English

Extrapolation of scattering data to the negative-energy region II

Nuclear Theory 2018-02-14 v1

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+αd+\alpha and α+12\alpha +^{12}C systems are considered and, for comparison, an effective-range function approach and a recently suggested Δ\Delta-method [O. L. Ram\'{\i}rez Su\'arez and J.-M. Sparenberg, Phys. Rev. C 96, 034601 (2017)] are applied. We conclude that the Δ\Delta-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.

Keywords

Cite

@article{arxiv.1710.10767,
  title  = {Extrapolation of scattering data to the negative-energy region II},
  author = {L. D. Blokhintsev and A. S. Kadyrov and A. M. Mukhamedzhanov and D. A. Savin},
  journal= {arXiv preprint arXiv:1710.10767},
  year   = {2018}
}