Positivity restrictions in polarized coincidence electronuclear scattering

Abstract

We make a systematic examination of the role played by the restriction that the cross section in polarized coincidence electronuclear processes must be positive. The necessary formalism for unpolarized scattering structure functions is developed within two frameworks: (i) the response tensor method; and (ii) the Jacob-Wick method. Equivalence of the two methods is demonstrated for unpolarized scattering, and then the simpler Jacob-Wick method is applied to the polarized pseudoscalar electroproduction off a nucleon. We derive three known and eight new inequalities among the polarized target structure functions, as well as eleven new polarized ejectile structure functions inequalities. We also provide rules for this method to be used in deuteron two-body electrodisintegration in conjunction with the results published in Phys. Rev. C 40, 2479 (1989).