Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yakubovsky scheme to study the 4- and 5-nucleon systems in the case of
  alpha-state structure with spin-dependent nucleon-nucleon potentials   In this project, we have investigated the 5-nucleon model system in the
picture of the specific alpha-state structure, by extending the Yakubovsky
scheme with the inclusion of the spin and isospin degrees of freedom. The
Yakubovsky formalism for the 5-nucleon system in the effective alpha-neutron
attractive model leads to a set of two coupled equations, based on two relevant
alpha-nucleon sub-cluster components. To this regard, by switching off the
fifth nucleon interactions, the 5-nucleon Yakubovsky equations can be reduced
to a typical 4-nucleon problem. To calculate the 5- and 4-nucleon bound state
equations, the coupled equations are projected in the momentum space in terms
of the Jacobi momenta. In the calculations two different spin-dependent and one
spinindependent nucleon-nucleon potential types are dedicated, such as
Afnan-Tang S3, Malfliet-Tjon I/III and Volkov potentials,respectively. The some
obtained binding energy differences between the 4-nucleon system in the
alpha-state and the 5-nucleon system in the case of alpha-nucleon structure
demonstrating the effective interaction between the alpha and an attractive
neutron. The obtained results for the effective interaction are consistent
either for spin-independent and spin-dependent interactions. Also,the binding
energy results are in excellent compatibility with the achieved results by
other techniques.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom