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On the Convergence of Oscillator Basis Calculations

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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.

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Funding

This work was supported by Russian Foundation for Basic Research (project no. 20-02-00357) and by the Ministry of Science and Higher Education of Russian Federation (project no. 0818-2020-0005) and was performed with using resources of Shared Services Center ‘‘Data Center of Far Eastern Branch, Russian Academy of Sciences.’’

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Shirokov, A.M., Mazur, A.I. & Kulikov, V.A. On the Convergence of Oscillator Basis Calculations. Phys. Atom. Nuclei 84, 131–143 (2021). https://doi.org/10.1134/S1063778821020149

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  • DOI: https://doi.org/10.1134/S1063778821020149

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