Abstract
A new precision half-life measurement of $^{13}\mathrm{N}$ has been conducted using the TwinSol $\ensuremath{\beta}$-counting station at the University of Notre Dame. The measured value of ${t}_{1/2}^{\mathrm{new}}=597.05(19)\phantom{\rule{4pt}{0ex}}\mathrm{s}$ differs from the previous world value by about $2.8\ensuremath{\sigma}$. An evaluation of the $^{13}\mathrm{N}$ half-life results in a ${t}_{1/2}^{\mathrm{world}}=597.19(22)\phantom{\rule{4pt}{0ex}}\mathrm{s}$. Updated standard model predictions for the Fermi to Gamow-Teller mixing ratio $\ensuremath{\rho}$ and its associated correlation parameters have been calculated using the new $^{13}\mathrm{N}$ world half-life in preparation for a future measurement of the mixing ratio. Finally, an ab initio no-core configuration interaction (NCCI) calculation for the $B(\mathrm{GT})$ of this decay, carried out using the Daejeon16 interaction, has been performed, revealing the need for higher-order chiral corrections.
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