Abstract Quasi-elastic scattering measurements have been performed using 16O and 24Mg projectiles off 90Zr at energies around the Coulomb barrier. Experimental data have been analyzed in the framework of coupled channels (CC) calculations using the code CCFULL. The quasi-elastic scattering excitation function and derived barrier distribution for 16O + 90Zr reaction are well reproduced by the CC calculations using the vibrational coupling strengths for 90Zr reported in the literature. Using these vibrational coupling strengths, a Bayesian analysis is carried out for 24Mg + 90Zr reaction. The β 2 and β 4 values for 24Mg are determined to be + 0.43 ± 0.02 and − 0.11 ± 0.02 , respectively. The β 2 parameter determined in the present work is in good agreement with results obtained using inelastic scattering probes. The hexadecapole deformation of 24Mg has been measured very precisely for the first time. Present results establish that quasi-elastic scattering could provide a useful probe to determine the ground state deformation of atomic nuclei.

中文翻译：

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使用准弹性散射测量确定轻质原子核 24Mg 的十六极 (β4) 变形

摘要 准弹性散射测量已经使用 16O 和 24Mg 弹丸在库仑势垒周围的能量下从 90Zr 射出。已使用代码 CCFULL 在耦合通道 (CC) 计算框架中分析了实验数据。使用文献中报道的 90Zr 的振动耦合强度，通过 CC 计算很好地再现了 16O + 90Zr 反应的准弹性散射激发函数和导出的势垒分布。使用这些振动耦合强度，对 24Mg + 90Zr 反应进行贝叶斯分析。24Mg 的 β 2 和 β 4 值分别确定为 + 0.43 ± 0.02 和 - 0.11 ± 0.02。在目前的工作中确定的 β 2 参数与使用非弹性散射探针获得的结果非常一致。第一次非常精确地测量了 24Mg 的十六极变形。目前的结果表明，准弹性散射可以提供一种有用的探针来确定原子核的基态变形。