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Setup of a Drift Tube Muon Tracker and Calibration of Muon ...

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Name Reaction Flux [cm −2 s −1 ] E ν,max [MeV ]pp p + p → d + e + + ν e 5.97 × 10 10 0.422pep p + e − + p → d + ν e 1.41 × 10 8 1.442 †hep 3 He + p → 4 He + e + + ν e 7.90 × 10 3 18.87 Be 7 Be + e − → 7 Li + ν e 5.07 × 10 9 0.861 † /0.384 †8 B 8 B → 8 Be + e + + ν e 5.94 × 10 6 16.3413 N 13 N → 13 C + e + + ν e 2.88 × 10 8 1.19915 O 15 O → 15 N + e + + ν e 2.15 × 10 8 1.732Table 2.2: Solar neutrino fluxes on Earth <strong>and</strong> energies. The fluxes are predictedby the BPS08(GS) SSM [41]. Neutrinos marked † are mono energetic, for all otherneutrinos the maximum energy is given.Solar neutrino experiments set an upper limit <strong>of</strong> 2.9% to the fraction <strong>of</strong> energy thatthe Sun produces via the CNO fusion cycle [41]. In principle, reactions includingalso heavier elements are possible. They highly depend on the temperature <strong>and</strong> theabundances <strong>of</strong> elements in the star <strong>and</strong> do not yet contribute to the energy productionin our Sun. To be able to predict the neutrino fluxes from the different processesa variety <strong>of</strong> input parameters is needed for the solar models. One key parameteris the Sun’s metallicity Z, being the fraction <strong>of</strong> heavy elements (> He) in the star.The most elaborate calculations have been developed by the late John N Bahcall [42]<strong>and</strong> are continued by Peña-Garay <strong>and</strong> Serenelli [41]. There are significant differencesbetween models assuming a high metallicity (GS) or low heavy metal abundances(AGS). High metallicity models are more consistent with helioseismological data <strong>and</strong>the predicted neutrino fluxes from this model are presented in Tab. 2.2.For the pp chain <strong>and</strong> the CNO I cycle, the net process for fusion is always4p → 4 He + 2e + + 2ν e + 26.73MeV.About 2% <strong>of</strong> the released energy is carried <strong>of</strong>f by the neutrinos. Flux <strong>and</strong> energy forneutrinos originating from the different processes are shown in Figure 2.1. Neutrinosoriginating from the pep process as well as the fusion <strong>of</strong> 7 Be <strong>and</strong> a proton are monoenergetic because the end state only contains two particles thus resembling a twobody decay. Neutrinos from the pp reaction have the highest abundance, but arewith an energy < 422keV hard to detect.2.3.2 Solar Physics – Solar Neutrinos as MessengersUnlike other particles, neutrinos are the only fusion products in the center <strong>of</strong> the Sunthat have the ability to penetrate to the surface <strong>and</strong> escape into space immediately.Studying the properties <strong>of</strong> solar neutrinos thus makes it possible to study the processesin the core <strong>of</strong> our Sun. Measuring the individual fluxes <strong>of</strong> solar neutrinos fromthe different fusion process allows to constrain the abundances <strong>of</strong> different elementsas well as temperature <strong>and</strong> pressure conditions inside the Sun.Comparing the measured solar neutrino flux to the observed photon luminosity<strong>of</strong> the Sun allows to test the fundamental idea that the Sun shines by nuclear fusion.It takes a few thous<strong>and</strong>s <strong>of</strong> years for visible light produced in the Sun’s core toreach the Sun’s surface, whereas neutrinos are emitted immediately. Neutrino flux12

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