SU(3) Breaking Effects in Charmed Meson Decays

Abstract

The decay rates of $D^+\toπ^+π^0$ and $D^0\to K^+π^-$ recently measured by CLEO give the ratios $R_1=2|V_{cs}/V_{cd}|^2Γ(D^+\to π^+π^0)/Γ(D^+\to\bar{K}^0 π^+)=3.29\pm 1.16$ and $R_2=|V_{cs}^*V_{ud}/(V_{cd}^*V_{us})|^2Γ(D^0\to K^+π^-)/Γ(D^0\to K^-π^+)=2.92\pm 1.34\,$. Both are about three times of those expected from SU(3) symmetry. We show that, in the large-$N_c$ factorization approach, such large SU(3) violations can be accounted for by the accumulations of several small SU(3)-breaking effects. An important requirement is the relative magnitude of the form factors, $f_+^{Dπ}(0)>f_+^{DK}(0)$.