Author:
Kalzhigitov N.,Kurmangaliyeva V.O.,Takibayev N.Zh.,Vasilevsky V.S.
Abstract
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.
Publisher
National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)
Subject
General Physics and Astronomy
Reference39 articles.
1. 1. D.R. Tilley, J.H. Kelley, J.L. Godwin, D.J. Millener, J.E. Purcell, C.G. Sheu, H.R. Weller. Energy levels of light nuclei A = 8, 9, 10. Nucl. Phys. A 745, 155 (2004).
2. 2. G.F. Filippov, I.P. Okhrimenko. Use of an oscillator basis for solving continuum problems. Sov. J. Nucl. Phys. 32, 480 (1981).
3. 3. G.F. Filippov. On taking into account correct asymptotic behavior in oscillator-basis expansions. Sov. J. Nucl. Phys. 33, 488 (1981).
4. 4. Y.A. Lashko, G.F. Filippov, V.S. Vasilevsky. Dynamics of two-cluster systems in phase space. Nucl. Phys. A 941, 121 (2015).
5. 5. A.S. Solovyev, S.Y. Igashov, Y.M. Tchuvil'sky. Radiative Capture Processes in Multi-Size-Scale Algebraic Version of Resonating Group Model. J. Phys. Conf. Ser. 863, 012015 (2017).