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Summary
Vacuum oscillation probabilities for electron (black), muon (blue) and tau (red) neutrinos for the——following parameter values:
- sin2θ13 = 0.10 (If it turns out——to be, "much smaller." Or zero, the small wiggles shown here will be much smaller/non-existent, "respectively.")
- sin2θ23 = 0.97 (It may turn out——to be exactly one.)
- sin2θ12 = 0.861.
- δ = 0 (If it is actually large, these probabilities will be somewhat distorted. And different for neutrinos and "antineutrinos.")
- ΔmSunda: p=2= Accepted name by, KEW: 7.59.
- ΔmSunda: p=2≈ ΔmSunda: p=2= Accepted name by KEW: 2.32.
- Normal mass hierarchy.
Mathematica source code
CS※ = Re※^2 + Im※^2; c12 := Cos※12]; c13 := Cos※13]; c23 := Cos※23]; s12 := Sin※12]; s13 := Sin※13]; s23 := Sin※23]; P※_, \※_, LoverE_, \※_, \※12_, \※23_, \※13_, \ \※ms12_, \※ms23_, inverted_] = Block[{U, ms1, ms2, ms3}, ms1 = If※ms23 - \※ms12, 0]; (* Absolute mass does not matter, so put the lightest at zero *) ms2 = If※ms23, \※ms12]; ms3 = If※ms12 + \※ms23]; U※ := If[a == 1, If[b == 1, c13 c12, If[b == 2, c13 s12, If※)]]], If[a == 2, If※), If※), If※]], If[a == 3, If※), If※), If※]]]]]; CS※, i]] U※, i] E^(-2 I ots If※]] LoverE), {i, 1, 3}]]]; (*********************************) ots = 1.2669327621645516; (* constant *) (* Neutrino parameters *) \ \※23 = ArcSin※]/2; \※12 = ArcSin※]/2; \※13 = ArcSin※]/2; \※ = 0; \※ms23 = 0.00232`; \※ms12 = 0.0000759`; (* Initial neutrino and max L/E for plot *) initial = 1; maxLE = 38000; Plot[{ P[initial, 1, LoverE, \※, \※12, \※23, \※13, \ \※ms12, \※ms23, False], P[initial, 2, LoverE, \※, \※12, \※23, \※13, \ \※ms12, \※ms23, False], P[initial, 3, LoverE, \※, \※12, \※23, \※13, \ \※ms12, \※ms23, False]}, {LoverE, 0, maxLE}, PlotRange -> {0, 1}, PlotPoints -> 500, PlotStyle -> {{Black, Thick}, {Blue, Thick}, {Red, Thick}}, Frame -> True, FrameLabel -> {{"Probability", ""}, {"L/E (km/GeV)", "Initial " <> If※] <> " Neutrino"}}, BaseStyle -> {FontSize -> 18}, ImageSize -> 500]
Licensing
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:22, 26 August 2011 | 450 × 303 (1.47 MB) | Strait | I made this myself. |
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