Determining the uncertainty of Eγ

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To determine the uncertainty in Eγ we pick an angle for the neutron within [[math]\theta_n[/math], [math]\theta_n + \delta \theta_n[/math]] and a momentum of the neutron between [[math]P_n[/math], [math]P_n + \delta P_n[/math]]. What are reasonable [math]\delta \theta_n and \delta P_n[/math]?