Abstract

AL-GHAMDI, H. M.; DARWISH, E. M.; IBRAHEEM, A. A.  and  ABOU-ELSEBAA, H. M.. Uncertainties in theoretical predictions for γ d → π 0 d observables near threshold due to the use of different elementary amplitudes. Rev. mex. fis. [online]. 2022, vol.68, n.6.  Epub July 31, 2023. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.68.061201.

We discuss possible uncertainties in theoretical predictions for $\gamma d\to {\pi }^{0}d$ observables near threshold due to the use of different elementary $\gamma N\to \pi N$ amplitudes using an approach which is based on time-ordered perturbation theory. Results are presented for unpolarized cross sections and all possible spin asymmetries of differential and total cross sections. Our results indicate that the estimations of the uncertainty on the $\gamma d\to {\pi }^{0}d$ observables show important sensitivity to the modeling of the elementary $\gamma N\to \pi N$ operator. A comparison to presently available experimental data is given. The results presented here are of particular interest for the evaluation of the systematic uncertainties caused by the use of different elementary operators in the analyses of $\gamma d\to {\pi }^{0}d$ measurements to extract information on the free neutron amplitude from deuteron data.

Keywords : Meson production; photoproduction reactions; few-body systems, deuteron; polarization phenomena in reactions; spin observables; polarized beams; polarized targets.

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