A collaboration is designing a long-baseline accelerator neutrino experiment with a…
PHYSICS · Multi-part · Fermi University Physics · Particle Physics & Quantum Fields · Flavour, neutrinos and CP violation · Flavour, neutrinos and CP violation
Symmetry and Flavour, Ch Neutrino masses, mixing and oscillations
Problem
A collaboration is designing a long-baseline accelerator neutrino experiment with a fixed baseline L=1300km between the neutrino source and the far detector. They want the beam energy E chosen so that the experiment sits at the first oscillation maximum for the atmospheric splitting Δm312=2.513×10−3eV2 (NuFIT 6.0, 2024, normal ordering), using the oscillation phase 1.267Δm2[eV2]L[km]/E[GeV].
((a)) Find the beam energy E (in GeV) that gives a phase of π/2 at this baseline for Δm312.
((b)) At this same baseline and beam energy, compute the oscillation phase associated with the solar splitting Δm212=7.49×10−5eV2, and the corresponding sin2(⋅) factor.
((c)) State, with a reason drawn from (b), whether this experiment is well placed to measure Δm212, and contrast this with a reactor experiment using a 180km baseline and a few-MeVνˉe beam.