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The ATLAS experiment is a general-purpose particle detector at the Large Hadron Collider. Layers around the collision point combine track reconstruction, electromagnetic and hadronic calorimeters, and outer muon detectors. A central solenoid and larger toroidal magnet system provide magnetic bending in different detector regions.^[ref]

A charged track's curvature estimates momentum; a calorimeter measures deposited energy; outer signals help identify penetrating muons. Combining these measurements distinguishes candidate particle types and reconstructs decays. Apparent missing transverse momentum is an event balance inferred from the measured products, so detector coverage, calibration and reconstruction errors also affect it.

The becquerel, symbol $\mathrm{Bq}$, is the SI unit of radioactive activity, with $1\mathrm{Bq}=1{\mathrm{s}}^{-1}$. An radioactive activity of one becquerel means one expected nuclear transformation per second under the stated conditions, not a guarantee of one event in every individual second.

Measured count rate need not equal radioactive activity. A particle detector registers only some decays because of geometry and detection efficiency, and one transformation can emit several particles or none detectable by that instrument. Activity also differs from deposited energy or absorbed dose: those depend on the emitted particles, their energies and where their interactions occur.

A charged particle carries nonzero electric charge and couples to an electromagnetic field. For a classical point particle, the Lorentz force is $\mathbf{F}=q(\mathbf{E}+\mathbf{v}\times \mathbf{B})$ in SI, distinguishing electric acceleration from velocity-dependent magnetic deflection.

An electron, a proton and an ion are examples with different masses and charge-to-mass ratios. A magnetic field can bend their tracks in a particle detector, while ionization along the path makes them observable in a cloud chamber or bubble chamber. A neutral particle can still interact electromagnetically through internal structure or moments; zero net charge does not imply total electromagnetic invisibility.

Cherenkov radiation is electromagnetic radiation from a charged particle exceeding the medium's phase velocity: $c/n(\omega )<v<c$. Here $n(\omega )$ is the positive refractive index at angular frequency $\omega$. The threshold uses phase velocity, not group velocity.^[ref]

The beauty of Cherenkov radiation is that uniform motion can generate a sharply directed electromagnetic wave: the medium's response along successive portions of the track adds with matching wave phase on a cone. The moving electric charge drives the medium's electric polarization; the resulting radiation depends on the collective refractive index. This differs from luminescence, where excitation of material is followed by light emission. Both mechanisms can contribute to the same irradiated sample. A visible blue glow alone therefore identifies neither Cherenkov radiation nor a particular radioactive source.

The Cherenkov cone angle turns a measured direction into a constraint on particle speed when the refractive index is known. The Frank-Tamm formula instead predicts the number of emitted photons in a specified wavelength interval. These are complementary observables: the finite-band Cherenkov yield model below shows why both depend on optical dispersion and on which wavelengths are collected. This makes Cherenkov radiation useful for particle detectors, with photon production, transport and detection treated separately.

The Compact Muon Solenoid is a general-purpose particle detector at the Large Hadron Collider, commonly called the CMS experiment. Its superconducting solenoid surrounds central tracking and calorimeter systems; outer muon detectors work with the magnet's return structure.^[ref]

Charged-particle bending constrains momentum, while electromagnetic and hadronic calorimeters measure deposited energy. Combining tracker, calorimeter and muon information identifies candidate collision products. Agreement among these measurements is more informative than any one image or signal; trigger selection and reconstruction efficiency must also be accounted for when inferring a production rate.

A hollow D-shaped electrode that shields a circulating ion from the accelerating electric field during one half-turn. Two opposed cyclotron dees provide two shielded regions separated by a gap; their electric potential difference alternates. The vacuum reduces collisions with residual gas. An ion source supplies particles near the center, and an extraction system directs an outer orbit toward a particle detector or target. Useful electric current depends on retaining particles near the median plane and delivering them to the outlet, as well as on increasing their kinetic energy.

An experimental physicist who develops particle detectors and applies nuclear-physics instrumentation to biomedical imaging.^[ref] In his presentation on detector technology, a scintillator converts deposited gamma ray energy into optical light, and a photomultiplier turns that light into an electrical signal. Combining position-sensitive detection with compact detector modules enables specialized gamma cameras rather than requiring every imaging task to use the same instrument.^[ref]

A particle detector in which an ionizing event triggers a gas discharge and a counted electrical pulse.

