$sdgh$主壳层单粒子能量的拟合
Fitting Single Particle Energies in $sdgh$ Major Shell
摘要：
为了得到更好的壳层模型结果，我们对$sdgh$主壳层的单粒子能量进行了两种非线性拟合。在核壳模型框架下，利用CD-Bonn核子-核子两体有效相互作用，计算了$sdgh$壳层中含$A=103-110$的轻Sn同位素的低能本征值.通过使用两种不同的非线性拟合程序，即，下坡单纯形法和克隆选择法。为了得到更好的$^{104,106,108,110}$ Sn同位素谱，在拟合方法中使用了$2s_{1/2}$、$1d_{3/2}$和$0h_{11/2}$三种状态的未知单粒子能量。我们比较了$^{104,106,108,110}$ Sn和$^{103,105,107,109}$ Sn同位素的能谱与/不与实验结果的非线性拟合。
英文摘要：
We have performed two kinds of non-linear fitting procedures to the single-particle energies in the $sdgh$ major shell to obtain better shell model results. The low-lying energy eigenvalues of the light Sn isotopes with $A=103-110$ in the $sdgh$-shell are calculated in the framework of the nuclear shell model by using CD-Bonn two-body effective nucleon-nucleon interaction. The obtained energy eigenvalues are fitted to the corresponding experimental values by using two different non-linear fitting procedures, i.e., downhill simplex method and clonal selection method. The unknown single-particle energies of the states $2s_{1/2}$, $1d_{3/2}$, and $0h_{11/2}$ are used in the fitting methods to obtain better spectra of the $^{104,106,108,110}$Sn isotopes. We compare the energy spectra of the $^{104,106,108,110}$Sn and $^{103,105,107,109}$Sn isotopes with/without a nonlinear fit to the experimental results.
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