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.

arXiv comment16 pages, a few comments added, version to appear in EPJ C

References in corpus (17)

• Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model
• Theory of B -> K(*)l+l- decays at high q^2: OPE and quark-hadron duality
• Observation of new resonances decaying to $D\pi$ and $D^{\ast }\pi$ in inclusive $e^{+}{e}^{-}$ collisions near $\sqrt{s}=$10.58 GeV
• Observation of a new D_sJ meson in B+->D0BD0K+ decays
• D Pi scattering and D meson resonances from lattice QCD
• Decay constants of heavy-light vector mesons from QCD sum rules
• Modeling the Pion and Kaon Form Factors in the Timelike Region
• Excited spectroscopy of charmed mesons from lattice QCD
• Heavy flavor decays, OPE and duality in two-Dimensional 't Hooft model
• Matching Regge Theory to the OPE
• Penguins with Charm and Quark-Hadron Duality
• Higher excitations of the $D$ and $D_s$ mesons
• A proposal to solve some puzzles in semileptonic B decays
• QCD sum rules and radial excitaions of light pseudoscalar and scalar mesons
• On the significance of B-decays to radially excited D
• Spectral moments of two-point correlators in perturbation theory and beyond
• B decays into radially excited charmed mesons

Cited by in corpus (17)

• A review of the open charm and open bottom systems
• Excited bottom and bottom-strange mesons in the quark model
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Direct probes of flavor-changing neutral currents in $e^{+}{e}^{-}$ collisions
• Mass spectra and decay properties of $D$ Meson in a relativistic Dirac formalism
• Precise measurements of the properties of the B_1(5721)^(0,+) and B_2*(5747)^(0,+) states and observation of B^(+,0) pi^(-,+) mass structures
• The mass and residues of radially and orbitally excited doubly heavy baryons in QCD
• Radial Excitations of the Decuplet Baryons
• $B\to D_1(2420)$ and $B\to D_1^{\prime }(2430)$ form factors from QCD light-cone sum rules
• Placing the newly observed state $B_J(5840)$ in bottom spectra along with states $B_1(5721)$, $B_2^{\ast }(5747)$, $B_{s1}(5830)$, $B_{2s}^{\ast }(5840)$ and $B_J(5970)$
• Status of rare exclusive $B$ meson decays in 2018
• $B\to D_0^{\ast }$ and $B_s\to D_{s0}^{\ast }$ form factors from QCD light-cone sum rules
• Radial excitations of mesons and nucleons from QCD sum rules
• 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