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The effect of the two-nucleon excitation from $p$ to $sd$ shell is discussedin $^{12}$C and $^{14}$C in the frame work of shell model. The recentlysuggested shell-model Hamiltonian YSOX provides an suitable tool to investigatethe $2~\hbar\omega$ excitation in $psd$ region. Because the strength of the$<pp|V|sdsd>$ interaction, which represents the interaction between the$0~\hbar\omega$ and $2~\hbar\omega$ configurations, is considered in theconstruction of the YSOX. The level of $^{12}$C is almost independent on the$<pp|V|sdsd>$ interaction, but excitation energies of certain states in$^{14}$C are strongly affected by it. Further investigation shows that thepercentage of $2~\hbar\omega$ configuration in these states is quite differentfrom that of the ground state.

Two-nucleon excitation from $p$ to $sd$ shell in $^{12,14}$C