On previous and present investigations of resonance gamma-ray interaction with nuclei at the Institute of Theoretical and Experimental Physics (ITEP, Moscow)

Давыдов, А. В.

doi:10.1134/s1063778806100036

Cited by 2 publications

(3 citation statements)

References 18 publications

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“…Here, 2 F 1 (−n β , −n β − p 2 ; −2n β − (q+p) 2 ; 1 + aβ 2 ) and 1 F 1 (−n γ , 1 + |m|, γ 2 g ) are hypergeometrical functions, D(θ i ) is the Wigner function, ϕ(x) is the wave function of single-particle state, A mτ LK are the coefficients of the expansion of the wave function [31], and N n β with N n γ ,|m| are normalization constants of radial and angular wave functions, respectively.…”

Section: Energy Levels Wave Functions and E2 Transition Probabilitiesmentioning

confidence: 99%

Coriolis contribution to excited states of odd-mass nuclei with different deformation-dependent mass coefficients

Hammou¹,

Oulne²

2020

J. Phys. G: Nucl. Part. Phys.

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Within the collective Bohr Hamiltonian, the adoption of a mass tensor as a function of collective coordinates has demonstrated its importance for describing the structure of nuclei. On the other hand, for odd-mass nuclei, the Coriolis interaction between the rotational and single-particle motions affects significantly the structure of nuclear excited states. In the framework of a recently developed extended Bohr Hamiltonian, by considering the deformation-dependent mass formalism whith different mass parameters for the rotation and the two β and γ vibrations and taking into account the Coriolis contribution, we investigate the bands structure of the 173Yb, 163Dy, 155Eu and 153Eu nuclei. Excited-state energies and B(E2) transition probabilities are calculated and compared with the available experimental data. Besides, we investigate the effect of DDMF and the Coriolis force on nuclear observables.

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Section: Energy Levels Wave Functions and E2 Transition Probabilitiesmentioning

confidence: 99%

Coriolis contribution to excited states of odd-mass nuclei with different deformation-dependent mass coefficients

Hammou¹,

Oulne²

2020

J. Phys. G: Nucl. Part. Phys.

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“…Here we make the following important assumptions originally imposed in [9]: (i) The quantum number K takes only even values (see also [6,10,12]). Then in (13) the sum over K runs from 0 to I in steps of 2.…”

Section: Triaxial Quadrupole-octupole Rotor In Adiabatic Approximationmentioning

confidence: 99%

“…Also, it is considered that the axial deformations play the leading role in the nuclear rotation collectivity, whereas the non-axial ones may be responsible for some specific properties of the spectra. Collective excited states with positive and/or negative parities in the cases of axial and non-axial deformations are explained by the early models [2]- [12]. In [4] an adiabatic approximation (separation of rotation motion from vibrations) was applied, providing a possibility for description of positive-parity spectra of even-even nuclei for which the presence of non-axial quadrupole deformation is assumed.…”

Section: Introductionmentioning

confidence: 99%

Application of the triaxial quadrupole–octupole rotor to the ground and negative-parity levels of actinide nuclei

Nadirbekov

Minkov

Strecker

et al. 2016

Int. J. Mod. Phys. E

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In this work we examine the possibility to describe yrast positive-and negativeparity excitations of deformed even-even nuclei through a collective rotation model in which the nuclear surface is characterized by triaxial quadrupole and octupole deformations. The nuclear moments of inertia are expressed as sums of quadrupole and octupole parts. By assuming an adiabatic separation of rotation and vibration degrees of freedom we suppose that the structure of the positive-and negative-parity bands may be determined by the triaxial-rigid-rotor motion of the nucleus. By diagonalizing the Hamiltonian in a symmetrized rotor basis with embedded parity we obtain a model description for the yrast positive-and negative-parity bands in several actinide nuclei. We show that the energy displacement between the opposite-parity sequences can be explained as the result of the quadrupole-octupole triaxiality.

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On previous and present investigations of resonance gamma-ray interaction with nuclei at the Institute of Theoretical and Experimental Physics (ITEP, Moscow)

Cited by 2 publications

References 18 publications

Coriolis contribution to excited states of odd-mass nuclei with different deformation-dependent mass coefficients

Coriolis contribution to excited states of odd-mass nuclei with different deformation-dependent mass coefficients

Application of the triaxial quadrupole–octupole rotor to the ground and negative-parity levels of actinide nuclei

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