Nuclear Intrinsic Quadrupole Moments and Deformation Parameters

Löbner, K. E. G.; Vetter, Martin; Hönig, V.

doi:10.1016/s0092-640x(18)30059-7

Cited by 340 publications

(81 citation statements)

References 34 publications

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“…In this study, the single particle energies have been calculated using deformed Woods-Saxon potential [9,10]. For the neutrons and the protons all energy levels occupied in the N= 2−7 shells from the bottom up to the 6 MeV in the nuclear potential well have been taken into account.…”

Section: Numerical Calculations and Discussionmentioning

confidence: 99%

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Quadrupole Moments and Deformation Parameters of the^166-180Hf,^180-186W and^152-168Sm Isotopes

2015

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In this study, the quadrupole moments of the 166−180 Hf, 180−186 W and 152−168 Sm isotopic chains have been calculated by using the Woods-Saxon mean field potential in the framework of the superfluid model of the atomic nucleus. Our calculation showed that the deformation parameter mainly used in literature overestimates the actual values of deformation parameters β2 by 10% for the well-deformed rare-earth nuclei. Besides, the contribution of the hexadecapole deformation to all quadrupole moments in question is smaller than 0.01 barn. The results showed that the theoretical values of the quadrupole moments are in good agreement with the previous theoretical works which have been done only for Sm isotopes and the corresponding experimental data for nuclei in question. The best theoretical value for quadrupole moment has been reached for the 152 Sm isotope.

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Section: Numerical Calculations and Discussionmentioning

confidence: 99%

“…It is well known that the shape of the axially symmetric deformed nucleus is described by the deformation parameter (β 2 ) directly connected to the quadrupole moment (Q 0 ) which represents the homogeneous charge distribution [9,10].…”

Section: Methodsmentioning

confidence: 99%

Quadrupole Moments and Deformation Parameters of the^166-180Hf,^180-186W and^152-168Sm Isotopes

2015

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“…We can substitute equation (16) into (17) to relate the lifetime to the quadrupole moment Q 0 [13]. In addition to this the quadrupole moment can be related to the deformation parameter β 2 by equation (18) [14] and thus the deformation parameter can be related to the lifetime of the excited state.…”

Section: B(e2) By Equation (16)mentioning

confidence: 99%

Basic Nuclear Properties (2001-2023)

Lim¹

2000

Problems and Solutions on Atomic, Nuclear and Particle Physics

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“…We therefore could not expect a calculation of this type to give exact agreement. There is no experimental value of ß for 234Np but for the daughter nucleus 234U the value of ß is [9] 0.22. Is is noted that nuclei around mass 234 have roughly this value.…”

Section: Mfx103mentioning

confidence: 99%

The β⁺ Decay of ²³⁴Np and Other Isospin-Forbidden 0⁺→ 0⁺ Fermi Transitions

Yap

Saw

1984

Zeitschrift Für Naturforschung A

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Although experimental values of the Fermi nuclear matrix elements vary widely from about 1 x 10~3 to 40 x 10"3 for isospin-forbidden 0+ 0+ ß transitions, theoretical calculations using the Coulomb potential and Nilsson wave functions yielded values of MF in reasonably good agreement, except that of 234Np. However, our calculation of MF for this decay as a function of the deformation parameter ß yielded a value of MF in good agreement with experiment for values of ß between 0.1 and 0.2.

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Nuclear Intrinsic Quadrupole Moments and Deformation Parameters

Cited by 340 publications

References 34 publications

Quadrupole Moments and Deformation Parameters of the^166-180Hf,^180-186W and^152-168Sm Isotopes

Quadrupole Moments and Deformation Parameters of the^166-180Hf,^180-186W and^152-168Sm Isotopes

Basic Nuclear Properties (2001-2023)

The β⁺ Decay of ²³⁴Np and Other Isospin-Forbidden 0⁺→ 0⁺ Fermi Transitions

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Nuclear Intrinsic Quadrupole Moments and Deformation Parameters

Cited by 340 publications

References 34 publications

Quadrupole Moments and Deformation Parameters of the166-180Hf,180-186W and152-168Sm Isotopes

Quadrupole Moments and Deformation Parameters of the166-180Hf,180-186W and152-168Sm Isotopes

Basic Nuclear Properties (2001-2023)

The β+ Decay of 234Np and Other Isospin-Forbidden 0+→ 0+ Fermi Transitions

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Quadrupole Moments and Deformation Parameters of the^166-180Hf,^180-186W and^152-168Sm Isotopes

Quadrupole Moments and Deformation Parameters of the^166-180Hf,^180-186W and^152-168Sm Isotopes

The β⁺ Decay of ²³⁴Np and Other Isospin-Forbidden 0⁺→ 0⁺ Fermi Transitions