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Constraining the 6.05 MeV 0$^+$ and 6.13 MeV 3$^-$ cascade transitions in the $^{12}$C($\alpha$,$\gamma$)$^{16}$O reaction using the Asymptotic Normalization Coefficients

机译：约束6.05 meV 0 $ + + $和6.13 meV 3 $ ^ - $级联转换在使用渐近的$ ^ {12} $ C（$ \ alpha $，$ \ gamma $）$ ^ {16} $ O反应中归一化系数

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Background. The $^{12}$C$(\alpha,\gamma)^{16}$O reaction plays a fundamentalrole in astrophysics and needs to be known with accuracy better than 10%.Cascade $\gamma$ transitions through the excited states of $^{16}$O arecontributing to the uncertainty. Purpose. To constrain the contribution of the 0$^+$ (6.05 MeV) and 3$^-$(6.13 MeV) cascade transitions. Method. The $\alpha$ Asymptotic Normalization Coefficient for these stateswere measured using the $\alpha$-transfer reaction $^{12}$C$(^6$Li,$d)^{16}$Oat sub-Coulomb energies. Results. The 0$^+$ and 3$^-$ cascade transitions contribution was found to be1.96$\pm$0.3 keV b and 0.12$\pm$0.04 keV b for destructive interference of thedirect and resonance capture and 4.36$\pm$0.45 keV b and 1.44$\pm$0.12 keV bfor constructive interference respectively. Conclusions. The combined contribution of the 0$^+$ and 3$^-$ cascadetransitions to the reaction at 300 keV does not exceed 4%. Significantuncertainties have been dramatically reduced.

机译：背景。 $ ^ {12} $ C $（\ alpha，\ gamma）^ {16} $ O反应在天体物理学中起着根本作用，需要以高于10％的准确度来获知。 $ ^ {16} $ O造成了不确定性。目的。为了限制0 $ ^ + $（6.05 MeV）和3 $ ^-$（6.13 MeV）级联转换的贡献。方法。使用$ \ alpha $转移反应$ ^ {12} $ C $（^ 6 $ Li，$ d）^ {16} $ Oat亚库仑能量来测量这些状态的$ alpha渐近归一化系数。结果。发现0 $ ^ + $和3 $ ^-$级联跃迁贡献为1.96 $ \ pm $ 0.3 keV b和0.12 $ \ pm $ 0.04 keV b对直接和共振捕获的破坏性干扰以及4.36 $ \ pm $ 0.45 keV b和1.44 $ \ pm $ 0.12 keV b用于相长干涉。结论。在300 keV时，0 $ ^ + $和3 $ ^-$级联转变对反应的总贡献不超过4％。重大不确定性已大大降低。

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Avila, M. L.; Rogachev, G. V.; Koshchiy, E.; Baby, L. T.; Belarge, J.; Kemper, K. W.; Kuchera, A. N.; Mukhamedzhanov, A. M.; Santiago-Gonzalez, D.; Uberseder, E.;
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Constraining the 6.05 MeV 0$^+$ and 6.13 MeV 3$^-$ cascade transitions in the $^{12}$C($\alpha$,$\gamma$)$^{16}$O reaction using the Asymptotic Normalization Coefficients

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