The European Physical Journal C
ISSN: 1434-6044 (printed version) ISSN: 1434-6052 (electronic version) Table of Contents
Abstract Volume 1 Issue 1/2 (1998) pp 243-246
theoretical physics:
Combined $B\to X_s\psi$ and $B\to X_s\eta_c$ decays as a test of factorization
Mohammad R. Ahmady (a), Emi Kou
Department of Physics, Ochanomizu University, 1-1 Otsuka 2, Bunkyo-ku,Tokyo 112, Japan (e-mail: ahmady@phys.ocha.ac.jp, kou@fs.cc.ocha.ac.jp)
Received: 22 January 1997
Abstract.
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.
(a) JSPS Fellow Present address: LINAC Laboratory, The Institute of Physical and Chemical Research (RIKEN), Wako, Saitama 351-01, Japan (e-mail: ahmady@riken.go.jp)
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Online publication: December 11, 1997
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