Erratum to “Neutron–19C scattering: Emergence of universal properties in a finite range potential” [Phys. Lett. B 764 (2017) 196]

Universality in the Neutron– $$^{\mathbf {19}}$$ 19 C Scattering Using Finite-Range Separable Interactions

“…As this observable is expected to be quite sensible to the range, we found also appropriate to further discuss here some relevant results related to range effects and corresponding scaling reported in Ref. [11]. We have noticed that the scaling of the position of the pole in k cot δ R 0 and the effective range parameters reproduces universal characteristics already found within the zero-range model under the realm of the Efimov physics.…”

“…It remains the question how much such universal features are preserved when using finite-range potentials, considering the range of the n − c and n − n interactions, when the two-neutron separation energy in 20 C is kept fixed. Therefore, in a recent work [11], we have performed a deeper investigation on the behavior of the low-energy pole k cot δ 0 for the n− 19 C scattering, beyond the zero-range approach used in Ref. [12], by considering a finite-range potential, which was chosen separable with Yamaguchi form.…”

“…By reporting the main results given in Ref. [11], where the formalism is detailed, we found appropriate in this communication to introduce an extended analysis of our results on the n− 19 C elastic cross sections computations. The analysis is done with the assumption that the required separation energy for two neutrons in 20 C is fixed to an accepted experimental value, E nnc ≡ E20 C = −3.5 MeV.…”

“…Formalism and notation -For the formalism, we follow the standard one for the elastic scattering amplitude of a neutron in the bound neutron-core subsystem, which is detailed in Refs. [11,12]. For the two-body n − n and n − c interactions, we consider separable expressions, with strengths and ranges adjusted by the n − n virtual-state energy (E nn = −143 keV) and n − c bound-state energy (E nc = E19 C ), respectively, such that the three-body ground-state binding energy remains fixed to (E20 C = − 3.5 MeV).…”

Scattering of cold $^4$He on $^4$He$-^{6,7}$Li and $^4$He$-^{23}$Na molecules

“…In the formalism, following Ref. [42], we assume units such that = 1 (with energies given in mK), with m ≡ m α = m4 He and a mass ratio which is defined by A ≡ m β /m α , such that µ αα = m/2 and µ αβ = Am/(A + 1) are the reduced masses for the αα and αβ subsystems, respectively, with the corresponding three-body reduced masses given by µ α(αβ) = m(A + 1)/(A + 2) for the α − (αβ); and µ β(αα) = m(2A)/(A + 2) for the β − (αα). The bound-state energies for the two-and three-body systems are given by E αα ≡ −B αα , E αβ ≡ −B αβ and E 3 = −B 3 , respectively; with the energy of the s−wave elastic colliding particle given by E k .…”