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arXiv · 1904.12451

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

Eskandar Ahmadi Pouya·Ali Akbar Rajabi
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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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Eskandar Ahmadi Pouya, Ali Akbar Rajabi. 2019-04-29. Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He. https://doi.org/10.11648/j.ajmp.20190803.12

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