New Triple-\boldmath$\alpha$ Reaction Rates from the Second \boldmath$J^\pi=2^+$ State in \boldmath${}^{12}\mathrm{C}$

The second $J^\pi = 2^+$ state in ${}^{12}\mathrm{C}$, recently identified near 10~MeV in the ${}^{12}\mathrm{C}$($\gamma$,$\alpha$)${}^{8}\mathrm{Be}$ reaction [1], can affect the triple-$\alpha$ reaction rates at high temperatures. These rates can determine the outcome of nucleo\-synthesis during supernovae and other explosive astrophysical scenarios. We present new high-temperature triple-$\alpha$ reaction rates calculated by including the $2^+$ state near 10~MeV\@. Simulations of explosive nucleo\-synthesis which include the $\nu p$ process are being performed to investigate the possible implication of these new rates on the production of heavy elements during core-collapse supernovae.\\[4pt] [1] W.~R.~Zimmerman \emph{et al.}, Phys.\ Rev.\ Lett.\ \textbf{110}, 152502 (2013)