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Neutrino reactions on $^{40}$Ar via charged and neutral currents fordetecting solar and core collapsing supernovae (SNe) neutrinos and the GamowTeller strength are calculated by considering the high-lying excited states upto a few tens of MeV region. The nucleus was originally exploited to identifythe solar neutrino emitted from $^{8}$B produced in the pp-chains on the Sun.With the higher energy neutrinos emitted from the core collapsing SNe,contributions from higher multi-pole transitions including the spin dipoleresonances (SDR) as well as the Gamow Teller (GT) and Fermi transitions areshown to be important ingredients for understanding reactions induced by theSNe as well as solar neutrinos. In this work, we focused on the role ofhigh-lying excited states which are located beyond a few low-lying states knownin the experiment. Expected large difference between the cross sections of$\nu_e$ and ${\bar \nu_e}$ reactions on $^{40}$Ar, which difference has beenanticipated in previous calculations because of the large Q value in the ${\bar\nu}_e$ reaction, is significantly diminished. The reduction leads only toabout 2 times difference between them. Our calculations are carried out by theQuasi-particle Random Phase Approximation (QRPA), which takes account of theneutron-proton pairing as well as proton-proton and neutron-neutron pairingcorrelations. They were successfully applied in the description of the nuclearbeta decay and relevant neutrino reaction data on $^{12}$C and $^{56}$Fe, andthe GT data on the $^{138}$La and $^{180}$Ta.

Roles of High-lying Excited States on Neutrino Reactions and the Gamow Teller strength for $^{40}$Ar