The reaction cross sections of \(^{15,16}C+^{12}C\) and \(^{15,16}C+^{27}Al\) are calculated at intermediate energies using microscopic complex optical potential (OP) derived from Brueckner G-matrix. Glauber model (GM) with and without in-medium effects are also used for comparison. Different models for the density distributions such as deformed Fermi density, whose deformation parameters and radii are determined by RMF calculations, a harmonic oscillator (HO), harmonic oscillator plus Gaussian (HOG) and two-parameters Fermi (2pF) are used. It is found that \(^{16}C\) can be described by HO, HOG, and 2pF densities with the same matter radius \(\sim \)2.75 fm, while \(^{15}C\) can be described by HOG (\(^{14}C\) core and one neutron in the \(S_{1/2}\) state) with matter radius 2.88 fm, when using the OP in the calculation of the reaction cross section, which indicates the halo structure of \(^{15}C\). Glauber model with in-medium effects predicted matter radius 2.8 fm for both \(^{15}C\) and \(^{16}C\). A clear halo structure is shown in the extracted density distribution of \(^{15}C\) predicted by both the OP and GM models, while for \(^{16}C\) a neutron skin, in the range 0.3-0.4 fm, which is smaller than of \(^{15}C\), is predicted without a long extended tail, as that predicted for \(^{15}C\), which indicates the absence of halo structure for \(^{16}C\), in contrast with most of the other predictions.

中文翻译：

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$$ ^ {15,16} C + ^ {12} C $ 15，16 C + 12 C和$$ ^ {15,16} C + ^ {27} Al $ 15、16的反应截面分析使用微观光学势和Glauber模型在中能下C + 27 A l

\（^ {15,16} C + ^ {12} C \）和\（^ {15,16} C + ^ {27} Al \）的反应截面是使用微观复光学势（OP ）在中间能量下计算的）源自Brueckner G-matrix。具有和不具有中等效果的Glauber模型（GM）也用于比较。使用不同的密度分布模型，例如变形费米密度，其变形参数和半径由RMF计算确定，使用了谐波振荡器（HO），谐波振荡器加高斯（HOG）和二参数费米（2pF）。发现\（^ {16} C \）可以用相同物质半径\（\ sim \） 2.75 fm的HO，HOG和2pF密度描述，而\（^ {15} C \）可以描述为由HOG（\（^ {14} C \）核和一个处于\（S_ {1/2} \）状态的中子，其物质半径为2.88 fm，在计算反应截面时使用OP表示光晕的结构\（^ {15}℃\）。具有中等影响的Glauber模型预测\（^ {15} C \）和\（^ {16} C \）的物质半径为2.8 fm 。在OP和GM模型预测的\（^ {15} C \）的提取密度分布中显示了清晰的光晕结构，而对于\（^ {16} C \）的中子皮，在0.3- 0.4 FM，比的较小\（^ {15}℃\） ，没有一个长延伸尾部被预测，如所预测的\（^ {15}℃\）与大多数其他预测相反，它表示\（^ {16} C \）没有光环结构。