Physic Labs

Particle physics

Neutrino physics

Simulate neutrino flavor oscillation from source to detector. Measure the νμ→νe\nu_\mu \to \nu_e conversion probability versus distance L and energy E, verifying P≈sin⁡2(2θ)sin⁡2(1.27 Δm2L/E)P \approx \sin^2(2\theta)\sin^2(1.27\,\Delta m^2 L/E).

Research

Equipment

  • 3D scene from neutrino source to detector
  • Sliders for distance L and energy E
  • Illustrative P(νμ→νe) probability readout

Procedure

  1. Observe oscillation with distance

    With E fixed, drag "Distance L" and watch the neutrino beam change "flavor color" along its path to the detector. Read the P(νμ→νe) readout: the probability oscillates periodically in L — the signature of two mass states accumulating different phases Δm2L/(2E)\Delta m^2 L/(2E).

  2. Vary the energy

    At fixed L, sweep "Energy E": the probability oscillates in 1/E1/E — the oscillation wavelength scales as Losc∝E/Δm2L_{osc} \propto E/\Delta m^2. Record the peak/trough positions of P versus E and compare with P≈sin⁡2(2θ)sin⁡2(1.27 Δm2L/E)P \approx \sin^2(2\theta)\sin^2(1.27\,\Delta m^2 L/E) (L in km, E in GeV, Δm2\Delta m^2 in eV²).

  3. Reset the phase and check the maximum

    Press "Reset phase" then choose L so that 1.27 Δm2L/E=π/21.27\,\Delta m^2 L/E = \pi/2 — the conversion probability reaches its maximum sin⁡2(2θ)\sin^2(2\theta). Compare two settings (small L, large E) and (large L, small E) with the same L/E ratio: the oscillations match — only the ratio L/EL/E sets the phase.

Simulation

Experiment history

The neutrino was proposed by Wolfgang Pauli in 1930 to rescue energy conservation in β decay; Pauli himself called it undetectable — yet Reines and Cowan captured antineutrinos in 1956 with a water tank near a reactor. Bruno Pontecorvo (1957–68) proposed that neutrinos could oscillate between flavors if they carry different masses. The "solar neutrino deficit" recorded by Raymond Davis at Homestake (from 1968) — only ~1/3 of the predicted νₑ flux — was resolved when Super-Kamiokande (Koshiba, 1998) saw atmospheric-neutrino oscillation and SNO (McDonald, 2001–02) proved νₑ convert into νμ/ντ. The 2015 Nobel Prize went to Kajita and McDonald. Oscillation proves neutrinos have mass — the first crack in the Standard Model.

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