Abstract
The Parentage Scheme of Summarization to the N-body symmetrized basis construction (1), necessary for the description of the structural characteristics and decay reactions of the hypernuclear and nuclear systems with arbitrary amount of particles, is applied to the solution of five-body problem in hypernuclear physics. Hypernucleus �� � � as a system of four nucleons and one hyperon is investigated by the use of the Hyperspherical Function Method in momentum space. The dependence of the structure characteristics and wave functions on the types of nucleon-nucleon and hyperon-nucleon interaction potentials is studied. Mean square�� � − � � �and�� − � distances and the binding energies for the �� and ��� � � are obtained.
Highlights
The principal information about nucleon-nucleon and hyperon-nucleon interactions may be obtained by the microscopic investigation of the structure and decays of light hypernuclei within the framework of the Hyperspherical Function Method (HFM)
The five-particle hypernucleus ݁ܪఒହ as a system of four nucleons and one hyperon is investigated by the use of the Hyperspherical Function Method in momentum representation
The obtained results demonstrate good convergence taking into account first two harmonics
Summary
The principal information about nucleon-nucleon and hyperon-nucleon interactions may be obtained by the microscopic investigation of the structure and decays of light hypernuclei within the framework of the Hyperspherical Function Method (HFM). Five-body hyperspherical functions Ψሾఱሿഥరఔഥభమయరሺ߱ሻ, symmetrized with respect to four identical particles, are constructed in (4+1) configuration by the use of the Parentage Scheme of Symmetrization [1].
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