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Avraham‘s Trip from Wonderlands of „Strangeness“ to „Neutrino Oscillations “

Avraham‘s Trip from Wonderlands of „Strangeness“ to „Neutrino Oscillations “. Neutrinos do not oscillate yet at Gsi Avraham Gal, arXiv: 0809.1213v1 [nucl-th] arXiv: 0809.1213 v1 [nucl-th].

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Avraham‘s Trip from Wonderlands of „Strangeness“ to „Neutrino Oscillations “

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  1. Avraham‘s Trip fromWonderlandsof „Strangeness“ to „Neutrino Oscillations“ Neutrinos do not oscillate yet at Gsi Avraham Gal,arXiv: 0809.1213v1 [nucl-th] arXiv: 0809.1213 v1 [nucl-th] DearAvraham, I desperatelyexplainedyou, thatwecan in principle not observeneutrinosduringthedecay, onlytheentangleddaughternuclei, whichtellsus all abouttheneutrinos. Finally I gotnervousandsaid in a heated PANIC discussion: „Younever listen tome“. But I shouldhavelistenedtoyou. Now I understand!!!

  2. Modulated EC-Decay Spectra of 140Pr, 142Pm, 122I T=7.10(22)s a=0.22(3) T=7.06(8)s a=0.18(3) T=6.05(3) s A=0.22(2) Preliminary Preliminary 122I 122I Neutrino Erice 16-24. 09.2009 P. Kienle

  3. Time Spectrum of the ß+ Branch of 142Pm a() a(ω=0.9 s-1) =0.03(3) Preliminary Preliminary Time following the injection in the ESR t in s Modulation amplitude a() with  in s-1 The ß+ branch of 142Pm, three times stronger than the EC branch and simultaneously observed with a modulation frequency ω = 0.90 s-1 and an amplitude a = 0.18(5), shows a vanishing small modulation amplitude a = 0.03(3) Neutrino Erice 16-24. 09.2009 P. Kienle

  4. Experimental Facts- Summary Decay rate of the two-body EC branch is periodically modulated with λEC(t) = λEC (1 + aECcos(ωt + Φ) The period of modulation T = 2π/ω is about 6s (122I) and 7s(140Pr and 142Pm) The period Tscales with the atomic number Alike T A/20 in s The amplitude of modulation aEC is about equal for all decays with the value aEC ~ 0.21 The phase Φof the modulation is ~ -π/2, so λEC(t)~sin(ωt) The ß+ branch of 142Pm shows no modulation with aEC = 0.03(3) Neutrino Erice 16-24. 09.2009 P. Kienle

  5. Neutrino Quantum Beat Analogy 2 decay channels in electron neutrinos |e is a superposition of mass eigenstates |m1 and |m2>  From energy and momentum conservation in both decay channels |1>, |2> Neutrino Erice 16-24. 09.2009 P. Kienle

  6. Time Differential Observation of the decayCriterion for Neutrino Quantum Beats  Asymptotic observation: 2 Lorentz lines 12= 45 Time differential observation of daughter with time resolution dintroduces an energy uncertainty Edin the observation of |d>. For Ed  E2-E1, the two decay paths are indistinguishable  interference  decay width  Neutrino Erice 16-24. 09.2009 P. Kienle

  7. The transition amplitude of the EC decay m  d +e is given by the sum of the amplitudes A (m  d + j) (t), with the coefficient Uejtaking into account that the electron in the mother ion m couples to electron neutrino e only. Assuming 13 ~ 0 with only two neutrino mass eigen-states. Ue1 = cos12, and Ue2 = sin12 In time dependent perturbation theory the partial amplitude A (m  d + j) (t), is defined in the rest frame of the mother ion m by Neutrino Erice 16-24. 09.2009 P. Kienle

  8. Experimental Values of m² Neutrino Erice 16-24. 09.2009 P. Kienle

  9. KamLAND Antineutrino ResultsPRL 100, 221803 (2008)  EC Difference to EC neutrino m²(KL)=0.759(21)x10-4 eV² m²(EC)=2.9xm²(KamLAND) Small amplitude problem ?!? Neutrino Erice 16-24. 09.2009 P. Kienle

  10. CancellationoftheInterference Terms in using Orthogonal Neutrino Flavour Wave Functions (A. Gal, arXiv:0809.1213v3 [nucl-th] In case that the neutrinos are not observed allflavours α= e, μ ,τ contribute to the decay amplitude Interference term cancels due to unitarity of mixing matrix: Neutrino Erice 16-24. 09.2009 P. Kienle

  11. Origin of Small Modulation Amplitudes? The observed modulation amplitudes are a = 0180.03(140Pr); a = 0.220.03(142Pm), a = 0.220.02(122I) and thus equal within errors. <a>= 0.210.02 which results in a small mixing angle  = 6o compared with  ~ 34o from sun neutrinos Reduction of the modulation amplitude? Loss of phase relation by F=3/2->1/2 transition? Measurement of He-like systems proposed Partial restoration of the cancellation of the interference term due to CP violating phase shifts of the neutrino flavour wave functions? Non Unitarity of the neutrino mixing matrix by sterile neutrinos Neutrino Erice 16-24. 09.2009 P. Kienle

  12. Arbitrary Phases φα Restore InterferenceTerm partially Transition amplitude summed over flavors α = e,μ,τ with arbitrary phases φα Transition probability with interference term Interference term with time modulation ~ sin(ω21t). θ13 =0; θ23 = π/4 Amplitude of the modulation depends on the mixing angle θ12and the phase differences φμe;φτe Neutrino Erice 16-24. 09.2009 P. Kienle

  13. arXiv: 0803. 2938v4 [nucl-th] 6 Oct 2009 DearAvraham, I appreciateverymuchthatyoudirectedus on a thornypathwhichmayleadintotheflowergardenof „New Physics“

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