$^{16}$ O的尖锐共振$0_3^+$态的低能弹性$α$ - $^{12}$ C散射
Elastic $α$-$^{12}$C scattering at low energies with the sharp resonant $0_3^+$ state of $^{16}$O
摘要：
用有效拉格朗日方法研究了低能$s$波弹性$α$ - $^{12}$ C散射中包含$^{16}$ O的尖锐共振$0_3^+$态和$^{12}$ C的第一激发$2_1^+$态.将弹性散射振幅分为两部分，一部分是由Breit-Wigner公式参数化的$^{16}$ O的尖锐共振$0_3^+$态，另一部分是由有效射程展开参数化的非共振部分。在振幅的非共振部分中，包括来自$^{12}$ C的$2_1^+$状态的贡献。我们讨论了一个大的相关性之间的耦合的$2_1^+$状态的$^{12}$ C和一个有效的范围参数$Q_0$，以及包括顶点校正的初始和最终的$α$ - $^{12}$ C状态的必要性。在利用实验数据确定振幅中出现的参数后，计算了$0_1^+$ O的基态和第一激发态的渐近归一化系数，并与文献中的结果进行了比较.
英文摘要：
An inclusion of sharp resonant $0_3^+$ state of $^{16}$O and first excited $2_1^+$ state of $^{12}$C in a study of $s$-wave elastic $α$-$^{12}$C scattering at low energies is investigated in an effective Lagrangian approach. The elastic scattering amplitude is parted into two; one is for the sharp resonant $0_3^+$ state of $^{16}$O parameterized by Breit-Wigner formula, and the other is for a non-resonant part of the amplitude parameterized by effective range expansion. In the non-resonant part of the amplitude, a contribution from the $2_1^+$ state of $^{12}$C is included. We discuss a large correlation between a coupling for the $2_1^+$ state of $^{12}$C and an effective range parameter $Q_0$ as well as a necessity of inclusion of a vertex correction for the initial and final $α$-$^{12}$C states. After fixing parameters appearing in the amplitudes by using experimental data, we calculate asymptotic normalization coefficients for ground $0_1^+$ state and first excited $0_2^+$ state of $^{16}$O and compare them to previous results found in literature.
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