ROLE OF HIGHER MULTIPOLARITY DEFORMATIONS IN THE FISSION-BARRIER HEIGHT OF A SPHERICAL SUPERHEAVY NUCLEUS

Role of the dimension of deformation space used in calculations of the (static) fission-barrier height [Formula: see text] is analyzed for a spherical nucleus. The superheavy nucleus 294116 is taken for the analysis. The study is done within a macroscopic-microscopic approach. It is found that the barrier height [Formula: see text] importantly decreases with increasing dimension of the space.

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ROLE OF HIGHER MULTIPOLARITY DEFORMATIONS IN THE HEIGHT OF FISSION BARRIER OF A DEFORMED HEAVY NUCLEUS

International Journal of Modern Physics E ◽

10.1142/s021830130500320x ◽

2005 ◽

Vol 14 (03) ◽

pp. 409-415 ◽

Cited By ~ 7

Author(s):

A. SOBICZEWSKI ◽

I. MUNTIAN

Keyword(s):

Barrier Height ◽

Heavy Nucleus ◽

Fission Barrier ◽

Axially Symmetric ◽

Microscopic Approach ◽

Deformed Nucleus

Role of higher-multipolarity deformations of a nucleus in its (static) fission-barrier height [Formula: see text] is studied. The study is done within a macroscopic-microscopic approach. A heavy deformed nucleus 250 Cf is taken for the analysis. It is found that, in the case of axially symmetric shapes, the inclusion of higher-multipolarity deformations increases [Formula: see text].

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DEFORMATIONS OF MULTIPOLARITY SIX AT THE SADDLE POINT OF HEAVIEST NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301308009781 ◽

2008 ◽

Vol 17 (01) ◽

pp. 265-271 ◽

Cited By ~ 2

Author(s):

L. SHVEDOV ◽

S. G. ROHOZIŃSKI ◽

M. KOWAL ◽

S. BELCHIKOV ◽

A. SOBICZEWSKI

Keyword(s):

Potential Energy ◽

Saddle Point ◽

General Type ◽

Superheavy Nucleus ◽

Deformation Space ◽

Microscopic Approach ◽

Main Attention ◽

Point Configuration ◽

Independent Parameters

Saddle-point configuration of heaviest nuclei is studied in a multidimensional deformation space. Main attention is given to the role of the deformation of multipolarity six of a general type, described by four independent parameters. The dependence of the potential energy of a superheavy nucleus on these parameters at the saddle-point configuration is illustrated. The analysis is performed within a macroscopic-microscopic approach.

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ROLE OF HIGHER-MULTIPOLARITY DEFORMATIONS IN THE POTENTIAL ENERGY OF HEAVIEST NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301307005855 ◽

2007 ◽

Vol 16 (02) ◽

pp. 425-430 ◽

Cited By ~ 3

Author(s):

M. KOWAL ◽

A. SOBICZEWSKI

Keyword(s):

Potential Energy ◽

General Feature ◽

Degrees Of Freedom ◽

Deformation Parameter ◽

Superheavy Nucleus ◽

Deformation Space ◽

Microscopic Approach ◽

Deformation Parameters ◽

6 Degrees Of Freedom

Potential energy of the superheavy nucleus 284114 is analyzed in a 6-dimensional deformation space. This space includes two quadrupole, three hexadecapole and one multipolarity-6 deformation parameter. The energy is minimized simultaneously in all 6 degrees of freedom. The analysis is done within a macroscopic-microscopic approach. As in the studies of other superheavy nuclei, the result is found to be very individual for a given nucleus. A more general feature is a small effect of one (γ4) of the hexadecapole deformation parameters on the energy of the nucleus.

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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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Nonaxial hexadecapole deformation effects on the fission barrier

International Journal of Modern Physics E ◽

10.1142/s0218301316500476 ◽

2016 ◽

Vol 25 (08) ◽

pp. 1650047 ◽

Cited By ~ 1

Author(s):

A. Kardan ◽

S. Nejati

Keyword(s):

Heavy Nucleus ◽

Degree Of Freedom ◽

Fission Barrier ◽

Deformation Space ◽

Microscopic Approach ◽

Barrier Heights ◽

Deformation Parameters

Fission barrier of the heavy nucleus [Formula: see text]Cf is analyzed in a multi-dimensional deformation space. This space includes two quadrupole ([Formula: see text]) and three hexadecapole deformation ([Formula: see text]) parameters. The analysis is performed within an unpaired macroscopic–microscopic approach. Special attention is given to the effects of the axial and non-axial hexadecapole deformation shapes. It is found that the inclusion of the nonaxial hexadecapole shapes does not change the fission barrier heights, so it should be sufficient to minimize the energy in only one degree of freedom in the hexadecapole space [Formula: see text]. The role of hexadecapole deformation parameters is also discussed on the Lublin–Strasbourg drop (LSD) macroscopic and the Strutinsky shell energies.

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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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ROLE OF THE NON-AXIAL OCTUPOLE DEFORMATION IN THE POTENTIAL ENERGY OF HEAVY NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301310015205 ◽

2010 ◽

Vol 19 (04) ◽

pp. 768-773 ◽

Cited By ~ 2

Author(s):

P. JACHIMOWICZ ◽

M. KOWAL ◽

P. ROZMEJ ◽

J. SKALSKI ◽

A. SOBICZEWSKI

Keyword(s):

Potential Energy ◽

Large Deformation ◽

Neutron Number ◽

Deformation Space ◽

Heavy Nuclei ◽

Microscopic Approach ◽

Large Space ◽

Global Energy ◽

Octupole Deformation

Role of the non-axial octupole deformation a32(Y32 + Y3-2) on the potential energy of heavy nuclei is studied in a large deformation space. The study is performed within a macroscopic-microscopic approach. A large region of nuclei with proton number 88 ≤ Z ≤ 112 and neutron number 128 ≤ N ≤ 156 is considered. It is found that while the a32 deformation alone lowers the energy of the nuclei by up to about 3 MeV (for nuclei around 238 Fm ), it has practically no effect on the global energy minima of considered nuclei, when the analysis is done in a large space.

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