Gaussian modification of neutrino energy loss on strongly screening nuclides ~（55）Co and ~（56）Ni by electron capture in stellar interior

Gaussian modifications of the neutrino energy loss (NEL) by electron capture on the strongly screening nuclides ⁵⁵Co and ⁵⁶Ni are investigated. The results show that in strong electron screening (SES), the NEL rates decrease without modifying the Gamow-Teller (G-T) resonance transition. For instance, the NEL rates of ⁵⁵Co and ⁵⁶Ni decrease more than two and three orders of magnitude for ρ₇=5.86, T₉≤5, Y_e=0.47, Δ=6.3, respectively. In contrast, due to Gaussian modification, the NEL rates increase about two orders of magnitude in SES. Due to SES, the maximum values of the C-factor (in %) on NEL of ⁵⁵Co, ⁵⁶Ni are of the order of 99.80%, 99.56% at ρ₇=5.86 Y_e=0.47 and 99.60%, 99.65% at ρ₇=106 Y_e=0.43, respectively.     

非傍轴截断平顶光束的质量因子

 使用功率密度的二阶矩方法和Li提出的平顶光束模型，推导出了非傍轴截断平顶光束的束腰宽度、远场发散角和光束质量因子的解析表达式。计算结果表明：非傍轴截断平顶光束的质量因子不仅与截断参数、光束阶数有关，而且与初始束腰宽度和波长之比有关；当截断参数趋近于0时，远场发散角趋于渐近值63.435°；对于光束阶数为1和截断参数趋于无穷大的特例，计算结果分别退化为非傍轴截断高斯光束和非傍轴无截断平顶光束的结果；功率密度的二阶矩方法可用于截断光束，并克服了光束质量因子的发散困难。