Georges Charpak developed the multiwire proportional chamber, replacing repeated photographic recording with electronic measurements of charged-particle passages. Ionization electrons drift through a gas toward thin wires; the strong local electric field produces avalanches and readable pulses. Knowing which wires respond supplies spatial information, while the electrical output permits rapid processing of many events. This connects microscopic ionization with the practical rate and position resolution of a particle detector.^[ref]

A physicist who developed electronic particle detectors at CERN.^[ref]

John G. Wood was an accelerator technician who helped develop the hydrogen bubble chamber in Luis Walter Alvarez's group. Alvarez's retrospective describes Wood constructing an all-glass chamber about $1.5$ inches across and observing particle tracks in liquid hydrogen in early 1954. The visible tracks established more than an increase in bulk boiling under irradiation: a usable particle detector needed enough localized bubbles to resolve individual trajectories.^[ref]

Wood's observations also helped show that a long-lived state of superheating was unnecessary. With rapid expansion, useful particle tracks could form in the chamber's interior before boiling at the walls destroyed its sensitivity. That operational insight made larger bubble chambers with joints and windows practical, extending the instrument beyond small, exceptionally smooth all-glass vessels.^[ref]

Use natural units $c=1$ and the Minkowski metric with signs $(+,-,-,-)$. In the ideal centre-of-momentum frame, assume a known initial four-momentum $P=(\sqrt{s},0)$, no unaccounted radiation and exact visible reconstruction. DefineThe missing four-momentum in electron-positron collisions is a subtraction of measured quantities. It is not itself a particle detector hit. With $M_{e\mu }^2=(p_e+p_{\mu }{)}^2$, expansion gives the useful identityFor any collection of future-directed massless invisible four-momenta $q_i=E_i(1,{\hat{\mathbf{n}}}_i)$,Thus a positive missing invariant mass excludes exactly one massless invisible particle under the stated assumptions. It does not exclude one massive invisible particle, identify a neutrino flavor, or determine the number of massless invisible particles beyond that lower bound. Several collinear massless particles can even have zero combined invariant mass. Detector resolution and unaccounted radiation invalidate a literal event-by-event interpretation of these ideal inequalities.

For an original exact example in natural units, choose total energy $6\mathrm{GeV}$ and visible massless four-momenta, in $\mathrm{GeV}$,Two possible invisible massless four-momenta are $(2;-1/2,-1/2,\sqrt{14}/2)$ and $(2;-1/2,-1/2,-\sqrt{14}/2)$. Splitting either into two positive collinear parts gives a three-particle interpretation with identical recoil. Alternatively, one invisible particle of mass $\sqrt{14}\mathrm{GeV}$ has that recoil. This example tests the ambiguity of the subtraction, without asserting any of these alternatives is a tau lepton decay.

Let $v$ be the source velocity towards the absorber, positive for approach along the photon direction. A first-order Lorentz transformation of the photon energy gives $E^{\prime }=E+vp$; hence, for $|v|\ll c$,Moving the source shifts its emission line through the stationary absorption line. A minimum in transmitted photon counts marks their strongest overlap. The absorber is the narrow energy discriminator; the downstream particle detector only needs to count the transmitted gamma rays.

For a thin absorber with unsplit Lorentzian line shapes, the overlap is a convolution of the source and absorber profiles. The combined full width at half maximum is $W={\Gamma }_s+{\Gamma }_a$. A simple expected transmission model isHere $I_0$ is the off-resonance intensity, $v_0$ encodes a relative shift of the two transition energies, and $A$ includes the resonant absorber strength and $f_s{f}_a$. The convolution result can be checked by multiplying the Fourier transforms of two Cauchy distributions: their exponential decay constants add. The width of the absorption dip in velocity is $cW/E_{\gamma }$, rather than the width of one individual spectral line converted to velocity.

For the teaching system with ${\Gamma }_s={\Gamma }_a={\Gamma }_E$ and $v_0=0$, the dip's full width at half maximum is $2.9979\mathrm{mm}{\mathrm{s}}^{-1}$. Stipulate $A=0.25$ at zero temperature and $10,000$ expected off-resonance counts per equal-duration bin: the central bin then has $7,500$ expected counts, and the half-depth bins have $8,750$. These are model expectations, without sampled counting noise. Holding all other parameters fixed while heating both lattices to $k_{B}T=2\hslash \omega$ multiplies $A$ by $[f(T)/f(0){]}^2$. This isolates how a falling recoil-free fraction weakens the dip.

The thin-absorber model is deliberately limited. A thick absorber can saturate and broaden the dip; unresolved hyperfine structure can create multiple components. Differences in chemical surroundings can shift the centers, and uncontrolled motion can smear them. These effects must be modeled before interpreting an observed width as a natural linewidth. Their sensitivity also makes the Mössbauer effect useful: a small displacement of a narrow dip can reveal a small change in the local nuclear environment.

Multiple Coulomb scattering is the accumulated deflection of a charged particle passing through matter, mainly through repeated Rutherford scattering by atomic nuclei. Many small deflections broaden a beam or make a reconstructed particle track wander. A roughly Gaussian distribution describes the central angular core in a useful regime, while rarer large-angle encounters produce tails.^[ref]

The angular width increases with traversed material and decreases as particle momentum increases. It is commonly parameterized using material thickness relative to the radiation length. In a particle detector, adding measurement layers can improve position sampling while also increasing Multiple Coulomb scattering; track precision therefore depends on material as well as sensor accuracy. A width projected onto one measurement plane must be distinguished from the full spatial deflection angle.

