We calculated neutrino reactions on 40 Ar for detecting core-collapsing supernovae (SNe) neutrinos. The nucleus was originally exploited to identify the solar neutrino emitted from 8 B produced in pp chains on the Sun. With the higher energy neutrinos emitted from the core-collapsing SNe, contributions from higher multipole transitions, as well as from the Gamow-Teller and Fermi transitions, are shown to be important ingredients for understanding reactions induced by the SN neutrino. Moreover, higher excited states beyond a few states known in experiment diminish significantly the expected large difference between the cross sections of ν e andν e reactions on 40 Ar, which difference is anticipated because of the large Q value in theν e reaction. The reduction is shown to lead to a difference between them of only a factor of 2.Neutrino reactions on 40 Ar are of astrophysical importance because the reactions are used to detect the solar neutrino emitted from 8 B in the Sun through the liquid argon time projection chamber (LArTPC) in ICARUS (Imaging of Cosmic and Rare Underground Signals) [1]. Since the maximum energy of the solar neutrino is thought to be about 17 MeV in the standard solar model, the neutrino reactions are sensitive to discrete energy states of 40 Ar. The Q value for the 40 Ar(ν e ,e − ) 40 K * reaction is 1.50 MeV, while it is 7.48 MeV for the 40 Ar(ν e ,e + ) 40 Cl * reaction. Moreover, in 40 Cl * only two excited states for the Gamow-Teller (GT) transition are known with no excited isobaric analog states. Therefore, the 40 Ar(ν e ,e + ) 40 Cl * reaction might be kinematically disfavored in the solar neutrino. In this respect, 40 Ar was claimed to effectively distinguish the ν e andν e emitted from the Sun.Recently, Ref.[2] revised previous work [3] by focusing on the possible detection of neutrino oscillation of supernova (SN) neutrinos. The SN neutrinos may give valuable information about neutrino properties, such as the ν mixing angle θ 13 and the mass hierarchy, because they traverse regions of dense matter in the exploding star where matter-enhanced oscillations take place.One possible way to extract such information is to investigate the abundances of light nuclei, 7 Li and 11 B, which are abundantly produced through the ν process, that is, ν-induced reactions on related nuclei in core-collapsing SNe [4,5]. Since the ν-induced reaction might be sensitive to the ν properties as well as ν flavors, their abundances could be sensitive to the ν parameters.Another way is to directly detect the ν signals coming from core-collapsing SN explosions on the Earth through the LArTPC detector [6]. This ICARUS-like detector is also planned to detect the neutrino beam at CERN [7].Since neutrino energies from SN explosions are expected to be higher than those stemming from the solar neutrino [4,5], one needs to consider the contributions from higher multipole * Corresponding author: cheoun@ssu.ac.kr transitions. Random phase approximation (RPA) calculations [2,3,8] showed that contributions from higher mult...