Resonance structure of8be within the two-cluster resonating group method
Kalzhigitov N. Kurmangaliyeva V.O. Takibayev N.Zh. Vasilevsky V.S.
12 March 2023National Academy of Sciences of Ukraine
Ukrainian Journal of Physics
2023#68Issue 13 - 18 pp.
A microscopic two-cluster model is applied to study the elastic alpha-alpha scattering and the resonance structure of 8Be. The model is an algebraic version of the Resonating Group Method (RGM), which involves the complete set of oscillator functions to expand the wave function of a two-cluster system. The interaction of nucleons inside each cluster and the interaction between clusters are determined by the well-known semirealistic nucleon-nucleon potentials which are employed in calculations. They differ by a size of the core at small distances between nucleons and realize the strong, moderate, and weak cores. They allow us to study dependence of calculated quantities on the shape of a nucleon-nucleon potential. The detailed analysis of resonance wave functions is carried out in the oscillator, coordinate, and momentum spaces. Effects of the Pauli principle on the wave functions of the 8Be continuous spectrum states are thoroughly studied.
Cluster model , Pauli principle , Resonance states , Resonating group method
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Al-Farabi Kazakh National University, 71 al-Farabi Ave, Almaty, 050040, Kazakhstan
Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine, 14b, Metrolohichna Str, Kyiv, 03143, Ukraine
Al-Farabi Kazakh National University
Bogolyubov Institute for Theoretical Physics
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