6533b834fe1ef96bd129d405

RESEARCH PRODUCT

Phenomenological applications of rational approximants

Pere MasjuanSergi Gonzàlez-solís

subject

PhysicsNuclear and High Energy Physics010308 nuclear & particles physicsForm factor (quantum field theory)General Physics and AstronomyAstronomy and AstrophysicsVector meson dominanceFunction (mathematics)Space (mathematics)01 natural sciencesPseudoscalar mesonQuadratic equationQuantum electrodynamics0103 physical sciencesPadé approximantHigh Energy Physics::Experiment010306 general physicsMathematical physics

description

We illustrate the powerfulness of Padé approximants (PAs) as a summation method and explore one of their extensions, the so-called quadratic approximant (QAs), to access both space- and (low-energy) time-like (TL) regions. As an introductory and pedagogical exercise, the function [Formula: see text] is approximated by both kind of approximants. Then, PAs are applied to predict pseudoscalar meson Dalitz decays and to extract [Formula: see text] from the semileptonic [Formula: see text] decays. Finally, the [Formula: see text] vector form factor in the TL region is explored using QAs.

yearjournalcountryeditionlanguage
2016-09-08Modern Physics Letters A
https://doi.org/10.1142/s0217732316300287