Variances and covariances in deconvolution of multichannel spectra: S-34 (gamma,xn) cross section

Citation
O. Helene et al., Variances and covariances in deconvolution of multichannel spectra: S-34 (gamma,xn) cross section, BRAZ J PHYS, 31(1), 2001, pp. 8-14
Citations number
17
Categorie Soggetti
Physics
Journal title
BRAZILIAN JOURNAL OF PHYSICS
ISSN journal
01039733 → ACNP
Volume
31
Issue
1
Year of publication
2001
Pages
8 - 14
Database
ISI
SICI code
0103-9733(200103)31:1<8:VACIDO>2.0.ZU;2-L
Abstract
This paper discusses some aspects of deconvolution of one-dimensional spect ra in the framework of the Least Squares Method and presents a minimum vari ance regularization procedure. Covariance matrices are taken into account i n every step. Fluctuation and artifacts, both in the deconvolved and regula rized spectra, are related to the structure of the covariance matrices, The method is applied to a simulated spectrum and to the S-34 (gamma ,xn) cros s section determination from actual yield data.