Abstract
The Gamow-Teller (GT) strength distribution has been investigated in a high-resolution (${}^{3}$He,$t$) charge-exchange experiment on the double-beta ($\ensuremath{\beta}\ensuremath{\beta}$) decaying nucleus ${}^{96}$Zr. The experiment was carried out at the Osaka University Research Center for Nuclear Physics (RCNP) with a 420 MeV incident ${}^{3}$He beam and the Grand Raiden magnetic spectrometer. A final-state energy resolution of 32 keV was achieved. A large fraction of the low-energy GT${}^{\ensuremath{-}}$ strength is identified in a single state at 694 keV. A similar observation has been made in a ${}^{96}$Mo($d$,${}^{2}$He)${}^{96}$Nb experiment at 120 keV resolution for the GT${}^{+}$ strength. It is found that this single state makes up nearly 100$%$ of the nuclear matrix element for the ${}^{96}$Zr two-neutrino double-beta ($2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$) decay.
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