Effect of deformation on the valence shell occupancies of 74Ge, 76Ge, 76Se and 78Se

Elsharkawy, H. M.; Yousef, Mohamed

doi:10.1016/j.nuclphysa.2016.12.006

Cited by 4 publications

(1 citation statement)

References 28 publications

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“…The need to the expansion coefficients is not restricted to nuclear theory applications, but to many other fields, like atomic or molecular structural theories [8][9][10][11][12]. Since most of nuclei are considered as deformed systems, the expansion of deformed 3D-HO wavefunctions in terms of spherical wavefunctions is necessary in many nuclear structure calculations [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Expansion of deformed harmonic oscillator wavefunctions in terms of spherical wavefunction bases: deformation effects

Yousef¹,

Elsharkawy²

2020

Phys. Scr.

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The interbasis expansion of deformed cylindrical 3D harmonic oscillator (HO) wavefunctions in terms of spherical wavefunction bases is introduced. The spatial overlap integral is rewritten in a simplified form and presented in terms of the axis ratio of the deformed nucleus. Deformed nuclear spheroidal shapes are considered, including both quadrupole and hexadecapole deformations. The effect of deformation on the oscillator lengths of deformed 3D-HO, and in turn on the spatial overlap coefficients, is discussed. For the description of the geometrical shape of deformed nuclear systems, the collective and extended Nilsson models for surface parametrization are used.

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Section: Introductionmentioning

confidence: 99%

Expansion of deformed harmonic oscillator wavefunctions in terms of spherical wavefunction bases: deformation effects

Yousef¹,

Elsharkawy²

2020

Phys. Scr.

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Matrix elements of the two-neutrino double beta decay of 76 Ge using deformed BCS and Lipkin–Nogami approaches

2018

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Nuclear structure features in ^72-80Se isotopes

Hady

Muttalb

2020

J. Phys.: Conf. Ser.

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Interacting boson model (IBM – 1 and IBM – 2) have been used to perform a whole studying for 34 72 − 80 S e isotopes. The low lying positive party states, dynamic symmetries, mixed symmetry states MSS, reducing electric quadruple transition probabilities B(E2), branching ratio, quadruple momentum Q 2 1 + , reducing magnetic dipole transition probability B(M1), mixing ratio δ(E2/M1), reducing electric monopole transition probability B(E0), and X(E0/E2) ratio have been investigated. U(5) features are the dominant in 34 72 − 80 S e with addition of a 2 small effect of parameter started from 34 74 S e to 34 80 S e isotopes, energy ratios show that 34 72 S e isotopes as the nearest isotopes to typical vibrational limit while 34 74 − 80 S e isotopes tend towards the rotational region that lied on U(5) - SU(3), leg of “Casten’s triangle”. Spin and party for many energy levels and electromagnetic transition probability are confirmed. The mixing symmetry states in 34 72 − 78 S e isotopes are slowly increased with ζ2 while there is no clear effected in 34 80 S e isotope. The calculated branching ratios B(E2), B(M1) mixing ratios δ(E2/M1), B(E0), and X(E0/E2) depend in comparisons with fewer available experimental data. The results are in acceptable agreement; to completed a perfect comparison, more experimental investigations are still needed to these nuclei. 34 72 − 80 S e isotopes have small values of electric quadruple moment of 2 1 + state.

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Effect of deformation on the valence shell occupancies of 74Ge, 76Ge, 76Se and 78Se

Cited by 4 publications

References 28 publications

Expansion of deformed harmonic oscillator wavefunctions in terms of spherical wavefunction bases: deformation effects

Expansion of deformed harmonic oscillator wavefunctions in terms of spherical wavefunction bases: deformation effects

Matrix elements of the two-neutrino double beta decay of 76 Ge using deformed BCS and Lipkin–Nogami approaches

Nuclear structure features in ^72-80Se isotopes

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Effect of deformation on the valence shell occupancies of 74Ge, 76Ge, 76Se and 78Se

Cited by 4 publications

References 28 publications

Expansion of deformed harmonic oscillator wavefunctions in terms of spherical wavefunction bases: deformation effects

Expansion of deformed harmonic oscillator wavefunctions in terms of spherical wavefunction bases: deformation effects

Matrix elements of the two-neutrino double beta decay of 76 Ge using deformed BCS and Lipkin–Nogami approaches

Nuclear structure features in 72-80Se isotopes

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Nuclear structure features in ^72-80Se isotopes