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  1. We review the computation of and associated uncertainties in the current understanding of the relic neutrino background due to core-collapse supernovae, black hole formation and neutron star merger events. We consider the current status of uncertainties due to the nuclear equation of state (EoS), the progenitor masses, the source supernova neutrino spectrum, the cosmological star formation rate, the stellar initial mass function, neutrino oscillations, and neutrino self-interactions. We summarize the current viability of future neutrino detectors to distinguish the nuclear EoS and the temperature of supernova neutrinos via the detected relic supernova neutrino spectrum. 
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  3. In the network of reactions present in the Big Bang nucleosynthesis, the 3 He(n, p) 3 H has an important role which impacts the final 7 Li abundance. The Trojan Horse Method (THM) has been applied to the 3 He(d, pt)H reaction in order to extract the astrophysical S(E)-factor of the 3 He(n, p ) 3 H in the Gamow energy range. The experiment will be described in the present work together with the first preliminary results. 
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