SHELL CORRECTIONS FOR HEAVY AND SUPERHEAVY NUCLEI

The shell and pairing correction energies are calculated for heavy and superheavy nuclei (SHN) by means of the Strutinsky's method. The single-particle (s.p.) energy levels are obtained from the diagonalization of the Woods–Saxon s.p. Hamiltonian in the deformed harmonic oscillator basis for both neutrons and protons. The residual pairing interaction is calculated by means of the usual Bardeen–Cooper–Schrieffer (BCS) approximation. A two-dimensional deformation space describing axially and reflection-symmetric shapes of nuclei has been used. Based on the shell and pairing correction energies, the signatures of the magic numbers appear at the spherical shell closures Z = 82, 114, 164 and N = 126, 184, 228 and 308. There are also signatures for some other shell closures at, e.g., Z = 108 and N = 162 which appear only when the deformation degrees of freedom is taken into account.

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EFFECT OF NON-AXIAL DEFORMATIONS ON THE FISSION BARRIER OF HEAVY AND SUPERHEAVY NUCLEI

International Journal of Modern Physics E ◽

10.1142/s021830130901304x ◽

2009 ◽

Vol 18 (04) ◽

pp. 914-918 ◽

Cited By ~ 13

Author(s):

M. KOWAL ◽

A. SOBICZEWSKI

Keyword(s):

Large Deformation ◽

Neutron Number ◽

Quadrupole Deformation ◽

Fission Barrier ◽

Superheavy Nuclei ◽

Deformation Space ◽

Microscopic Approach ◽

Proton Number ◽

Heavy And Superheavy Nuclei

The effect of the non-axial quadrupole deformation γ2 on the height of the static fission barrier B f of heaviest nuclei is studied. Even-even nuclei with the proton number 92 ≤ Z ≤ 122 and the neutron number 136 ≤ N ≤ 188 are considered. The analysis is done within a macroscopic-microscopic approach with the use of a large deformation space. It is found that the effect reduces B f by up to about 2 MeV.

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EFFECT OF NON-AXIAL DEFORMATIONS OF HIGHER MULTIPOLARITY ON THE FISSION-BARRIER HEIGHT OF HEAVIEST NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301310014893 ◽

2010 ◽

Vol 19 (04) ◽

pp. 493-499 ◽

Cited By ~ 7

Author(s):

A. SOBICZEWSKI ◽

P. JACHIMOWICZ ◽

M. KOWAL

Keyword(s):

Barrier Height ◽

Neutron Number ◽

Fission Barrier ◽

Superheavy Nuclei ◽

Deformation Space ◽

Microscopic Approach ◽

Main Attention ◽

Proton Number ◽

Heavy And Superheavy Nuclei

The static fission-barrier height [Formula: see text] of heaviest nuclei is studied in a multidimensional deformation space. The main attention is given to the effect of the hexadecapole non-axial shapes on [Formula: see text]. The analysis is performed within a macroscopic-microscopic approach. A 10-dimensional deformation space is used. A large number of about 300 even-even heavy and superheavy nuclei with proton number 98 ≤ Z ≤ 126 and neutron number 134 ≤ N ≤ 192 are considered. It is found that the inclusion of the non-axial hexadecapole shapes lowers the barrier by up to about 1.5 MeV.

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SADDLE-POINT SHAPES OF HEAVY AND SUPERHEAVY NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301308009665 ◽

2008 ◽

Vol 17 (01) ◽

pp. 168-176 ◽

Cited By ~ 1

Author(s):

A. SOBICZEWSKI ◽

M. KOWAL ◽

L. SHVEDOV

Keyword(s):

Potential Energy ◽

Saddle Point ◽

Large Deformation ◽

Ground State ◽

Neutron Number ◽

Superheavy Nuclei ◽

Deformation Space ◽

Microscopic Approach ◽

Main Attention ◽

Heavy And Superheavy Nuclei

The potential energy of the heaviest nuclei is analyzed in a large deformation space. The main attention is given to shapes of these nuclei at their saddle point and to the comparison of these shapes with those at the ground state. The shapes are analyzed in a 10-dimensional deformation space. The analysis is performed within a macroscopic-microscopic approach. Even-even nuclei with proton number 98 ≤ Z ≤ 126 and neutron number 138 ≤ N ≤ 194 are considered.

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PROPERTIES OF HEAVIEST NUCLEI AT THE SADDLE-POINT CONFIGURATION

International Journal of Modern Physics E ◽

10.1142/s0218301310015497 ◽

2010 ◽

Vol 19 (05n06) ◽

pp. 1055-1063 ◽

Cited By ~ 1

Author(s):

A. SOBICZEWSKI ◽

P. JACHIMOWICZ ◽

M. KOWAL

Keyword(s):

Saddle Point ◽

Neutron Number ◽

Shell Correction ◽

Superheavy Nuclei ◽

Deformation Space ◽

Microscopic Approach ◽

Main Attention ◽

Point Configuration ◽

Heavy And Superheavy Nuclei ◽

Large Shell

Properties of heaviest nuclei at their saddle point are studied in a multidimensional deformation space. The main attention is given to deformation and the shell correction to energy of the nuclei at this point. The analysis is performed within a macroscopic-microscopic approach. A 10-dimensional deformation space is used. A large number of about 300 even-even heavy and superheavy nuclei with proton number 98 ≤ Z ≤ 126 and neutron number 134 ≤ N ≤ 192 are considered. Detailed results are illustrated for nuclei of the element 120. A large shell correction (up to about 7 MeV) is found for these nuclei. For most of them, the correction is larger than the height of the barrier, itself, as the macroscopic contribution to this height is negative.

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A general expression for matrix elements of reciprocal powers of the displacement coordinateq in the harmonic oscillator basis

Journal of Mathematical Chemistry ◽

10.1007/bf01165757 ◽

1995 ◽

Vol 17 (3) ◽

pp. 395-399 ◽

Cited By ~ 4

Author(s):

Pancracio Palting ◽

Shan Tao Lai ◽

Manzheng Fu

Keyword(s):

Harmonic Oscillator ◽

General Expression ◽

Matrix Elements ◽

Harmonic Oscillator Basis ◽

Oscillator Basis

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Hydrodynamic limits of kinetic equations for polyatomic and reactive gases

Communications in Applied and Industrial Mathematics ◽

10.1515/caim-2017-0002 ◽

2017 ◽

Vol 8 (1) ◽

pp. 23-42 ◽

Cited By ~ 1

Author(s):

M. Bisi ◽

G. Spiga

Keyword(s):

Degrees Of Freedom ◽

Continuum Limit ◽

Fluid Dynamic ◽

Energy Levels ◽

Kinetic Equations ◽

Navier Stokes ◽

Bgk Model ◽

Hydrodynamic Limits ◽

Stress Diffusion ◽

Reactive Gases

Abstract Starting from a kinetic BGK-model for a rarefied polyatomic gas, based on a molecular structure of discrete internal energy levels, an asymptotic Chapman-Enskog procedure is developed in the asymptotic continuum limit in order to derive consistent fluid-dynamic equations for macroscopic fields at Navier-Stokes level. In this way, the model allows to treat the gas as a mixture of mono-atomic species. Explicit expressions are given not only for dynamical pressure, but also for shear stress, diffusion velocities, and heat flux. The analysis is shown to deal properly also with a mixture of reactive gases, endowed for simplicity with translational degrees of freedom only, in which frame analogous results can be achieved.

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