Remarks on sum rules in the heavy quark limit of QCD

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dc.creatorYaouanc, A. Le
dc.creatorOliver, L.
dc.creatorPene, O.
dc.creatorRaynal, J. -C.
dc.creatorMorenas, V.
dc.date2001-10-29
dc.date.accessioned2026-07-07T03:45:39Z
dc.date.available2026-07-07T03:45:39Z
dc.descriptionWe underline a problem existing in the heavy quark limit of QCD concerning the rates of semileptonic B decays into P-wave $D_J(j)$ mesons, where $j = {1 \over 2}$ (wide states) or $j = {3 \over 2}$ (narrow states). The leading order sum rules of Bjorken and Uraltsev suggest $Γ[ \bar{B} \to D_{0,1} ({1 \over 2}) \ell ν] \ll Γ[ \bar{B} \to D_{1,2} ({3 \over 2}) \ell ν]$, in contradiction with experiment. The same trend follows also from a sum rule for the subleading $1/m_Q$ curent matrix element correction $ξ_3(1)$. The problem is made explicit in relativistic quarks models à la Bakamjian and Thomas, that give a transparent physical interpretation of the latter as due, not to a $L \cdot S$ force, but to the Wigner rotation of the light quark spin. We point out moreover that the selection rule for decay constants of $j = {3 \over 2}$ states, $f_{3/2} = 0$, predicts, assuming the model of factorization, the opposite hierarchy $Γ[ \bar{B} \to \bar{D}_{s_{1,2}} ({3 \over 2}) D^{(*)} ] \ll Γ[ \bar{B} \to \bar{D}_{s_{0,1}} ({1 \over 2}) D^{(*)} ]$.
dc.descriptionContribution to the International Europhysics Conference on HEP, Budapest, July 2001 (presented by L. Oliver); 5 pages
dc.identifierhttps://arxiv.org/abs/hep-ph/0110372
dc.identifierhttp://arxiv.org/abs/hep-ph/0110372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/41003
dc.subjectHigh Energy Physics - Phenomenology
dc.titleRemarks on sum rules in the heavy quark limit of QCD
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