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arXiv · 1710.10767

Extrapolation of scattering data to the negative-energy region II

L. D. Blokhintsev·A. S. Kadyrov·A. M. Mukhamedzhanov·D. A. Savin
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Abstract

A problem of analytical continuation of scattering data to the negative-energy region to obtain information about bound states is discussed within an exactly solvable potential model. This work is continuation of the previous one by the same authors [L. D. Blokhintsev et al., Phys. Rev. C 95, 044618 (2017)]. The goal of this paper is to determine the most effective way of analytic continuation for different systems. The $d+α$ and $α+^{12}$C systems are considered and, for comparison, an effective-range function approach and a recently suggested $Δ$-method [O. L. Ram\'ırez Suárez and J.-M. Sparenberg, Phys. Rev. C 96, 034601 (2017)] are applied. We conclude that the $Δ$-method is more effective for heavier systems with large values of the Coulomb parameter, whereas for light systems with small values of the Coulomb parameter the effective-range function method might be preferable.

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L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, D. A. Savin. 2017-10-30. Extrapolation of scattering data to the negative-energy region II. https://doi.org/10.1103/physrevc.97.024602

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