Decay processes involving eta-mesons and protons revealing invisible particles and vacuum-generated matter.Hidden particle decay refers to hypothetical processes where known particles, such as eta-mesons or protons, decay into final states that include invisible particles — particles that interact so weakly with ordinary matter that they escape detection in particle detectors. These invisible particles are often candidates for dark matter, the mysterious substance that makes up about 85% of the universe's mass but does not emit or absorb light. The study of these decays is a key experimental strategy for discovering physics beyond the Standard Model, as any observed deviation from predicted decay rates or patterns could signal the existence of new particles.
The concept of invisible decay products has been part of particle physics since the 1970s, particularly with the search for neutrinos, which are invisible to most detectors. The modern search for dark matter candidates through hidden particle decays gained prominence in the 2000s with theoretical models like supersymmetry and extra dimensions.
In quantum field theory, a particle can decay into a set of lighter particles if energy and momentum conservation allow it. For hidden particle decay, the final state includes at least one particle that does not interact electromagnetically or strongly, so it leaves no trace in a detector. Physicists infer its presence by measuring the missing energy and momentum in the decay. For example, in a decay like K+ → π+ + invisible, the invisible particle would carry away a specific amount of energy, creating a distinct signature in the detector. Experiments search for such signatures in high-precision measurements of rare decays, often using particle colliders or dedicated beam-dump facilities.
This research directly informs the design of next-generation particle physics experiments, such as those at the Large Hadron Collider and proposed future colliders, and helps constrain the properties of dark matter candidates.
The decay of a proton into invisible particles is one of the most sensitive probes of grand unified theories, and experiments like Super-Kamiokande have set limits on the proton lifetime exceeding 10^34 years.
| V | variable | Potential energy — potential energy joule |
| r | variable | Radial distance from source — distance metre |
| g | variable | Coupling strength (not a universal constant) joule metre |
| λ | variable | Screening length (range of interaction) — length metre |
| F | variable | value of the decaying quantity at position x — amplitude varies |
| F_0 | variable | initial value at x = 0 — amplitude varies |
| x | variable | independent variable (position, time, etc.) — position metre |
| α | variable | decay constant (rate of decay per unit x) — decay constant per metre |







