B semileptonic decay and hydrogen-like mesons

Abstract

We discuss the exclusive semileptonic decay B to De nu which is based on a relativistic approach to hadronic systems consisting of a heavy quark and a light quark (hydrogen-like mesons). The corresponding weak form factor at zero momentum transfer is calculated and f+(0)=0.55 obtained. From this and experimental data from B to De nu we determine mod Vcb mod .

Smolyak Scheme for solving the Schrödinger equation: Application to Malonaldehyde in Full Dimensionality

“…Later on, we used this combination (with a crude implementation) to study the torsional motion of nitric acid in a 9D‐ab initio model [21] . Since then, several studies have been published by Avila and Carrington, [22–24] by the Matyus group [25,26] and by ourselves [27–29] …”

Permutationally invariant polynomial representation of polarizability tensor surfaces for linear regression analysis

“…Recent attention to the analytic representation of the static dipole polarizability, using various robust fitting methods, has revealed a rapidly growing field in the simulation of Raman spectra of molecules and liquids using ab initio quality potential energy (PES) and polarizability tensor (PTS) surfaces. To note, several computational studies of molecular PTSs employing methods ranging from many‐body expansions and (deep) neural networks (NN) to permutationally invariant polynomials (PIP) and others have been reported in the past few years 1–6 . Formal expression for a PTS may depend on the specific problem at hand, as for instance has been done for a number of diatomics 7–9 and simple polyatomics such as H 2 O and thus‐derived (H 2 O) m systems, 1–3,10 or may be generic in nature and constructed using translational‐rotational symmetry preserving matrix products of “transition dipole”‐like quantities, as has been originally demonstrated for larger polyatomics and liquid water systems 4,5 .…”

“…To note, several computational studies of molecular PTSs employing methods ranging from many‐body expansions and (deep) neural networks (NN) to permutationally invariant polynomials (PIP) and others have been reported in the past few years 1–6 . Formal expression for a PTS may depend on the specific problem at hand, as for instance has been done for a number of diatomics 7–9 and simple polyatomics such as H 2 O and thus‐derived (H 2 O) m systems, 1–3,10 or may be generic in nature and constructed using translational‐rotational symmetry preserving matrix products of “transition dipole”‐like quantities, as has been originally demonstrated for larger polyatomics and liquid water systems 4,5 . Another symmetry‐adapted generic approach introduced independently more recently is to approximately invert a linear response “relay” matrix 11–13 using perturbation theory, as was examined for a series of small polyatomics 6 .…”

Solutions of a Dirac Hydrogenlike Meson and Scalar Confinement at Low Orbital Angular Momentum States

“…At this stage there are two possibilities, either U = 0 or U = 0. If we turn off the Coulomb interaction ( U = 0 ) in the above equations we are 2 The condition p = 0 can be seen from the MIT bag model point of view as the boundary condition that prevents light quark q current flux leaving through the meson bag. In this way, we expect typical values for the returning point (r r.p. )…”

“…These effects come mainly from the recoil of the heavy quark. The model has been successful in applications involving both hydrogenlike (B−, D−) meson spectroscopy and also in calculations of weak mixing angles [2] from exclusive semileptonic B-decays. The hamiltonian of Ref.…”