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arXiv · 1611.09204

Universality in the neutron$-^{19}$C scattering using finite range separable interactions

M. A. Shalchi·M. T. Yamashita·M. R. Hadizadeh·T. Frederico·Lauro Tomio
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Abstract

We report a study on the low-energy properties of the elastic $s-$wave scattering of a neutron ($n$) in the carbon isotope $^{19}$C near the critical condition for the occurrence of an excited Efimov state in the three-body $n-n-^{18}$C system. For the separation energy of the two halo neutrons in $^{20}$C we use the available experimental data. We also investigate to which extent the universal scaling laws, strictly valid in the zero-range limit, will survive when using finite-range interactions. By allowing to vary the $n-^{18}$C binding energy, a scaling behavior for the real and imaginary parts of the $s-$wave phase-shift $\delta_0$ is verified, emerging some universal characteristics given by the pole-position of $k\cot(\delta_0^R)$ and effective-range parameters.

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M. A. Shalchi, M. T. Yamashita, M. R. Hadizadeh, T. Frederico, Lauro Tomio. 2016-11-28. Universality in the neutron$-^{19}$C scattering using finite range separable interactions. https://doi.org/10.1007/s00601-017-1220-7

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