Test of a relation between deuteron stripping to unbound levels and elastic scattering measurements

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Abstract
The work concerns a simple 'model-independent' approximation to the energy-differential cross section d2 sigma /dEd Omega for a stripping reaction A(d,p)B* into the continuum. For specified angular momentum of B*, this is given by a single-particle cross section calculable with DWBA, multiplied by sin2 delta , where delta is the phase shift for n-A scattering at a corresponding energy. Though previously applied only to isolated resonances in B*, and for the cross section integrated over energy, the approximation is tested in detail and as to absolute magnitude across two broad, overlapping resonances of the same spin and parity. Experimental phase shifts of Demanins et al. (1971) for n-12C scattering are used to calculate the spectra of protons as observed by Darden et al. (1973) at various angles in the 12C(d,p)13C* reaction. The principal resonances in 13C are two d3/2 ones, levels 7 and 8. Agreement between calculated and observed spectra is quite good. The spectroscopic factors of the levels are discussed.