A direct method for unfolding the resolution function from measurements of neutron induced reactions

Žugec, Petar and Colonna, N. and Sabate-Gilarte, M. and Vlachoudis, V. and Massimi, C. and Lerendegui-Marco, J. and Stamatopoulos, A. and Bacak, M. and Warren, S. G. (n_TOF Collaboration) (2017) A direct method for unfolding the resolution function from measurements of neutron induced reactions. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 875. pp. 41-50. ISSN 0168-9002

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Abstract

The paper explores the numerical stability and the computational efficiency of a direct method for unfolding the resolution function from the measurements of the neutron induced reactions. A detailed resolution function formalism is laid out, followed by an overview of challenges present in a practical implementation of the method. A special matrix storage scheme is developed in order to facilitate both the memory management of the resolution function matrix, and to increase the computational efficiency of the matrix multiplication and decomposition procedures. Due to its admirable computational properties, a Cholesky decomposition is at the heart of the unfolding procedure. With the smallest but necessary modification of the matrix to be decomposed, the method is successfully applied to system of 10^5×10^5. However, the amplification of the uncertainties during the direct inversion procedures limits the applicability of the method to high-precision measurements of neutron induced reactions.

Item Type: Article
Keywords: resolution function, unfolding, Cholesky decomposition, neutron time of flight, n_TOF facility
Date: 2017
Subjects: NATURAL SCIENCES > Physics
Additional Information: © 2017 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Received 14 March 2017; Received in revised form 14 July 2017. Accepted 1 September 2017. Available online 7 September 2017.
Divisions: Faculty of Science > Department of Physics
Project code: IP-2013-11-1680
Publisher: Elsevier
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 12 Mar 2018 08:52
Last Modified: 12 Mar 2018 08:54
URI: http://digre.pmf.unizg.hr/id/eprint/5789

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