The Experts below are selected from a list of 207 Experts worldwide ranked by ideXlab platform
Wuk Namgung - One of the best experts on this subject based on the ideXlab platform.
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Average Kinetic Energy of heavy quark and virial theorem
Physics Letters B, 1997Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract:Abstract We derive the virial theorem of the relativistic two-body system for the study of 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 μπ2 ≡ −λ1 ≡ 〈p2〉 = 0.40 ∼ 0.58 GeV2, which is consistent with the result of the QCD sum rule calculations of Ball et al.
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Average Kinetic Energy of Heavy Quark and Virial Theorem
Physics Letters B, 1997Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract: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 $\mu_\pi^2 \equiv -\lambda_1 \equiv = 0.40\sim 0.58$ GeV$^2$, which is consistent with the result of the QCD sum rule calculations of Ball $et$ $al.$
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Average Kinetic Energy of a heavy quark in semileptonic b decay
Physical Review D, 1996Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract:Within the ACCMM model the Average Kinetic Energy of the heavy quark in a heavy-light meson is calculated as $〈{\mathrm{p}}^{2}〉=\frac{3}{2}{p}_{F}^{2}$ solely from the fact that the Gaussian momentum probability distribution has been taken in the ACCMM model. Therefore, the Fermi momentum parameter ${p}_{F}$ of the ACCMM model is not a truly free parameter, but is closely related to the Average Kinetic Energy of the heavy quark, which is theoretically calculable in principle. In this context, we determine ${p}_{F}$ by comparing the theoretical prediction of the ACCMM model with the model-independent lepton Energy spectrum of $B\ensuremath{\rightarrow}e\ensuremath{\nu}X$ from the recent CLEO analysis, and find that ${p}_{F}=0.54\ifmmode\pm\else\textpm\fi{}{0.16}{0.15}$ GeV. We also calculate ${p}_{F}$ in the relativistic quark model by applying the quantum mechanical variational method, and obtain ${p}_{F}=0.5\ensuremath{-}0.6$ GeV. We show the correspondences between the relativistic quark model and the heavy quark effective theory. We then clarify the importance of the value of ${p}_{F}$ in the determination of $|\frac{{V}_{\mathrm{ub}}}{{V}_{\mathrm{cb}}}|$,
C. S. Kim - One of the best experts on this subject based on the ideXlab platform.
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Average Kinetic Energy of heavy quark μπ2 inside heavy meson in 0 state by bethe salpeter method
Physics Letters B, 2004Co-Authors: C. S. Kim, Guo Li WangAbstract:Abstract The Average Kinetic Energy of the heavy quark inside B or D meson is computed by means of the instantaneous Bethe–Salpeter method. We first solve the relativistic Salpeter equation and obtain the relativistic wave function and mass of 0− state, then we use the relativistic wave function to calculate the Average Kinetic Energy of the heavy quark inside heavy meson of 0− state. We find that the relativistic corrections to the Average Kinetic Energy of the heavy quark inside B or D meson are quite large and cannot be ignored. We estimate μ2π(=−λ1)≈0.24(B0,B±), 0.20(D0,D±), 0.33(Bs), 0.26(Ds), 0.83(Bc) and 0.62(ηc) GeV2.
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Average Kinetic Energy of heavy quark and virial theorem
Physics Letters B, 1997Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract:Abstract We derive the virial theorem of the relativistic two-body system for the study of 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 μπ2 ≡ −λ1 ≡ 〈p2〉 = 0.40 ∼ 0.58 GeV2, which is consistent with the result of the QCD sum rule calculations of Ball et al.
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Average Kinetic Energy of Heavy Quark and Virial Theorem
Physics Letters B, 1997Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract: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 $\mu_\pi^2 \equiv -\lambda_1 \equiv = 0.40\sim 0.58$ GeV$^2$, which is consistent with the result of the QCD sum rule calculations of Ball $et$ $al.$
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Average Kinetic Energy of a heavy quark in semileptonic b decay
Physical Review D, 1996Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract:Within the ACCMM model the Average Kinetic Energy of the heavy quark in a heavy-light meson is calculated as $〈{\mathrm{p}}^{2}〉=\frac{3}{2}{p}_{F}^{2}$ solely from the fact that the Gaussian momentum probability distribution has been taken in the ACCMM model. Therefore, the Fermi momentum parameter ${p}_{F}$ of the ACCMM model is not a truly free parameter, but is closely related to the Average Kinetic Energy of the heavy quark, which is theoretically calculable in principle. In this context, we determine ${p}_{F}$ by comparing the theoretical prediction of the ACCMM model with the model-independent lepton Energy spectrum of $B\ensuremath{\rightarrow}e\ensuremath{\nu}X$ from the recent CLEO analysis, and find that ${p}_{F}=0.54\ifmmode\pm\else\textpm\fi{}{0.16}{0.15}$ GeV. We also calculate ${p}_{F}$ in the relativistic quark model by applying the quantum mechanical variational method, and obtain ${p}_{F}=0.5\ensuremath{-}0.6$ GeV. We show the correspondences between the relativistic quark model and the heavy quark effective theory. We then clarify the importance of the value of ${p}_{F}$ in the determination of $|\frac{{V}_{\mathrm{ub}}}{{V}_{\mathrm{cb}}}|$,
Dae Sung Hwang - One of the best experts on this subject based on the ideXlab platform.
