Consistent asymptotic expansion of the partial wave sum of the scattering amplitude

1976 ◽  
Vol 260 (2) ◽  
pp. 333-343 ◽  
Author(s):  
D.H.E. Gross
Keyword(s):  
Asymptotic Expansion ◽  
Partial Wave ◽  
Scattering Amplitude

Asymptotic expansion for the scattering amplitude in scalar field theory

1989 ◽  
Vol 32 (5) ◽  
pp. 362-365
Author(s):  
S. A. Gadzhiev ◽  
R. K. Dzhafarov ◽  
A. I. Livashvili
Keyword(s):  
Field Theory ◽  
Asymptotic Expansion ◽  
Scalar Field ◽  
Scattering Amplitude ◽  
Scalar Field Theory

scholarly journals Zeros of the Partial-Wave Scattering Amplitude

1966 ◽  
Vol 152 (4) ◽  
pp. 1227-1233 ◽  
Author(s):  
Y. S. Jin ◽  
Kyungsik Kang
Keyword(s):  
Partial Wave ◽  
Wave Scattering ◽  
Scattering Amplitude

scholarly journals A NOTE ON COULOMB SCATTERING AMPLITUDE

2007 ◽  
Vol 22 (18) ◽  
pp. 3131-3136
Author(s):  
ZAFAR AHMED
Keyword(s):  
Schrödinger Equation ◽  
Partial Wave ◽  
Schrodinger Equation ◽  
Scattering Amplitude ◽  
Coulomb Scattering ◽  
Cylindrical Coordinates ◽  
General Method

The summation of the partial wave series for Coulomb scattering amplitude, fC(θ) is usually avoided because the series is oscillatorily and divergent. Instead, fC(θ) is generally obtained by solving the Schrödinger equation in parabolic cylindrical coordinates which is not a general method. Here, we show that a reconstructed series, (1- cos θ)2fC(θ), is both convergent and analytically summable.

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