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We have performed a systematic study of the ground state for even-even 1,002nuclei in which 28 octupole-deformed nuclei are found. The interplay betweenthe spatial deformation and the pairing correlation, plays important roles innuclear structure. Our model is based on the Skyrme Hartree-Fock plus BCS modelrepresented in the three-dimensional Cartesian coordinate space which candescribe any kind of nuclear shape. The quadrupole and octupole deformed nucleiappear in the mass region with characteristic neutron and proton numbers whichare consistent with previous studies. In our results, there appear only pearshape ($\beta_{30}$) in the octupole deformed nuclei. We investigate thepotential energy surfaces as functions of the octupole deformations($\beta_{3m}, m = 0, 1, 2, 3$), which tells us that. $^{220}$Rn has also localminima in the $\beta_{31}$ and $\beta_{32}$ potential energy surfaces.

Octupole deformation in the nuclear chart based on the 3D Skyrme Hartree-Fock plus BCS model