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

Received: 28 May 2019     Accepted: 6 August 2019     Published: 10 September 2019
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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.

Published in American Journal of Modern Physics (Volume 8, Issue 3)
DOI 10.11648/j.ajmp.20190803.12
Page(s) 40-49
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

8-Nucleon Yakubovsky Formalism, Halo Nucleus Helium-8, Effective α-core Structure, Jacobi Configurations, Bound State Problem, Halo-bound Neutrons

References
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    Eskandar Ahmadi Pouya, Ali Akbar Rajabi. (2019). Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He. American Journal of Modern Physics, 8(3), 40-49. https://doi.org/10.11648/j.ajmp.20190803.12

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    ACS Style

    Eskandar Ahmadi Pouya; Ali Akbar Rajabi. Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He. Am. J. Mod. Phys. 2019, 8(3), 40-49. doi: 10.11648/j.ajmp.20190803.12

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    AMA Style

    Eskandar Ahmadi Pouya, Ali Akbar Rajabi. Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He. Am J Mod Phys. 2019;8(3):40-49. doi: 10.11648/j.ajmp.20190803.12

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  • @article{10.11648/j.ajmp.20190803.12,
      author = {Eskandar Ahmadi Pouya and Ali Akbar Rajabi},
      title = {Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He},
      journal = {American Journal of Modern Physics},
      volume = {8},
      number = {3},
      pages = {40-49},
      doi = {10.11648/j.ajmp.20190803.12},
      url = {https://doi.org/10.11648/j.ajmp.20190803.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20190803.12},
      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.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus 8He
    AU  - Eskandar Ahmadi Pouya
    AU  - Ali Akbar Rajabi
    Y1  - 2019/09/10
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ajmp.20190803.12
    DO  - 10.11648/j.ajmp.20190803.12
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 40
    EP  - 49
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20190803.12
    AB  - 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.
    VL  - 8
    IS  - 3
    ER  - 

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Author Information
  • Physics Department, Shahrood University of Technology, Semnan, Iran

  • Physics Department, Shahrood University of Technology, Semnan, Iran

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