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Using the OPE, we formulate new sum rules in the heavy quark limit of QCD. These sum rules imply that the elastic Isgur-Wise function $\xi (w)$ is an alternate series in powers of $(w-1)$. Moreover, one gets that the $n$-th derivative of…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Jugeau , A. Le Yaouanc , L. Oliver , J. -C. Raynal

We underline the general features of the constituent quark model and its success in the description of the spectrum and transitions of hadrons made up of light or heavy quarks, briefly compared to first principles of QCD. To show the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

We discuss a few, apparently different (but actually, tightly related) problems: 1. The relation between QCD and valence quark model, 2. The evaluation of the nonlocal condensate $ \la \bar{q}(x)q(0)\ra $, its relation to heavy-light…

High Energy Physics - Phenomenology · Physics 2010-11-01 Ariel R. Zhitnitsky

The variational approach to QCD in Coulomb gauge developed previously by the T\"ubingen group is improved by enlarging the space of quark trial vacuum wave functionals through a new Dirac structure in the quark-gluon coupling. Our ansatz…

High Energy Physics - Phenomenology · Physics 2016-03-09 P. Vastag , H. Reinhardt , D. Campagnari

The Lambda_b to Lambda_c semileptonic decay is analyzed in the framework of heavy quark effective theory to the order of 1/m_c and 1/m_b. The QCD sum rule and large N_c predictions to the decay form factors are applied. It argues that the…

High Energy Physics - Phenomenology · Physics 2011-01-27 Jong-Phil Lee , Chun Liu , H. S. Song

In this paper we compute, within in the context of a relativistic quark model, the Isgur-Wise functions for exclusive semileptonic $\bar B \to X_c$ decays, where $X_c$ is any charmed mesons with total spin $J=0,1,2$ or one of their first…

High Energy Physics - Phenomenology · Physics 2007-05-23 Massimo Di Pierro , Adam K. Leibovich

In connection with planned experiments devoted to investigation of semileptonic decays of beauty baryons Isgur-Wise function and observables of $\Lambda_b$ baryon (decay rates and distributions, leptonic spectra and asymmetry parameters)…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. A. Ivanov , V. E. Lyubovitskij

Determination of the wave-function is very essential in the calculation of static and dynamic properties like masses,decay constants of pseudo-scalar mesons and masses of vector mesons.We use Dalgarno's perturbation theory and…

High Energy Physics - Phenomenology · Physics 2019-02-07 Jugal Lahkar , D K Choudhury , B J Hazarika

Exclusive semileptonic B decays to radially excited charmed mesons are investigated at the first order of the heavy quark expansion. The arising leading and subleading Isgur-Wise functions are calculated in the framework of the relativistic…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Ebert , R. N. Faustov , V. O. Galkin

The effective theory based on combined chiral and heavy quark symmetry, the heavy meson chiral perturbation theory, is applied to studying the role of resonances in various processes of heavy mesons within and beyond the Standard Model.…

High Energy Physics - Phenomenology · Physics 2007-11-06 Jernej F. Kamenik

We consider a combination of linear confining and Hulth\'en potentials in the Hamiltonian and via the perturbation approach, report the corresponding Isgure-Wise function parameters. Next, we investigate the Isgur-Wise Function for…

High Energy Physics - Phenomenology · Physics 2014-11-11 H. Hassanabadi , S. Rahmani , S. Zarrinkamar

We propose a group theoretical method to study Isgur-Wise functions. A current matrix element splits into a heavy quark matrix element and an overlap of the initial and final clouds, related to the IW functions, that contain the long…

High Energy Physics - Phenomenology · Physics 2009-09-24 A. Le Yaouanc , L. Oliver , J. -C. Raynal

Within the light-front framework, form factors for $P\to P$ and $P\to V$ transitions ($P$: pseudoscalar meson, $V$: vector meson) due to the valence-quark configuration are calculated directly in the entire physical range of momentum…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hai-Yang Cheng , Chi-Yee Cheung , Chien-Wen Hwang

Meson transition amplitudes of the vector, axial-vector, and tensor quark currents are analyzed within dispersion formulation of the constituent quark model. The form factors in the decay region are given by relativistic double spectral…

High Energy Physics - Phenomenology · Physics 2009-10-30 Dmitri Melikhov

We apply the quadrature-based perturbation method of Dalgarno and Lewis to the evaluation of the nonlinear optical response of quantum systems. This general operator method for perturbation theory allows us to derive exact expressions for…

Optics · Physics 2016-11-03 Sean Mossman , Rick Lytel , Mark G. Kuzyk

Using the OPE and the trace formalism, we have obtained a number of sum rules in the heavy quark limit of QCD that include the sum over all excited states for any value $j^P$ of the light cloud. We show that these sum rules imply that the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Le Yaouanc , L. Oliver , J. -C. Raynal

The Dalgarno's method of perturbation is used to solve the Schrodinger's equation with the Cornell potential $V(r)=-\frac{4\alpha_s}{3r}+br+c$. The short range and long range effect of the potential is incorporated in the same wave function…

High Energy Physics - Phenomenology · Physics 2016-06-01 Tapashi Das , D. K. Choudhury , K. K. Pathak

We have studied the weak decay constants and the Isgur-Wise form factor of the B and D mesons in the heavy quark limit, by employing a relativistic quark confinement model. It is an attempt to improve our previous work within the same line…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. A. Ivanov , T. Mizutani

The wave function of a light pseudoscalar meson is considered and nonperturbative corrections as signaled by perturbation theory are calculated. Two schemes are used, the massive gluon and the running coupling scheme. Both indicate the…

High Energy Physics - Phenomenology · Physics 2016-08-25 R. Akhoury , A. Sinkovics , M. G. Sotiropoulos

Form factors for pseudoscalar --> pseudoscalar decays of heavy-light mesons are found in quenched lattice QCD with heavy-quark masses in the range of approximately 1-2 GeV. The Isgur-Wise function, $\xi(\omega)$, is extracted from these…

High Energy Physics - Lattice · Physics 2010-11-01 UKQCD Collaboration , James N. Simone
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