On the Role of Charm in Decay of B-mesons to η' K

Abstract

In this letter we focus on the calculation of $f_{{\eta }^{\prime }}^{(c)},$ the amplitude of the $(c\bar{c})\to (gluons)\to {\eta }^{{}^{\prime }}$ transition, which provides the magnitude of the contribution of the Cabbibo favored $b\to \bar{c}cs$ elementary process to $B\to {\eta }^{\prime }K$ decay. It is found that $f_{{\eta }^{\prime }}^{(c)}=-12.3\sim -18.4MeV$ on the scale of $m_c.$ This number is in strong contradiction with the estimations of Halperin, Zhitnitsky and Shuryak, Zhitnitsky but almost in agreement with phenomenological analysis of Feldman et al., Petrov and the estimations of Ali et al.

arXiv comment8 pages, RevTex, new references and PACS Codes added, minor corrections are made

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Cited by in corpus (5)

• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• Heavy quark mass expansion and intrinsic charm in light hadrons
• Charmless Hadronic Two-body Decays of the B_s Mesons
• Semi-inclusive B Decays and Direct CP Violation in QCD Factorization
• Instanton-induced charm contribution to polarized deep-inelastic scattering