Nonfactorizable soft contributions in the $B\longrightarrow \eta_c K,\chi_{c0} K$ decays with the light-cone sum rules approach

Abstract

In this article, we calculate the nonfactorizable soft contributions in the $B \to \eta_c K, \chi_{c0} K$ decays with the light cone QCD sum rules approach. Our results show that the nonfactorizable corrections from the soft gluon exchanges in the decay $B \to \eta_c K$ are of $(15-30)%$ and should not be neglected. As for the decay $B \to \chi_{c0} K$, the factorizable contributions are zero and the nonfactorizable contributions from the soft hadronic matrix elements are too small to accommodate the experimental data.