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arXiv 0907.1303nucl-th
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壳模型拟合中的模型空间截断

Model space truncation in shell-model fits

G. F. Bertsch, C. W. Johnson

备注：
10 pages, 3 figures
发表信息：
Phys.Rev.C80:027302,2009
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摘要：

我们进行了一个相互作用的壳模型研究的结合能和光谱的$sd$壳核检查壳模型空间截断的效果。从一个定义在一个较大的空间和截断的$sd$壳的哈密顿量，结合能的强烈影响的截断，但对激发能的影响是一个数量级较小。然后，我们重新调整两粒子相互作用的矩阵元，以补偿空间截断，并发现它是很容易捕获的结合能移动的90%，通过重新调整一些参数。在两粒子哈密顿量的全参数空间下，我们发现结合能和激发能都可以拟合，剩余误差约为截断平均误差的5%。数值上，与我们的哈密顿量的均方根初始误差为3.4兆电子伏，剩余的残余误差为0.16兆电子伏。这与$sd$中发现的经验误差相当-壳相互作用壳模型拟合实验数据\cite{br06}。

英文摘要：

We carry out an interacting shell-model study of binding energies and spectra in the $sd$-shell nuclei to examine the effect of truncation of the shell-model spaces. Starting with a Hamiltonian defined in a larger space and truncating to the $sd$ shell, the binding energies are strongly affected by the truncation, but the effect on the excitation energies is an order of magnitude smaller. We then refit the matrix elements of the two-particle interaction to compensate for the space truncation, and find that it is easy to capture 90% of the binding energy shifts by refitting a few parameters. With the full parameter space of the two-particle Hamiltonian, we find that both the binding energies and the excitation energy can be fitted with remaining residual error about 5% of the average error from the truncation. Numerically, the rms initial error associated with our Hamiltonian is 3.4 MeV and the remaining residual error is 0.16 MeV. This is comparable to the empirical error found in $sd$-shell interacting shell model fits to experimental data\cite{br06}.

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