Isospin mixing of $2^{+}$ states in ${}^{14}\mathrm{N}$

I have investigated the possibility that the near vanishing of the proton strength of the 9.17-MeV state in ${}^{14}\mathrm{N}$ could be due to isospin mixing. If the two levels involved are at 9.17 and 8.98 MeV, the mixing intensity is 0.41(9) with a $T$-mixing matrix element of 94(10) keV. Some consequences of such mixing are examined.

Figure 1

Plot of the $T=0$ spectroscopic amplitude $A_0$ vs the amount of $T$-mixing $v^2$ required to reproduce the experimental proton spectroscopic factors for the 8.98- and 9.17-MeV $2^{+}$ states of ${}^{14}\mathrm{N}$.