Heavy Meson Hyperfine Splitting: A Complete $1/m_Q$ Calculation

Abstract

The hyperfine splittings ${\Delta }_D=(m_{D_s^{\ast }}-m_{D_s})-(m_{D^{\ast +}}-m_{D^{+}})$ and ${\Delta }_B=(m_{B_s^{\ast }}-m_{B_s})-(m_{B^{\ast 0}}-m_{B^0})$ are analyzed in the framework of an effective lagrangian possessing chiral, heavy flavour and spin symmetries, explicitly broken by a complete set of first order terms. Among these terms, those responsible for the difference between the couplings $\gis$ and $\gi$ are evaluated in the QCD sum rules approach. Their contribution to ${\Delta }_D$ and to ${\Delta }_B$ appears to quantitatively balance previously estimated chiral effects nice agreement with the experimental data, solving a suspected puzzle for heavy quark theory.

11 pages, LaTeX, no figures

References in corpus (7)

• Effective Lagrangian for Heavy and Light Mesons: Semileptonic Decays
• Chiral perturbation theory for hadrons containing a heavy quark: the sequel
• On the coupling of heavy mesons to pions in QCD
• Heavy Meson Masses in Chiral Perturbation Theory with Heavy Quark Symmetry
• Corrections to Chiral Dynamics of Heavy Hadrons: (I) 1/M Correction
• Finite Mass Corrections to Leptonic Decay Constants in the Heavy Quark Effective Theory
• Heavy Meson Hyperfine Splittings: A Puzzle for Heavy Quark Chiral Perturbation Theory

Cited by in corpus (12)

• Phenomenology of Heavy Meson Chiral Lagrangians
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Strong coupling of excited heavy mesons
• Even- and Odd-Parity Charmed Meson Masses in Heavy Hadron Chiral Perturbation Theory
• Heavy Quark Physics and Lattice QCD
• Couplings of pions with heavy baryons from light-cone QCD sum rules in the leading order of HQET
• Systematic Study on QCD Interactions of Heavy Mesons with $\rho$ Meson
• SU(3) breaking corrections to the $D$, $D^{\ast }$, $B$, and $B^{\ast }$ decay constants
• Non-Leptonic Decays of B Mesons and Strong Coupling Constants
• Theoretical Update on Two Non-Resonant Three-Body Channels in Charmed Meson Decays
• Spectroscopy of excited charmed mesons
• Quark mass dependence of the low-lying charmed mesons at one loop in HH$\chi$PT