# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1904.12451