Bulg. J. Phys. vol.46 no.4 (2019), pp. 337-346

Connection between Elliott SU(3) and Spherical Shell Model Bases

A. Martinou1, N. Minkov2, S. Sarantopoulou1, S. Peroulis1, I.E. Assimakis1, D. Bonatsos1
1Institute of Nuclear and Particle Physics, National Centre for Scientific Research "Demokritos'', GR-15310 Aghia Paraskevi, Attiki, Greece
2Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, 1784 Sofia, Bulgaria
Abstract. In the Elliott SU(3) symmetry scheme the single particle basis is derived from the isotropic harmonic oscillator Hamiltonian in the Cartesian coordinate system. These states are transformed into the solutions of the same Hamiltonian within the spherical coordinate system. Then the spin-orbit coupling can be added in a straightforward way. The outcome is a transformation between the Elliott single particle basis and the spherical shell model space.

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