论文标题
转移横截面对边界波函数的敏感性
Sensitivity of transfer cross sections to the bound-state wave functions
论文作者
论文摘要
我们测试转移反应对出生近似形式的变形波函数的转移反应的敏感性。使用超对称转换，我们从两体电位中删除了保利 - 弗洛底状态，并产生等效的超对称伴侣。这些电势的波函数具有相同的渐近性，但核内部有所不同。这使我们能够研究核内部对转移横截面的影响。我们将计算应用于$^{16} $ o（$ d，p $）$^{17} $ o和$^{12} $ c（$^7 $ li，$ t $）$^{16} $ o反应，这是Nucleon和$α$转移的典型示例。使用超对称电位时，$^{17} $ O的光谱因子减少了约30 \％。对于$^{16} $ O，差异较小。但是，我们表明，由于选择了拟合的角度范围，因此在测定光谱因素的测定中存在歧义。
We test the sensitivity of transfer reactions to the bound state wave functions within a distorted wave Born approximation formalism. Using supersymmetric transformations, we remove the Pauli-forbidden states from the two-body potentials and generate an equivalent supersymmetric partner. Wave functions from these potentials have the same asymptotics, but they differ in the nuclear interior. This allows us to study the influence of the nuclear interior on transfer cross sections. We apply the calculations to the $^{16}$O($d, p$)$^{17}$O and $^{12}$C($^7$Li, $t$)$^{16}$O reactions, which are typical examples of nucleon and $α$ transfer, respectively. The spectroscopic factors for $^{17}$O are decreased by about 30\% when using supersymmetric potentials. For $^{16}$O, the differences are smaller. However, we show that ambiguities exist in the determination of the spectroscopic factors, due to the choice of the angular range where the fit is performed.
