Vector Meson Dominance as the first order of a sequence of Padé Approximants

J. J. Sanz-Cillero

doi:10.1016/j.nuclphysbps.2008.12.037

Vector Meson Dominance as the first order of a sequence of Padé Approximants

J. J. Sanz-Cillero

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

The use of Padé Approximants for the analysis of the pion vector form-factor is discussed and justified in this talk. The method is tested first in a theoretical model and applied then on real experimental data. It is shown how the Padé Approximants provide a convenient and reliable framework to incorporate both low and high energy information in the euclidean region, leading to improved determinations of the low energy parameters such as, e.g., the quadratic radius 〈 r2 〉Vπ. © 2008 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	157-160
Journal	Nuclear Physics B - Proceedings Supplements
Volume	186
Issue number	C
DOIs	https://doi.org/10.1016/j.nuclphysbps.2008.12.037
Publication status	Published - 1 Jan 2009

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10.1016/j.nuclphysbps.2008.12.037

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title = "Vector Meson Dominance as the first order of a sequence of Pad{\'e} Approximants",

abstract = "The use of Pad{\'e} Approximants for the analysis of the pion vector form-factor is discussed and justified in this talk. The method is tested first in a theoretical model and applied then on real experimental data. It is shown how the Pad{\'e} Approximants provide a convenient and reliable framework to incorporate both low and high energy information in the euclidean region, leading to improved determinations of the low energy parameters such as, e.g., the quadratic radius 〈 r2 〉Vπ. {\textcopyright} 2008 Elsevier B.V. All rights reserved.",

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N2 - The use of Padé Approximants for the analysis of the pion vector form-factor is discussed and justified in this talk. The method is tested first in a theoretical model and applied then on real experimental data. It is shown how the Padé Approximants provide a convenient and reliable framework to incorporate both low and high energy information in the euclidean region, leading to improved determinations of the low energy parameters such as, e.g., the quadratic radius 〈 r2 〉Vπ. © 2008 Elsevier B.V. All rights reserved.

AB - The use of Padé Approximants for the analysis of the pion vector form-factor is discussed and justified in this talk. The method is tested first in a theoretical model and applied then on real experimental data. It is shown how the Padé Approximants provide a convenient and reliable framework to incorporate both low and high energy information in the euclidean region, leading to improved determinations of the low energy parameters such as, e.g., the quadratic radius 〈 r2 〉Vπ. © 2008 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.nuclphysbps.2008.12.037

DO - 10.1016/j.nuclphysbps.2008.12.037

M3 - Article

VL - 186

SP - 157

EP - 160

IS - C

ER -

Vector Meson Dominance as the first order of a sequence of Padé Approximants

Abstract

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