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We have made a new time-dependent calculation of the supernova productionratio of the long-lived isomeric state of $^{180}$Ta. Such a time-dependentsolution is crucial for understanding the production and survival of thisisotope. We include the explicit linking between the isomer and all knownexcited states.We have also calculated the properties of possible links to aconjectured excited state that might decrease the final isomer residual ratio.We find that the explicit time evolution of the synthesis of $^{180}$Ta usingthe available nuclear data avoids the overproduction relative to $^{138}$La fora $\nu$-process neutrino temperature of 4 MeV.

New estimate for the time-dependent thermal nucleosynthesis of $^{180}$Ta$^m$