Scaling functions of two-neutron separation energies of $^{20}C$ with finite range potentials

TL;DR

This paper investigates the effects of finite-range interactions on the scaling behavior of two-neutron separation energies in the exotic nucleus $^{20}C$, using a three-body Faddeev approach with Yamaguchi potentials.

Contribution

It introduces a detailed analysis of range corrections in Efimov physics for the $^{20}C$ nucleus using finite-range potentials within a three-body formalism.

Findings

Finite-range effects modify the scaling functions of two-neutron separation energies.

The study provides insights into the role of interaction range in halo nuclei.

Results highlight the importance of considering finite-range potentials for accurate nuclear modeling.

Abstract

The behaviour of an Efimov excited state is studied within a three-body Faddeev formalism for a general neutron-neutron-core system, where neutron-core is bound and neutron-neutron is unbound, by considering zero-ranged as well as finite-ranged two-body interactions. For the finite-ranged interactions we have considered a one-term separable Yamaguchi potential. The main objective is to study range corrections in a scaling approach, with focus in the exotic carbon halo nucleus $^{20}C$.