The dynamical effects in the ground state of nuclei

Nerlo-Pomorska, B.; Pomorski, K.

doi:10.1007/bf01413837

Cited by 9 publications

(5 citation statements)

References 10 publications

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“…In transitional nuclei, where the potential energy around the ground state minimum is very flat, like observed in our calculations in the heaviest Pt nuclei or in 184,186 Hg isotopes, dynamical effects can increase the magnitude of the quadrupole moment (see ref. [57]). A large B(E2) transition probability corresponding to an electric quadrupole moment could be a fingerprint for super-deformed isomers.…”

Section: Discussionmentioning

confidence: 99%

“…Looking at these data one has to bear in mind that the absence of a stable nonzero deformation does not mean that the corresponding electric moment is equal to zero. The role of dynamical effects could be significant when the stiffness related to this mode is small [57]. For example small quadrupole moments measured in some Pb isotopes (see red squares in fig.…”

Section: Electric Quadrupole Momentsmentioning

confidence: 99%

“…So, the non-zero value of Q 30 in 226 Ra can be obtained after performing a dynamical calculation like done in ref. [57].…”

Section: Electric Quadrupole Momentsmentioning

confidence: 99%

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On possible shape isomers in the Pt-Ra region of nuclei

Nerlo-Pomorska

Pomorski

Bartel³

et al. 2017

Eur. Phys. J. A

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Abstract.A certain number of yet unknown super-and hyper-deformed shape isomeric states are predicted in even-even nuclei of the region between Pt and Ra, using the macroscopic-microscopic model based on the Lublin Strasbourg Drop for the macroscopic energy and shell plus pairing corrections evaluated through the Yukawa-folded mean-field potential for the microscopic part. A new, rapidly converging shape parametrization is used to describe the vast range of nuclear deformations between the ground and the fission isomeric states up to near the scission configuration. Quadrupole moments are evaluated in the local minima and turn out to be in good agreement with the experimental data wherever available.

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Section: Discussionmentioning

confidence: 99%

Section: Electric Quadrupole Momentsmentioning

confidence: 99%

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On possible shape isomers in the Pt-Ra region of nuclei

Nerlo-Pomorska

Pomorski

Bartel³

et al. 2017

Eur. Phys. J. A

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“…Our estimates of Q4 are not so good as those of [13], because we do not take into accoint the simple consistency condition evaluating the Strutinsky shell correction.…”

Section: Results Of the Calculationsmentioning

confidence: 84%

Coupling of the rotational motion with the axial vibrations of multipolarity 2 and 4

1984

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The unadiabatic effects related to the coupling between the rotational and vibrational degrees of freedom are investigated. The collective Hamiltonian is constructed using the concepts of the Bohr theory and includes the degrees of freedom corresponding to the axial quadrupole and hexadecapole vibrations. The coupling of the nuclear vibrations with the rotational motion is so strong that one has to multiply the inertial parameters and the moment of inertia by the factor 1.7 in order to get the experimental energies spacing in the ground state bands. The dynamical effects to the electric quadrupole and hexadecapole moments are considered. The parameter of unadiabaticity e calculated within the model agrees well with the experimental data.

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“…on the plane (a, α 4 ) by solving the eigenproblem of a corresponding 2D collective Hamiltonian for fixed elongations R 12 [21]. One has to bear in mind that it is very unlikely that fission occurs at some fixed R 12 or when the system reaches the scission line/surface.…”

Section: Numerical Resultsmentioning

confidence: 99%

Mass distribution of fission fragments within the Born-Oppenheimer approximation

Pomorski¹,

Ivanyuk

Nerlo-Pomorska³

2017

Eur. Phys. J. A

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Abstract. The fission fragments mass-yield of236 U is obtained by an approximate solution of the eigenvalue problem of the collective Hamiltonian that describes the dynamics of the fission process whose degrees of freedom are: the fission (elongation), the neck and mass-asymmetry modes. The macroscopic-microscopic method is used to evaluate the potential energy surface. The macroscopic energy part is calculated using the liquid drop model and the microscopic corrections are obtained using a Woods-Saxon single-particle levels. The four-dimensional modified Cassini ovals shape parametrization is used to describe the shape of the fissioning nucleus. The mass tensor is taken within a cranking-type approximation. The final fragment mass distribution is obtained by weighting the adiabatic density distribution in the collective space with the neck-dependent fission probability. The neck degree of freedom is found to play a significant role in determining the final fragment mass distribution.

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The dynamical effects in the ground state of nuclei

Cited by 9 publications

References 10 publications

On possible shape isomers in the Pt-Ra region of nuclei

On possible shape isomers in the Pt-Ra region of nuclei

Coupling of the rotational motion with the axial vibrations of multipolarity 2 and 4

Mass distribution of fission fragments within the Born-Oppenheimer approximation

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