
- Dudley, Chris. "What is a Resonance Particle?". phy.duke.edu. Retrieved 24 April 2017.
- K.A. Olive et al. (Particle Data Group) (2016): Particle listings –
π
- K.A. Olive et al. (Particle Data Group) (2016): Particle listings –
ρ
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