Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He

TL;DR

This paper implements the 8-nucleon Yakubovsky formalism for 8He within a 5-body cluster model to analyze its bound-state structure, providing a framework for numerical calculations of halo nuclei.

Contribution

It introduces a novel implementation of the 8-nucleon Yakubovsky equations for 8He in a 5-body model, simplifying to 6-nucleon equations under certain conditions.

Findings

Derived coupled Yakubovsky equations for 8He

Reduced equations to 6He case by removing certain interactions

Provided momentum space configurations for numerical analysis

Abstract

In order to study the bound-state structure of the Helium halo nuclei, the 8-nucleon Yakubovsky formalism has been implemented for 8He in a 5-body sub-cluster model, i.e. alpha+n+n+n+n. In this case, the 8-nucleon Yakubovsky equations has been obtained in the form of two coupled equations, based on the two independent components. In addition, by removing the contribution interactions of the 8 and 7s bound nucleons in the formalism, the obtained equations explicitly reduce to the 6-nucleon Yakubovsky equations for 6He, in the case of effective 3-body model, i.e. alpha+n+n. In view of the expectation for the dominant structure of 8He, namely an inert alpha-core and four loosely-bound neutrons, Jacobi configurations of the two components in momentum space have been represented to provide technicalities which were considered useful for a numerical performance, such as bound-state calculations and momentum density distributions for halo-bound neutrons.