Radial excitations of heavy-light mesons from QCD sum rules

Abstract

QCD sum rules are commonly used to predict the characteristics of ground-state hadrons. We demonstrate that two-point sum rules for the decay constants of charmed ($D^{(\ast )},D_s^{(\ast )}$) and bottom ($B^{(\ast )},B_s^{(\ast )}$) mesons can also be modified to estimate the decay constants of the first radial excitations, $D^{(\ast {)}^{\prime }},D_s^{(\ast {)}^{\prime }}$ and $B^{(\ast {)}^{\prime }},B_s^{(\ast {)}^{\prime }}$, respectively, provided the masses of these resonances are used as an input. For the radially excited charmed mesons we use available experimental data, whereas the masses of analogous bottom mesons are estimated from the heavy-quark limit. The decay constants predicted for the radial excitations of heavy-light pseudoscalar and vector mesons are systematically smaller than those of the ground states and we comment on the possible origin of this difference. Our results can be used in the sum rule calculations of heavy-to-light form factors and in the factorization approximations for nonleptonic $B$-meson decays where the decay constants of charmed mesons enter as input parameters.

16 pages, a few comments added, version to appear in EPJ C

References in corpus (2)

• Observation of new resonances decaying to $D\pi$ and $D^{\ast }\pi$ in inclusive $e^{+}{e}^{-}$ collisions near $\sqrt{s}=$10.58 GeV
• Penguins with Charm and Quark-Hadron Duality

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• Determination of the spectroscopic parameters of beauty-partners of $T_{cc}$ from QCD
• Spectroscopy of excited quarkonium states in the light-front quark model
• Probing the inverse moment of $B_s$-meson distribution amplitude via $B_s\to {\eta }_s$ form factors
• Strong and electromagnetic decays of the radially excited $D_s$ and $B_s$ mesons in light cone QCD sum rules