Calculation of oscillator (Talmi–Moshinsky–Smirnov) brackets

Efros, V.D.

doi:10.1016/j.cpc.2021.108005

Cited by 4 publications

(1 citation statement)

References 30 publications

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“…the existence of three symmetry planes mentioned above) are used to simplify the calculations of the Hamiltonian matrix. To evaluate the effects of different deformation degrees of freedom on WS wave functions, the transformation coefficients between harmonic oscillator wave functions in different coordinate representations are derived and the corresponding codes are implanted, see the details in [54,57]. For instance, we express the WS wave functions, calculated by the cylindrical HO basis, in the spherical HO basis |NljΩ > by the Moshinsky transformation (e.g.…”

Section: Theoretical Methodsmentioning

confidence: 99%

Revisiting the island of hexadecapole-deformation nuclei in the A ≈ 150 mass region: focusing on the model application to nuclear shapes and masses

Wei,

Wang,

Zhang

et al. 2024

Commun. Theor. Phys.

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Based on the potential-energy-surface calculation, the impact of different deformation degrees of freedom on single-particle structure and binding energies in nuclei around $^{152}$Nd, located on one of the hexadecapole-deformation islands, is analyzed in a multi-dimensional deformation space. Various energy maps, curves and tables are presented to indicate nuclear properties. The calculated equilibrium deformations and binding energies with different potential parameters are compared with experimental data and other theories. It is found that the inclusion of the hexadecapole deformations, especially the axial one, can improve the theoretical description of both nuclear shapes and masses. In addition, our calculated potential-energy-curve shows that there exists a critical deformation-point $\beta_2 \approx 0.4$ -- the triaxial (hexadecapole) deformation-effect can be neglectable but the hexadecapole (triaxial) one plays an important role before (after) such critical point.

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Section: Theoretical Methodsmentioning

confidence: 99%