Two-cluster approach to the properties of one- and two-neutron-halo nuclei

TL;DR

This paper introduces a simplified two-cluster model with harmonic oscillator wave functions and a renormalization factor to accurately describe the properties of one- and two-neutron halo nuclei, matching experimental data.

Contribution

It presents a novel approximate method combining oscillator wave functions and a renormalization factor for modeling neutron halo nuclei ground states.

Findings

Accurately reproduces dipole strength distributions.

Matches experimental Coulomb dissociation cross sections.

Provides a simple yet effective modeling approach.

Abstract

In this work, we present a new approximate method for obtaining simple wave functions for the ground state of exotic nuclei with a neutron halo. We model the system as a two-cluster structure, treating the core and halo as inert objects. The relative wave function is expressed as a combination of simple harmonic oscillator states, with the oscillator parameter determined from the separation energy. Since these wave functions lack the expected exponential decay, we introduce a simple multiplicative renormalization factor based on the nuclear root mean square radius. This approach, combining oscillator wave functions and the renormalization factor, is then applied to calculate dipole strength distributions $dB(E1,\varepsilon)/d\varepsilon$ and Coulomb dissociation cross section $d\sigma(E1,\varepsilon)/d\varepsilon$ for several $1n$- and $2n$-halo nuclei. The results show excellent agreement with the available experimental data.