Pierre Agostini's experiment illuminated an argon jet with an annular beam. A pinhole removed the annulus; a tungsten-coated mirror relayed harmonics and weak central reference into another argon jet. A magnetic-bottle electron spectrometer used time of flight and microchannel plate detectors. Glass plates varied delay. Reference-on sidebands contrasted with reference-off peaks. Atomic-phase-corrected reconstruction yielded -attosecond bursts.[ref]
The two-path attosecond phase reconstruction explains the control's purpose: adding the reference opens an interference channel. Its fitted oscillation tests phase relationships under the weak-field and atomic-response model. It does not independently reveal every target phase or an arbitrary nonperiodic optical pulse.
For a singly charged track perpendicular to a uniform magnetic field, its curvature gives magnetic rigidity , and the bend direction gives the sign of electric charge. The mass shell relation and four-momentum relation between energy and velocity give
For a known path length and constant velocity, time of flight therefore gives
This measures rest mass under an assigned electric charge magnitude. Curvature alone measures , so independent evidence for matters. In material, the measured delay is instead ; matching a local Cherenkov detector velocity to an upstream momentum requires an energy-loss correction.
As an original illustrative calculation, choose and , with rounded input rest energies and . Constant-velocity propagation gives
Both particles have the same selected momentum and negative electric charge, yet their time of flight separation is about . These are calculated values for a deliberately simplified example, not measured discovery events.
Figure 1.
Simulated momentum and velocity tests distinguish antiprotons from negative pions
. Original simulation with chosen populations and resolutions, not historical event data or abundances. The left panel assumes constant velocity over . The right panel applies a toy energy loss before a local velocity reading and overlays historical C2 acceptance and C1 guard boundaries.[ref] Details.
For example, the toy energy loss changes the central antiproton velocity from to . Directly substituting the slower downstream value together with the upstream momentum would overestimate the rest mass. The two panels thus describe different stages of a deliberately specified model; their numerical consistency depends on propagating energy between stages. Likewise, the scattered-pion markers represent an erroneous C2 response, not actual slow pions; an upstream C1 signal still rejects them.
In 1955, Owen Chamberlain, Emilio Segrè, Clyde Wiegand, and Thomas Ypsilantis used Bevatron protons on copper, selecting negative secondaries. Magnetic fields selected ; scintillation counters S1 and S2 measured time of flight over . Cherenkov detector C1 flagged ; C2 accepted after material losses. S3 checked traversal. The cuts rejected negative pions.[ref]
Chamberlain's 1959 account describes C2's quartz radiator, mirrors, and photomultiplier readout. The trigger combined delayed scintillation counter signals with C2; photographed oscilloscope traces exposed fast particles and accidental coincidences through C1 pulses or extra pulses. Reversing the magnetic fields provided a positive-proton control and revealed an alignment error. Changing selected momentum at fixed velocity acceptance tested for a proton-mass peak.[ref]
Terminal-event studies remained unfinished; the 1955 identification did not rely on annihilation.[ref]
Figure 1.
Functional chain for identifying a negative particle of proton mass
. An original functional diagram, with preparation, selection, independent velocity tests, and controls. Arrows indicate information flow, not the physical beamline layout. Details.
The logic is useful far beyond this experiment. A magnetic field separates electric charge signs and magnetic rigidity, but particles of different rest masses can share both. A time of flight signal adds velocity, while a Cherenkov detector independently checks whether that velocity is plausible. An accidental coincidence can imitate the delay of a slow particle without being one particle traversing the apparatus. Agreement between independent measurements is therefore part of the inference, rather than a redundant decoration.
The 1995 sodium experiment combined laser cooling with a magnetic quadrupole trap and a repulsive optical plug protecting its field zero. Radio frequency evaporation preceded release and absorption imaging after time of flight. Lowering the evaporation cut produced broad thermal wings and a narrow core. Moving the plug changed the core's expansion orientation while the thermal distribution remained spherical: a control connecting the feature to confinement. Overlap of the two trapped pockets and residual switch-off acceleration limited quantitative shape comparisons; repulsive interactions affected expansion.[ref]