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Neutrino-induced reactions on 56 Fe and 56 Ni are investigated based on a new shell-model Hamiltonian for pf shell. The calculated charged current reaction cross section on 56 Fe induced by decay-at-rest (DAR) neutrinos is shown to be consistent with the observation. The Gamow-Teller strength in 56 Ni is found to be more spread compared to previous calculations and result in a considerably large branching ratio for the proton knock-out channel. As a consequence of this, the production yields of heavy elements such as 55 Mn in population III stars are shown to be enhanced for the new Hamiltonian.

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Systematic studies are carried out for Xe, Ba, Ce, and Nd isotopes within the framework of the pairtruncated shell model where the collective nucleon pairs with angular momenta zero ͑S͒ and two ͑D͒ are assumed to be the building blocks for even-even nuclei. An additional unpaired nucleon is added to the even-even core for a description of odd-mass nuclei. It is found that energy spectra of the low-lying states are nicely reproduced along with intraband and interband E2 transitions, which simulate the typical features of the O(6) limit of the interacting boson model.