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Average Kinetic Energy of heavy quark and virial theorem
Physics Letters B, 1997Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract:Abstract We derive the virial theorem of the relativistic two-body system for the study of 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 μπ2 ≡ −λ1 ≡ 〈p2〉 = 0.40 ∼ 0.58 GeV2, which is consistent with the result of the QCD sum rule calculations of Ball et al.
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Average Kinetic Energy of Heavy Quark and Virial Theorem
Physics Letters B, 1997Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract: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 $\mu_\pi^2 \equiv -\lambda_1 \equiv = 0.40\sim 0.58$ GeV$^2$, which is consistent with the result of the QCD sum rule calculations of Ball $et$ $al.$
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Average Kinetic Energy of a heavy quark in semileptonic b decay
Physical Review D, 1996Co-Authors: Dae Sung Hwang, C. S. Kim, Wuk NamgungAbstract:Within the ACCMM model the Average Kinetic Energy of the heavy quark in a heavy-light meson is calculated as $〈{\mathrm{p}}^{2}〉=\frac{3}{2}{p}_{F}^{2}$ solely from the fact that the Gaussian momentum probability distribution has been taken in the ACCMM model. Therefore, the Fermi momentum parameter ${p}_{F}$ of the ACCMM model is not a truly free parameter, but is closely related to the Average Kinetic Energy of the heavy quark, which is theoretically calculable in principle. In this context, we determine ${p}_{F}$ by comparing the theoretical prediction of the ACCMM model with the model-independent lepton Energy spectrum of $B\ensuremath{\rightarrow}e\ensuremath{\nu}X$ from the recent CLEO analysis, and find that ${p}_{F}=0.54\ifmmode\pm\else\textpm\fi{}{0.16}{0.15}$ GeV. We also calculate ${p}_{F}$ in the relativistic quark model by applying the quantum mechanical variational method, and obtain ${p}_{F}=0.5\ensuremath{-}0.6$ GeV. We show the correspondences between the relativistic quark model and the heavy quark effective theory. We then clarify the importance of the value of ${p}_{F}$ in the determination of $|\frac{{V}_{\mathrm{ub}}}{{V}_{\mathrm{cb}}}|$,
Amitabh Bhattacharya - One of the best experts on this subject based on the ideXlab platform.
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numerical simulation of vortex induced vibration with bistable springs consistency with the equilibrium constraint
Journal of Fluids and Structures, 2021Co-Authors: Rameez Badhurshah, Rajneesh Bhardwaj, Amitabh BhattacharyaAbstract:Abstract We present results from two-dimensional numerical simulations based on Immersed Boundary Method (IBM) of a cylinder in uniform fluid flow attached to bistable springs undergoing Vortex-Induced Vibrations (VIV). The elastic spring potential for the bistable springs, consisting of two potential wells, is completely defined by the spacing between the potential minima and the depth of the potential wells. We perform simulations of VIV with linear spring, as well as bistable springs with two different inter-well separations, over a wide range of reduced velocity. As expected, large oscillation amplitudes correspond to lock-in of the lift force with the natural frequency of the spring–mass system. The range of reduced velocity over which lock-in occurs is significantly higher for VIV with bistable springs compared to VIV with linear springs, although the maximum possible amplitude appears to be independent of the spring type. For VIV with bistable springs, the cylinder undergoes double-well oscillations in the lock-in regime. Range of reduced velocity over which lock-in occurs increases when the inter-well distance is reduced. The vortex shedding patterns and amplitude trends look similar at the same equivalent reduced velocity for the different springs. The results here are consistent with our prior theory, in which we propose a new “Equilibrium-Constraint (EC)” based on Average Kinetic Energy budget of the structure. For a given spring potential, the intersection of natural frequency curves with the EC curve yields the possible range of reduced velocities over which lock-in should occur. Our numerical simulations show a collapse of the amplitude-versus-structure frequency data for all the simulations onto roughly the same curve, thus supporting the existence of the EC, and providing an explanation for the trends in the VIV oscillations. The present study provides fundamental insights into VIV characteristics of bistable springs, which may be useful for designing broadband Energy harvesters.
Xinheng Guo - One of the best experts on this subject based on the ideXlab platform.
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the Average Kinetic Energy of the heavy quark in λb in the bethe salpeter equation approach
Physics Letters B, 2007Co-Authors: Xinheng GuoAbstract:Abstract In the previous paper, based on the SU ( 2 ) f × SU ( 2 ) s heavy quark symmetries of the QCD Lagrangian in the heavy quark limit, the Bethe–Salpeter equation for the heavy baryon Λ b was established with the picture that Λ b is composed of a heavy quark and a scalar light diquark. In the present work, we apply this model to calculate μ π 2 for Λ b , the Average Kinetic Energy of the heavy quark inside Λ b . This quantity is particularly interesting since it can be measured in experiments and since it contributes to the inclusive semileptonic decays of Λ b when contributions from higher order terms in 1 / M b expansions are taken into account and consequently influences the determination of the Cabibbo–Kobayashi–Maskawa matrix elements V u b and V c b . We find that μ π 2 for Λ b is 0.25 GeV 2 ∼ 0.95 GeV 2 , depending on the parameters in the model including the light diquark mass and the interaction strength between the heavy quark and the light diquark in the kernel of the BS equation. We also find that this result is consistent with the value of μ π 2 for Λ b which is derived from the experimental value of μ π 2 for the B meson with the aid of the heavy quark effective theory.
