The convergence of Legendre Pade approximants to the Coulomb and other scattering amplitudes

1978 ◽  
Vol 11 (2) ◽  
pp. 275-289 ◽  
Author(s):  
A K Common ◽  
T W Stacey
Keyword(s):  
Scattering Amplitudes ◽  
Padé Approximants ◽  
Pade Approximants

scholarly journals Scalar isoscalar form factors for energies above 1 GeV

2019 ◽  
Vol 202 ◽  
pp. 06002
Author(s):  
Stefan Ropertz ◽  
Christoph Hanhart ◽  
Bastian Kubis
Keyword(s):  
Experimental Data ◽  
Scattering Amplitudes ◽  
Form Factors ◽  
Padé Approximants ◽  
High Accuracy ◽  
Data Description ◽  
Pade Approximants ◽  
Low Energies

We present a new parametrization for scattering amplitudes and form factors, which is consistent with high-accuracy dispersive representations at low energies but at the same time allows for a data description of higher mass resonances such as the f0(1500) and f0(2020). The formalism is general and thus can be applied to many decay processes. As an example we discuss the decay of $ \bar {B}_s^0 $ → J/ψππ(KK). From the amplitude fixed in a fit to the experimental data pole positions and residues are extracted via Padé approximants.

scholarly journals Padé approximants for the ground-state energy of closed-shell quantum dots

1997 ◽  
Vol 56 (24) ◽  
pp. 15740-15743 ◽  
Author(s):  
Augusto Gonzalez ◽  
Bart Partoens ◽  
François M. Peeters
Keyword(s):  
Quantum Dots ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Closed Shell ◽  
Padé Approximants ◽  
Pade Approximants
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