4-8 July 2016
Kramer Law building
Africa/Johannesburg timezone
<a href="http://events.saip.org.za/internalPage.py?pageId=10&confId=86">The Proceedings of SAIP2016</a> published on 24 December 2017

Determining resonance parameter from experimental cross-sections of Coulomb scattering.

5 Jul 2016, 15:20
20m
4A (Kramer Law building)

4A

Kramer Law building

UCT Middle Campus Cape Town
Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics (1)

Speaker

Mr Paul Vaandrager (University of Pretoria)

Please indicate whether<br>this abstract may be<br>published online<br>(Yes / No)

Yes

Abstract content <br> &nbsp; (Max 300 words)<br><a href="http://events.saip.org.za/getFile.py/access?resId=0&materialId=0&confId=34" target="_blank">Formatting &<br>Special chars</a>

Scattering data is fitted with a new parametrization of the multi-channel Scattering matrix (S-matrix) to determine the resonance parameters (resonance energy and resonance width) of scattering problems involving Coulomb interactions. The S-matrix is written in terms of the corresponding “in” and “out” Jost matrices which are expanded in the Taylor series of the collision energy, E, around an appropriately chosen energy, E0. This is achieved by writing the Jost matrices in a semi-analytic form where all the factors responsible for the multi-valuedness of the Jost matrices and branching of the
Riemann surface of the energy are factorised explicitly. The remaining unknown factors in the Jost matrices are analytic and single-valued functions of the variable E and are defined on a simple energy plane. The expansion is done for these analytic functions and the expansion coefficients are used as the fitting parameters. The method is tested on both a single-channel and a two-channel model, using sets of artificially generated data points with typical error bars and a typical random noise in the positions of the points.

Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)?

No

Apply to be<br> considered for a student <br> &nbsp; award (Yes / No)?

Yes

Main supervisor (name and email)<br>and his / her institution

Prof. Sergei Rakitianski, University of Pretoria

Level for award<br>&nbsp;(Hons, MSc, <br> &nbsp; PhD, N/A)?

PhD

Primary author

Mr Paul Vaandrager (University of Pretoria)

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