Combined B->X_sψand B-> X_sη_c decays as a test of factorization

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, latex, no figures

Scientific paper

10.1007/s100520050077

We calculate the inclusive decays $B\to X_s\psi$ and $B\to X_s\eta_c$ using factorization assumption. To investigate the bound state effect of the decaying B meson in these inclusive decays we take into account the motion of the $b$ quark using a Gaussian momentum distribution model. The resulting correction to free quark decay approximation is around 6% at most. Utilizing a potential model evaluation of the ratio of the decay constants $f^2_{\eta_c}/f^2_\psi$, it is shown that the ratio $R=\Gamma (B\to X_s\eta_c )/\Gamma (B\to X_s\psi )$ can be used as a possible test of factorization assumption.

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