Remarks on `improved' atomic form factors

Improved Constraints on B → πlν̄l Form Factors

The behavior of the B → πlν̄l form factors in the entire physical range is examined in a model independent way. Unitarity bounds are further constrained by the lattice results (APE). From this analysis, we obtain f(0) = 0.38 ± .03 if the B-pole dominance behavior is assumed. However, to get the information on the behavior of the form factor f, QSR results are included. We see the deviations from...

Remarks on Form Factor Bounds

Improved model independent upper bounds on the weak transition form factors are derived using inclusive sum rules. Comparison of the new bounds with the old ones is made for the form factors hA1 and hV in B → D decays. [email protected] 1 A set of model independent bounds has been derived to provide a restriction on the shape of weak transition form factors [1–3]. They have been extensive...

Pion Form Factors with Improved Infrared Factorization

We calculate electromagnetic pion form factors with an analytic model for αs(Q 2) which is infrared (IR) finite. We show that for the asymptotic pion distribution amplitude Fπ0γ∗γ agrees with the data, whereas the IR-enhanced hard contribution to Fπ and the soft part can jointly account for the data. 12.38.Bx, 12.38.Cy, 12.38.Lg, 13.40.Gp Typeset using REVTEX ∗Email: [email protected]...

Some remarks on the Brunovsky canonical form

Among the various canonical forms which were proposed for constant linear systems, the one due to Brunovsky [1] certainly is the most profound. It characterizes a dynamics modulo the group of static state feedbacks by a finite set of pure integrators. Its proof, which is quite computational, has been improved in various ways, and can be found in several textbooks (see, e.g., [12, 13, 20, 21] an...

Some Remarks on Prime Factors of Integers