Spin assignments for the resonant structures in theC12+C12system through the reactionC12(C12,Og.s.16)Beg.s.8atEc.m.=6−11MeV

The resonant structures in the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ + ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ system have been studied through the reaction ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$,${}_{}{}^{16}{}_{}{}^{}\mathrm{O}_{\mathrm{g}.\mathrm{s}.\mathrm{}}^{}{}_{}{}^{}$)${}_{}{}^8{}_{}{}^{}\mathrm{Be}_{\mathrm{g}.\mathrm{s}.\mathrm{}}^{}{}_{}{}^{}$ at $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=6-11\mathrm{}$ MeV. Excitation functions of the reaction have been measured in 50-keV steps at 14 angles between ${\theta }_{\mathrm{c}.\mathrm{m}.\mathrm{}}\sim 29° \mathrm{and} \sim 90°$. Resonant structures have been found at 5.94, 6.41, 6.68, 7.47, 7.90, 8.10, 8.37, 8.58, 8.88, 9.08, 9.34, 9.56, 9.70, 9.99, 10.29, 10.43, 10.68, and 10.98 MeV. Some of these are new resonances. Their $J^{\pi }$ values have been assigned to be $4^{+}$(5.94 MeV), $2^{+}$(6.41 MeV), $2^{+}$(6.68 MeV), $4^{+}$(7.90 MeV), $2^{+}$ + $4^{+}$(8.10 MeV), $4^{+}$(8.37 MeV), $4^{+}$(8.58 MeV), $6^{+}$(8.88 MeV), $6^{+}$(9.08 MeV), $6^{+}$(9.34 MeV), $6^{+}$(9.56 MeV), $6^{+}$(9.70 MeV), $6^{+}$(9.99 MeV), ($8^{+}$)(10.29 MeV), ($8^{+}$)(10.43 MeV), $8^{+}$(10.68 MeV), and $8^{+}$(10.98 MeV). An interesting relation between this exit channel and the $\alpha$,