Lifetime and proton component of the 2$^+_1$ state in $^{16}$C

The lifetime of the 2$^+_1$ state in $^{16}$C was measured using the Recoil Distance Method with fast radioactive beams at the National Superconducting Cyclotron Laboratory. The lifetime of 11.4$\pm$0.3 ps, corresponding to a B(E2:2$^+_1$ $\rightarrow$ 0$^+_{g.s.}$) = 4.21 $\pm$ 0.11 e$^2$fm$^4$, is in good agreement with previous values [1]. Excited states in $^{16}$C were populated via the $^9$Be($^{17}$N,$^{16}$C+$\gamma$)X one-proton knockout reaction. The one-proton knockout cross section is used to extract the proton component of the $^{16}$C 2$^+_1$ state. Gamma branching ratios between excited states were also determined. The B(E2) and branching ratios will be compared with p-sd shell model and no core shell model (with NN and NN+NNN) calculations.\\[4pt] [1] M. Wiedeking et al., Phys. Rev. Lett., 100, 152501 (2008).