The neutron is the electrically neutral spin-one-half baryon found with protons in most atomic nuclei.

A neutron is a nucleon: it contributes to an atomic nucleus without adding electric charge. Its spin one-half makes it a fermion, and it belongs to the baryons. Electrical neutrality does not mean an absence of interactions: a neutron can transfer momentum and kinetic energy to an atomic nucleus, producing a charged nuclear recoil that a particle detector can register. This indirect route is central to neutron detection by proton recoil.

The beautiful feature of the Chadwick neutron discovery experiment is that an unseen projectile acquired a measurable mass through the motion of things it struck. Penetration alone left competing explanations open; combining nuclear recoils from different target masses supplied a much stronger test.

Awarded to Georges Charpak for inventing and developing particle detectors, especially the multiwire proportional chamber.^[ref]

Particle detection infers a particle's passage from a physical change in matter. A cloud chamber makes the spatial pattern of ionization visible; an ionization chamber instead collects electric charge from ionization. Choosing the readout determines what can be inferred from a single event.

The Richter-Ting independent J/psi discovery experiments show how different readouts can establish the same particle resonance: reconstruct daughter invariant masses after a beam hits a stationary target, or tune the initial center-of-mass energy of two colliding beams. Both require an ensemble of events and calibrated particle detectors.

A particle detector converts an interaction involving a particle into a readable signal. A cloud chamber is a particularly direct example: tiny liquid drops turn an invisible ion trail into a photographable line.

Initial-state radiation of gluons gives the W boson nonzero transverse momentum. Its transverse Lorentz boost then changes the charged-lepton $p_T$, washing out the sharp $M_W/2$ edge and permitting events above it. The recoil must be modelled with quantum chromodynamics and constrained by measured hadronic activity. Independently, the finite W boson decay width spreads its actual invariant mass, also smearing the fixed-mass endpoint. Either is a theoretical broadening mechanism; neither is a detector-resolution effect.

Choose $W^{+}\to {\mu }^{+}{\nu }_{\mu }$. Important backgrounds include quantum chromodynamics production of heavy-flavour hadrons with semileptonic decays, in-flight pion or kaon decays, and hadrons penetrating the calorimeters. These generally have accompanying jet activity; semileptonic decays can contain real neutrinos, while jet mismeasurement can fake missing transverse momentum. Heavy-flavour tracks can originate at a displaced decay vertex. Require a high-$p_T$ isolated muon, agreement between inner tracking and the external muon system, and substantial missing transverse momentum inconsistent with detector noise or a mismeasured jet.

The genuine electroweak backgrounds include $Z\to {\mu }^{+}{\mu }^{-}$ with one muon lost and $W\to \tau \nu \to \mu \nu \nu \nu$. Veto a second reconstructed opposite-sign muon and use the dimuon invariant mass when both are present to reject the Z boson channel. The tau-mediated spectrum is softer and contains extra missing particles; template fits and control samples estimate its residual contribution. Detector acceptance determines how much of the lost-muon background survives.

In a proton-proton collision, associate the reconstructed neutral B meson with the accompanying opposite-side bottom hadron. A direct semileptonic decay $b\to c{\ell }^{-}\bar{\nu }$ tags a $b$ on that side and hence an initial $\bar{b}$, or $B^0=d\bar{b}$, on the signal side. The opposite charged lepton tags the conjugate assignment. Charged kaons from the opposite-side decay chain and same-side fragmentation tracks can supply additional statistical flavour tagging information; the common CP final state alone does not reveal the production flavour.

A magnetic spectrometer with precise silicon vertex tracking, charged-particle identification and muon or electron identification is suitable. A forward geometry can exploit the boosted bottom-hadron pairs at the LHC. It reconstructs displaced decay vertices, measures the signed tagging tracks, and infers the signal proper time from $t\simeq L{m}_B/|{\mathbf{p}}_B|$. The supplied lifetime corresponds to a rest-frame mean flight length $c\tau \simeq 0.45\mathrm{mm}$, enlarged by the boost.

Even a perfect detector cannot remove physical mistags. An opposite-side neutral bottom meson can oscillate before its semileptonic decay, reversing the lepton charge relative to its production flavour. A cascade $b\to c\to {\ell }^{+}$ produces the charge opposite to a direct $b\to {\ell }^{-}$ decay. Additional bottom pairs or unrelated fragmentation particles can also make the chosen association incorrect. For mistag probability $w$, the measured asymmetry is diluted by $D=1-2w$; this is why the tagging calibration is part of a CP measurement.