Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6899125 | Karbala International Journal of Modern Science | 2017 | 15 Pages |
Abstract
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 spin-independent 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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Chemistry
Chemistry (General)
Authors
E. Ahmadi Pouya, A.A. Rajabi,