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  • 1990-1994  (2)
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  • 1
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We compare plane-wave, coordinate-space and moment methods for evaluating operator-product expansion (OPE) coefficients of the light-quark and gluon condensates. Equivalence of these methods for quark condensate contributions is proven to all orders in the quark mass parameterm. The three methods are also shown to yield equivalent gluon condensate contributions to two-current correlation functions, regardless of the gauge chosen for external gluon fields in the coordinate space approach. An improved method for evaluating quarkcondensate OPE coefficients is presented for several (two-current) correlation functions. Gauge-dependent Green functions are also discussed. It is shown that contradictory expressions for the gluon-condensate contribution to the quark propagator occurring from the plane-wave and coordinate-space approaches yield identical relations between the heavy-quark and gluon condensates, as anticipated from the gauge invariance of the heavy-quark expansion.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 64 (1994), S. 57-71 
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract By combining potential models and QCD spectral sum rules (QSSR), we discuss the spectroscopy of the $$(b\bar c)$$ mesons and of the (bcq), (ccq) and (bbq) baryons (q≡d ors), the decay constant and the (semi)leptonic decay modes of theB c meson. For the masses, the best predictions come from potential models and read: $$M_{B_c } = (6255 \pm 20)$$ MeV, $$M_{B_c^* } = (6330 \pm 20)$$ MeV,M Λ(bcu) =(6.93±0.05) GeV,M Ω(bcs) =(7.00±0.05) GeV,M Σ*(ccu) =(3.63±0.05) GeV andM Σ*(bbu) =(10.21±0.05) GeV. The decay constant $$f_{B_c } = (2.94 \pm 0.21)f_\pi $$ is well determined from QSSR and leads to:Γ(B c →v ττ=(3.0±0.4)(V cb /0.037)2×1010 s−1. The uses of the vertex sum rules for the semileptonic decays of theB c show that thet-dependence of the form factors is much stronger than predicted by vector meson dominance. It also predicts the almost equal strength of about 0.30×1010 s−1 for the semileptonic ratesB c intoB s ,B s * ,η c andJ/ψ. Besides these phenomenological results, we also show explicitly how the Wilson coefficients of the 〈α s G 2〉 and 〈G 3〉 gluon condensates already contain the full heavy quark $$(\left\langle {\bar QQ} \right\rangle )$$ and mixed- $$(\left\langle {\bar QGQ} \right\rangle )$$ condensate contributions in the OPE.
    Type of Medium: Electronic Resource
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