f $_{7/2}$壳层的低能磁辐射增强
Low energy magnetic radiation enhancement in the f$_{7/2}$ shell
摘要：
对$γ$射线强度函数的研究可以揭示有关潜在的原子核结构的有用信息。强度函数的累积实验数据显示在低$γ$能量区域中的增强。我们在$f_{7/2}$壳模型的基础上计算了$^{49,50}$ Cr和$^{48}$ V核的M1强度函数。我们发现一个低能量的伽马衰变增强类似于在以前的研究中获得的其他核，但第一次，我们也能够研究与M1发射和吸收的完整分布。我们发现M1强度分布在零跃迁能量处达到峰值，然后指数下降。峰值的高度和指数的斜率近似与模型空间中所研究的核和初始角动量的范围无关。我们发现，指数下降的斜率是成比例的$T=1$配对间隙的能量。
英文摘要：
Studies of the $γ$-ray strength functions can reveal useful information concerning underlying nuclear structure. Accumulated experimental data on the strength functions show an enhancement in the low $γ$ energy region. We have calculated the M1 strength functions for the $^{49,50}$Cr and $^{48}$V nuclei in the $f_{7/2}$ shell-model basis. We find a low-energy enhancement for gamma decay similar to that obtained for other nuclei in previous studies, but for the first time we are also able to study the complete distribution related to M1 emission and absorption. We find that M1 strength distribution peaks at zero transition energy and falls off exponentially. The height of the peak and the slope of the exponential are approximately independent of the nuclei studied in this model space and the range of initial angular momenta. We show that the slope of the exponential fall off is proportional to the energy of the $T=1$ pairing gap.
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