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We present a general formalism that uses the point form of relativistic Hamiltonian dynamics to describe the electroweak structure of heavy-light mesons within constituent quark models. We study the heavy quark limit (i.e. $m_Q\to \infty$)…

High Energy Physics - Phenomenology · Physics 2012-06-25 María Gómez-Rocha , Wolfgang Schweiger

We reconsider the recent derivation by de Rafael and Taron of bounds on the slope of the Isgur-Wise function. We argue that one must be careful to include cuts starting below the heavy meson pair production threshold, arising from heavy…

High Energy Physics - Phenomenology · Physics 2010-11-01 Adam F. Falk , Michael Luke , Mark B. Wise

There exist relativistic quark models (potential or MIT-bag) which satisfy the heavy quark symmetry (HQS) relations among meson decay constants and form factors. Covariant construction of the momentum eigenstates, developed here, can…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Tadić , S. Žganec

The modification of the naive potential model of the heavy meson is considered on the basis of the single-time prescription for the quark-meson form factor and the covariant choice of the quatk relative momentum. The application of the…

High Energy Physics - Phenomenology · Physics 2010-11-01 V. V. Kiselev

We study the transitions ${\Lambda_b \to \Lambda_c\left({1 \over 2}^\pm \right)}$ in the Bakamjian-Thomas (BT) relativistic quark model formalism, which describes hadrons with a fixed number of constituents. In the heavy quark limit, the BT…

High Energy Physics - Phenomenology · Physics 2025-03-03 V. Morénas , A. Le Yaouanc , L. Oliver

Within the framework of a nonrelativistic quark model we evaluate the six form factors associated to the \Lambda_b^0 \to \Lambda_c^+ l^- \bar{\nu}_l semileptonic decay. The baryon wave functions were evaluated using a variational approach…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. Albertus , E. Hernandez , J. Nieves

We construct a leading-order effective field theory for both scalar and axial-vector heavy diquarks, and consider its power expansion in the heavy diquark limit. By assuming the transition from QCD to diquark effective theory, we derive the…

High Energy Physics - Phenomenology · Physics 2020-05-15 Yu-Ji Shi , Wei Wang , Zhen-Xing Zhao , Ulf-G. Meißner

The leading Isgur-Wise form factor $\xi(y)$ parametrizing the semileptonic transitions $\Lambda_b\to\Lambda^{1/2}_{c1}\ell\bar\nu$ and $\Lambda_b\to\Lambda^{3/2}_{c1}\ell\bar\nu$ is calculated by using the QCD sum rules in the framework of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ming-Qiu Huang , Jong-Phil Lee , Chun Liu , H. S. Song

The slope and curvature of Isgur Wise function for $B_{c}$ meson is computed in a QCD potential model in two different approaches of choosing the perturbative term of the Cornell potential. Based on heavy quark effective theory the…

High Energy Physics - Phenomenology · Physics 2022-12-06 Krishna Kingkar Pathak , D K Choudhury

We consider the Isgur-Wise function xi(omega) within a new modified version of a heavy-light chiral quark model. While early versions of such models gave too small absolute value of the slope, namely xi'(1) of about -0.4 to -0.3, we show…

High Energy Physics - Phenomenology · Physics 2010-05-12 Jan O. Eeg , Kresimir Kumericki

We show how both the spectroscopy of heavy-light hadrons and the slope of the Isgur-Wise function can be simultaneously fitted when Heavy Quark Effective Theory is matched onto dynamical quark models, including careful treatment of wigner…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. E. Close , A. Wambach

Various properties of heavy-light mesons are determined, including decay constants, the $B_{B}$-parameter, and the Isgur-Wise function. The heavy (bottom) quark is simulated with the static, NRQCD and/or (fixed-velocity) lattice-HQET…

High Energy Physics - Lattice · Physics 2008-11-26 Terrence Draper , Craig McNeile

In the heavy quark limit of QCD, using the Operator Product Expansion, the formalism of Falk for hadrons or arbitrary spin, and the non-forward amplitude, as proposed by Uraltsev, we formulate sum rules involving the Isgur-Wise function…

High Energy Physics - Phenomenology · Physics 2009-02-26 A. Le Yaouanc , L. Oliver , J. -C. Raynal

In this paper we investigate weak decays of heavy mesons in the framework of a covariant quark model, which is based on the Bethe-Salpeter equation in instantaneous approximation. Apart from a phenomenological confinement potential, a…

High Energy Physics - Phenomenology · Physics 2011-07-19 Dirk Merten , Ralf Ricken , Matthias Koll , Bernard Metsch , Herbert Petry

A simple relativistic model of heavy-quark-light-quark mesons is proposed. In an expansion in inverse powers of the heavy quark mass we find that all zeroth and first order heavy quark symmetry relations are satisfied. The main results are:…

High Energy Physics - Phenomenology · Physics 2009-10-22 B. Holdom , M. Sutherland

In the heavy quark limit, the heavy baryon $\Lambda_Q$ (Q=b or c) can be regarded as composed of a heavy quark and a scalar light diquark which has good spin and flavor quantum numbers. Based on this picture we establish the Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2016-09-06 X. -H. Guo , T. Muta

We complete the QCD sum rule analysis of the Isgur Wise form factor $\xi(v\cdot v')$ at next-to-leading order in renormalization-group improved perturbation theory. To this end, the exact result for the two-loop corrections to the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Matthias Neubert

We present an investigation of the Isgur-Wise form factor relevant for the semileptonic decay Lambda_b -> \Lambda_c + l nu_l performed within a light-front constituent quark model. Adopting different baryon wave functions it is found that…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Cardarelli , S. Simula

The six independent formfactors describing the weak decay \semi\ are determined in terms of one universal function when both the $b$ and $c$ quarks are treated as heavy. The relations between these formfactors are modified by terms…

High Energy Physics - Phenomenology · Physics 2011-07-19 Martin J. Savage

Using methods developed for hard exclusive QCD processes, we calculate the asymptotic behaviour of heavy-meson form factors at large recoil. It is determined by the leading- and subleading-twist meson wave functions. For $1\ll |v\cdot…

High Energy Physics - Phenomenology · Physics 2009-10-28 Andrey G. Grozin , Matthias Neubert