Abstract
A modification to the newton iteration method has been used to solve the nonlinear equation that specifies the phase of the scattering amplitude in terms of the complete (0 to 180 deg) cross section. The approach is tested by using it to specify the scattering amplitude from simulated data and comparing the result with the amplitude found by using an extract iterated fixed point method of solution. The modified Newton method was then used to analyse the cross sections from neutron-alpha particle scattering at low nuclear energies (< 24 MeV) and from 1000 eV electron-water molecule scattering. 13 refs., 5 figs.
Citation Formats
Lun, D R, Allen, L J, and Amos, K.
Determination of scattering amplitudes from differential cross section data by using unitarity conditions.
Australia: N. p.,
1994.
Web.
Lun, D R, Allen, L J, & Amos, K.
Determination of scattering amplitudes from differential cross section data by using unitarity conditions.
Australia.
Lun, D R, Allen, L J, and Amos, K.
1994.
"Determination of scattering amplitudes from differential cross section data by using unitarity conditions."
Australia.
@misc{etde_10113785,
title = {Determination of scattering amplitudes from differential cross section data by using unitarity conditions}
author = {Lun, D R, Allen, L J, and Amos, K}
abstractNote = {A modification to the newton iteration method has been used to solve the nonlinear equation that specifies the phase of the scattering amplitude in terms of the complete (0 to 180 deg) cross section. The approach is tested by using it to specify the scattering amplitude from simulated data and comparing the result with the amplitude found by using an extract iterated fixed point method of solution. The modified Newton method was then used to analyse the cross sections from neutron-alpha particle scattering at low nuclear energies (< 24 MeV) and from 1000 eV electron-water molecule scattering. 13 refs., 5 figs.}
place = {Australia}
year = {1994}
month = {Dec}
}
title = {Determination of scattering amplitudes from differential cross section data by using unitarity conditions}
author = {Lun, D R, Allen, L J, and Amos, K}
abstractNote = {A modification to the newton iteration method has been used to solve the nonlinear equation that specifies the phase of the scattering amplitude in terms of the complete (0 to 180 deg) cross section. The approach is tested by using it to specify the scattering amplitude from simulated data and comparing the result with the amplitude found by using an extract iterated fixed point method of solution. The modified Newton method was then used to analyse the cross sections from neutron-alpha particle scattering at low nuclear energies (< 24 MeV) and from 1000 eV electron-water molecule scattering. 13 refs., 5 figs.}
place = {Australia}
year = {1994}
month = {Dec}
}