Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He
American Journal of Modern Physics
Volume 8, Issue 3, May 2019, Pages: 40-49
Received: May 28, 2019; Accepted: Aug. 6, 2019; Published: Sep. 10, 2019
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Authors
Eskandar Ahmadi Pouya, Physics Department, Shahrood University of Technology, Semnan, Iran
Ali Akbar Rajabi, Physics Department, Shahrood University of Technology, Semnan, Iran
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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. α+n+n+n+n. In this case, the 8-nucleon Yakubovsky equations have 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 7’s 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. α+n+n. In view of the expectation for the dominant structure of 8He, namely an inert α-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.
Keywords
8-Nucleon Yakubovsky Formalism, Halo Nucleus Helium-8, Effective α-core Structure, Jacobi Configurations, Bound State Problem, Halo-bound Neutrons
To cite this article
Eskandar Ahmadi Pouya, Ali Akbar Rajabi, Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He, American Journal of Modern Physics. Vol. 8, No. 3, 2019, pp. 40-49. doi: 10.11648/j.ajmp.20190803.12
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Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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