Abstract

The convergence of bound-state calculations performed via the oscillator basis expansions by means of locating \(S\)-matrix poles for bound states within the HORSE and SS-HORSE approaches is examined. The convergence in question is studied both in the case of a sharp truncation of the potential matrix in the harmonic-oscillator space and in the case of smoothed matrix elements of the potential. As a result, a new method of extrapolation to the case of the infinite-dimensional model space is proposed. This method makes it possible to predict, on the basis of variational calculations, binding energies and asymptotic normalization coefficients for bound states to a high accuracy and to estimate the uncertainties of these predictions.

中文翻译：

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关于振荡器基础计算的收敛性

摘要

通过在HORSE和SS-HORSE方法内定位约束状态的\（S \）-矩阵极点，研究了通过振荡器基础扩展执行的约束状态计算的收敛性。无论是在谐波振荡器空间中电位矩阵被急剧截断的情况下，还是在电位的矩阵元素被平滑化的情况下，都将研究所讨论的收敛性。结果，提出了一种对无穷维模型空间进行外推的新方法。该方法使得可以基于变分计算来高精度地预测束缚态的束缚能和渐近归一化系数，并估计这些预测的不确定性。