Abstract
Absolute differential cross sections for the elastic scattering of $alpha$ particles from $sup 26$Mg have been measured as a function of bombarding energy between 4.18 and 5.14 MeV at angles corresponding to the c.m. angles 90degree, 125degree, 141degree, and 167degree. The data have been analyzed using the multilevel multichannel expression of R matrix theory modified to replace the background hard sphere phase shifts by complex optical model phase shifts. These phase shifts have been obtained by fitting the averaged cross section with the optical model. This modification has resulted in reasonably good fits to excitation functions both in magnitude and shape. Twelve levels in the compound nucleus $sup 30$Si have been identified and their spins, parities, and widths have been determined. The possibility of the 0$sup +$ levels being fragmented components of a quartet parent state has been discussed. (AIP)
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