Implementation of the 8-Nucleon Yakubovsky Formalism for Halo Nucleus <sup>8</sup>He

Eskandar Ahmadi Pouya; Ali Akbar Rajabi

doi:doi:10.11648/j.ajmp.20190803.12

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

Eskandar Ahmadi Pouya, Ali Akbar Rajabi

Published in American Journal of Modern Physics (Volume 8, Issue 3)

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), 2024. 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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APA Style

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

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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APA Style

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download