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A Consistent Calculation of Heavy Meson Decay Constants and Transition Wave Functions in the Complete HQEFT | | W.Y. Wang
; Y.L. Wu
; | | Date: |
21 Jun 2000 | | Journal: | Int.J.Mod.Phys. A16 (2001) 377-408 | | Subject: | hep-ph | | Affiliation: | ITP | | Abstract: | Within the complete heavy quark effective field theory (HQEFT), the QCD sum rule approach is used to evaluate the decay constants including 1/m_Q corrections and the Isgur-Wise function and other additional important wave functions concerned at 1/m_Q for the heavy-light mesons. The 1/m_Q corrections to the scaling law f_M sim F/sqrt{m_M} are found to be small in HQEFT, which demonstrates again the validity of 1/m_Q expansion in HQEFT. It is also shown that the residual momentum v.k of heavy quark within hadrons does be around the binding energy ar{Lambda} of the heavy hadrons. The calculations presented in this paper provide a consistent check on the HQEFT and shows that the HQEFT is more reliable than the usual HQET for describing a slightly off-mass shell heavy quark within hadron as the usual HQET seems to lead to the breakdown of 1/m_Q expansion in evaluating the meson decay constants. It is emphasized that the introduction of the `dressed heavy quark’ mass is useful for the heavy-light mesons (Qq) with m_Q >> ar{Lambda} >> m_q, while for heavy-heavy bound states (psi_1psi_2) with masses m_1, m_2 >> ar{Lambda}, like bottom-charm hadrons or similarly for muonium in QED, one needs to treat both particles as heavy effective particles via 1/m_1 and 1/m_2 expansions and redefine the effective bound states and modified `dressed heavy quark’ masses within the HQEFT. | | Source: | arXiv, hep-ph/0006241 | | Services: | Forum | Review | PDF | Favorites | |
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