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Nuclear & Particle Physics

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Nuclear & Particle Physics

Isotones

Nuclides of different chemical elements that share the exact same number of neutrons N = A - Z while possessing different proton numbers Z.

N = A - Z = Constant Dimensionless Species
Nuclear & Particle Physics

Isotopes

Variants of a particular chemical element that possess identical atomic numbers Z (same number of protons) but different mass numbers A…

Nuclide Symbol: ᴬ_Z X (Same Z, Different A) Dimensionless Species
Nuclear & Particle Physics

Large Hadron Collider (LHC)

The world's largest and highest-energy particle accelerator, located in a 27-kilometer underground circular tunnel at CERN near Geneva.

Center-of-Mass Energy √s = 13.6 TeV TeV (Tera-electronvolts)
Nuclear & Particle Physics

Leptons

A family of elementary spin-1/2 fermions that do not experience the strong nuclear interaction.

Spin = ½, Baryon Number B = 0, Lepton Number L = 1 Elementary Particle Class
Nuclear & Particle Physics

Liquid Drop Model

A classical nuclear model treating the atomic nucleus as an incompressible liquid droplet of dense nuclear fluid bound by short-range…

E_b = a_v A - a_s A^(2/3) - a_c Z²/A^(1/3) - a_a (A-2Z)²/A + δ MeV (Binding Energy Calculation)
Nuclear & Particle Physics

Mass Defect

The difference between the total mass of an atom's individual free nucleons and the actual smaller mass of the bound atomic nucleus.

Δm = Z m_p + (A - Z) m_n - M_nucleus u (Atomic Mass Units) or MeV/c²
Nuclear & Particle Physics

Mean Life

The average expected lifetime of a radioactive nucleus before undergoing radioactive decay.

τ = 1 / λ = t_½ / ln(2) ≈ 1.443 t_½ Seconds or Years
Nuclear & Particle Physics

Mesons

Hadronic subatomic particles composed of one valence quark and one valence antiquark bound by gluons.

Quark Content: q q̄, Spin = 0, 1, Baryon Number = 0 Composite Boson Class
Nuclear & Particle Physics

Muon

A second-generation elementary charged lepton with a mass approximately 207 times greater than an electron.

m_μ ≈ 105.66 MeV/c², τ_μ ≈ 2.2 μs, Spin = ½ MeV/c² (Mass Energy)
Nuclear & Particle Physics

Neutrino

An extremely light, electrically neutral spin-1/2 elementary lepton that interacts almost exclusively via the weak nuclear force.

m_ν < 0.1 eV/c², Spin = ½, Charge = 0 eV/c² (Mass Limit)
Nuclear & Particle Physics

Neutrino Oscillations

A quantum mechanical phenomenon in which a neutrino created with a specific lepton flavor changes flavor as it propagates through space.

P(ν_α → ν_β) = sin²(2θ) sin²(1.27 Δm² L / E) Probability (0 to 1)
Nuclear & Particle Physics

Nuclear Binding Energy

The minimum energy required to completely disassemble an atomic nucleus into its constituent protons and neutrons.

E_b = Δm c² = [Z m_p + (A - Z) m_n - M_nucleus] c² MeV (Mega-electronvolts)
Nuclear & Particle Physics

Nuclear Fission

A nuclear reaction in which a heavy nucleus splits into two or more smaller daughter nuclei accompanied by the release of neutrons and…

¹₀n + ²³⁵₉₂U → ²³⁶₉₂U* → ¹⁴¹₅₆Ba + ⁹²₃₆Kr + 3 ¹₀n + Q (~200 MeV) MeV (Mega-electronvolts)
Nuclear & Particle Physics

Nuclear Fusion

A nuclear reaction in which two light atomic nuclei collide and combine to form a single heavier nucleus, releasing vast amounts of energy.

²₁H + ³₁H → ⁴₂He + ¹₀n + 17.6 MeV MeV (Mega-electronvolts)
Nuclear & Particle Physics

Nuclear Reactor

An engineered facility in which a controlled self-sustaining nuclear chain reaction is maintained to generate thermal energy for electrical…

Multiplication Factor k = Neutrons in generation (i+1) / Neutrons in generation i MWth or MWe (Power Capacity)
Nuclear & Particle Physics

Nuclear Shell Model

A quantum nuclear model describing nuclear energy levels in terms of individual nucleons moving inside a central potential well with strong…

Magic Numbers: 2, 8, 20, 28, 50, 82, 126 Quantized Energy Shells
Nuclear & Particle Physics

Nuclear Stability

A measure of a nuclide's resistance to spontaneous radioactive decay, determined by the balance between nuclear strong attraction and…

N/Z ≈ 1 (for light nuclei), N/Z ≈ 1.5 (for heavy nuclei) Dimensionless N/Z Ratio
Nuclear & Particle Physics

Parity Violation

The discovery that the weak nuclear force distinguishes between left-handed and right-handed spatial orientations, violating spatial mirror…

P |Ψ(x, y, z)⟩ = - |Ψ(-x, -y, -z)⟩ (Violated in weak decays) Symmetry Violation
Nuclear & Particle Physics

Q-Value

The net amount of energy released or absorbed during a nuclear reaction or radioactive decay process.

Q = (m_reactants - m_products) c² MeV (Mega-electronvolts)
Nuclear & Particle Physics

Quantum Chromodynamics (QCD)

The relativistic quantum field theory describing the strong nuclear interaction between color-charged quarks and gluons.

L_QCD = q̄ (i γ^μ D_μ - m) q - ¼ G^a_μν G^a,μν Non-Abelian Gauge Theory
Nuclear & Particle Physics

Quark Flavor

The quantum property that distinguishes the six fundamental types of quarks in the Standard Model.

6 Flavors: u, d, c, s, t, b Quantum Numbers (S, C, B, T)
Nuclear & Particle Physics

Quarks

Fundamental spin-1/2 elementary particles that experience all four fundamental interactions and combine via the strong force to form…

q = +⅔ e (u, c, t), q = -⅓ e (d, s, b) Fractional Elementary Charge e
Nuclear & Particle Physics

Radioactive Decay

The spontaneous process by which an unstable atomic nucleus loses energy by emitting ionizing radiation (particles or electromagnetic rays).

N(t) = N₀ e^(-λ t), A(t) = λ N(t) Bq (Bequerels = decays/s) or Ci (Curies)
Nuclear & Particle Physics

Radioactive Tracer

A chemical compound containing a radioisotope used to trace chemical or biological pathways through living organisms or industrial systems.

A(t) = A₀ e^(-λ t) (Short half-life diagnostic radiopharmaceutical) MBq or mCi (Administered Activity)