论文标题
弹性$α$ - $^{12} $ c散射在低能的情况下，带有尖锐谐振$ 0_3^+$ $^{16} $ o状态
Elastic $α$-$^{12}$C scattering at low energies with the sharp resonant $0_3^+$ state of $^{16}$O
论文作者
论文摘要
包括$^{16} $ o的尖锐谐振$ 0_3^+$状态和首先激动的$ 2_1^+$ $^{12} $ c状态在$ s $ s $ -wave弹性$α$ - $α$ - $α$ - $^{12} $ c散射的情况下，以有效的lagrangian方法进行了调查。弹性散射幅度分为两个。一个是针对$^{16} $ o的尖锐谐振$ 0_3^+$状态，由Breit-Wigner公式参数化，另一个用于通过有效范围扩展来参数化的振幅的非谐振部分。在振幅的非共振部分中，包括$^{12} $ c的$ 2_1^+$状态的贡献。我们讨论了$^{12} $ c的$ 2_1^+$状态的耦合与有效范围参数$ q_0 $之间的较大相关性，以及需要在初始和最终$α$ - $ - $ - $^{12} $ c状态下包含顶点校正的必要性。通过使用实验数据固定在振幅中出现的参数后，我们计算了渐近归一化系数的地面$ 0_1^+$状态，并首先激发$ 0_2^+$ $^{16} $ o状态，并将它们与文献中发现的先前结果进行比较。
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.
