Three resonances in 12 C + ^C withE CtW U ir ) of 8.85(6 + ) 11.2(8 + ), and 13.75(10 + ) are reported. Together with earlier data, these resonances fit in a rotational band in Mg. model based on the rotation-vibration coupling is proposed to account for these data.Several recent experiments 1 " 4 have provided new information on spins and parities of resonances in 24 Mg at high energies of exitation. In the present experiment, we investigate the reaction 12 C( 12 C,o?) 20 Ne in the range 6.85 ^£ c ,^ 15 MeV and report three resonances at£ Cema =8.85, 11.2, and 13.75 MeV to which we assign definite J 1 * values. Combining these results with the data from previously reported measurements 3 and the results of other author s, 1 ' 2 ' 4 " 9 we attempt a unified picture of the resonances in 24 Mg.The present experiment was performed using the Model FN tandem accelerator of the Centre d'Etudes Nucleaires Bruyeres le Chatel. a particles from the reaction 12 C( 12 C,o0 2O Ne were momentum analyzed in a split-pole magnetic spectrograph and detected in position-sensitive detectors. The excitation functions of four a groups leading to, respectively, the ground state and the 1.63-, 4.25-, and 4.97-MeV states in 20 Ne were measured at 10° and 20° using a 30-/ig/cm 2 carbon target. In addition, the ground-state excitation function was measured at 7.5° lab using a 50-/jtg/cm 2 target. From the correlated maxima in the excitation functions of transitions leading to naturalparity states in 20 Ne and the relative smallness of the 2" excitation function at very forward angles, energies around£ c .m. =8.85, 11.2, and 13.75 MeV were selected as likely candidates for resonances, and ground-state a angular distributions were measured on and off these energies. For a narrow, noninterfering resonance of spin J = L, the angular distribution follows the form ffli =11.2 and 13.75 MeV with the P 8 2 (eos0) and P 10 2 (cos£) shapes, respectively, is shown in Fig. 1; the agreement is quite satisfactory.The measured angular distributions were subsequently submitted to a x 2 (^max) analysis using expression (2). The values of x 2 plotted vs the maximal degree of polynomials used are shown <5(8) mb/sr \ 2 1 0.5[ 0.2j 0.l| 5| 2 I l[ 0,5 0.2| 0.1 •A ; *\ 11.2 MeV J-8* \ / Y\ f\
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