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تسجيل مستخدم جديدUniversality in the neutron$-^{19}$C scattering using finite range separable interactions
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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 $kcot(delta_0^R)$ and effective-range parameters.
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