Contribution of Coherent and Incoherent <em>π</em>-Photoproduction Channels to the Spin Asymmetry and the GDH Sum Rule for the Deuteron

Darwish Eed M.

doi:10.1088/0256-307X/32/12/122501

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Contribution of Coherent and Incoherent π-Photoproduction Channels to the Spin Asymmetry and the GDH Sum Rule for the Deuteron

Darwish Eed M.^1,2**

¹Physics Department, Faculty of Science, Taibah University, Madinah 41477, Saudi Arabia
²Physics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

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Received Date: June 01, 2015

Revised Date: November 22, 2015

Published Date: November 30, 2015

Abstract

Abstract

An explicit evaluation of the deuteron spin asymmetry and the associated Gerasimov–Drell–Hearn (GDH) integral for coherent and incoherent π-photoproduction channels with inclusion of rescattering effects is presented. The helicity-dependent total inclusive photoabsorption cross section on the deuteron and the helicity-dependent semi-exclusive channels γd→π^±NN and γd→π⁰X (X=pn or d) are explicitly evaluated up to 1.5 GeV. Our model calculations indicate that convergence of the GDH integral is reached for π⁰-production, while it is not completely reached for π^±-production. For the sum of γd→πNN and γd→π⁰ d contributions to the finite GDH integral by explicit integration up to 1.5 GeV, a value of 249.73 μb is obtained. The extracted results are compared with available experimental data from MAMI and ELSA. We find that our predictions fairly well reproduce the data in the π^± NN case, while fail to predict the measured shape of the π⁰X channel.

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Contribution of Coherent and Incoherent π-Photoproduction Channels to the Spin Asymmetry and the GDH Sum Rule for the Deuteron

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