Average Kinetic Energy of Heavy Quark and Virial Theorem

Abstract

We derive the virial theorem of the relativistic two-body system for the study of the B-meson physics. It is also shown that the solution of the variational equation always satisfies the virial theorem. From the virial theorem we also obtained ${\mu }_{\pi }^2\equiv -{\lambda }_1\equiv <p^2>=0.40\sim 0.58$ GeV${}^2$, which is consistent with the result of the QCD sum rule calculations of Ball $et$ $al.$

13 pages. A lot of parts of the manuscript have been revised. To appear in Physics Letters B

References in corpus (4)

• Implications of the $B\to X\ell {\bar{\nu }}_{\ell }$ lepton spectrum for heavy quark physics
• Perturbative corrections to zero recoil inclusive $B$ decay sum rules
• Average Kinetic Energy of Heavy Quark in Semileptonic B Decay
• Heavy Quark Kinetic Energy in B Mesons by a QCD Relativistic Potential Model

Cited by in corpus (14)

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• Improved analysis for the baryon masses to order Lambda_{QCD}/m_Q from QCD sum rules
• String formation and chiral symmetry breaking in the heavy-light quark-antiquark system in QCD
• The relativistic virial theorem and scale invariance
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Motion of b-quark inside B meson: the Parton Model vs. the ACCMM Model
• Heavy-quark binding and kinetic energies in heavy-light mesons and the constituent quark model
• Determination of HQET parameter λ_1 from Inclusive Semileptonic B Meson Decay Spectrum
• A New Model-independent Method of Determining |V_{ub}/V_{cb}|
• Hadronic Invariant Mass Spectrum in B -> X_u l nu Decay with Lepton Energy Cut
• Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons