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The upper and lower bounds of energy for nuclear and coulomb few-body systems

  • Physics of Elementary Particles and Atomic Nucleus. Theory
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Abstract

The upper and lower bounds of energy are found for three-, four-, and five-particle nuclear and Coulomb systems in the framework variational method with the trial functions of exponential and Gaussian types. The two-sided estimates of energy not only allow one to fix the limits for the exact value of energy but also provide an additional opportunity for extrapolation of the variational estimates to the exact value of energy. This allows one to reduce the volume of calculations by shortening the number of trial functions without the loss of accuracy.

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Original Russian Text © A.G. Donchev, S.A. Kalachev, N.N. Kolesnikov, V.I. Tarasov, 2007, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2007, No. 1 (137), pp. 69–77.

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Donchev, A.G., Kalachev, S.A., Kolesnikov, N.N. et al. The upper and lower bounds of energy for nuclear and coulomb few-body systems. Phys. Part. Nuclei Lett. 4, 39–45 (2007). https://doi.org/10.1134/S1547477107010074

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  • DOI: https://doi.org/10.1134/S1547477107010074

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